Describe All Situations Where Vertical Angles Are Also Supplementary
Tutors Answer Your Questions about Angles (FREE)
Question 1188945: n a triangle ABC, the measure of angle B is 4 times the measure of angle A, and the measure of angle C 2 is less than 5 times the measure of angle A.
Find the measure of the angle
Answer by ikleyn(42611)
You can put this solution on YOUR website! D U P L I C A T E Just answered and solved under this link https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1188949.html https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1188949.html /\/\/\/\/\/\/\/\/ Hello, as I see from your posts, they are quite inaccurate . . . First post was with no question. Then you posted another post, fully prepared. After that, you posted third post (duplicate), asking for an angle, but without pointing, Due to your inaccuracy, I should make my work THRICE. It is REALLY a BAD STYLE communicating with the tutors . . .
.
which exactly angle you are interested in of the three possible angles.
Question 1188949: In a triangle ABC, the measure of angle B is 4 times the measure of angle A and the measure C is 2° less than 5 times the measure of angle A
C=5x-2
B=4x
A=x
Solve for A
Answer by ikleyn(42611)
You can put this solution on YOUR website! ----------------- In the future, PLEASE, do not post problems with no question.
.
A + B + C = 180 degrees x + 4x + (5x-2) = 180 10x = 182 x = 182/10 = 18.2 degrees. ANSWER. The measure of the angle A is 18.2 degrees.
Solved.
Question 1188947: N a triangle ABC, the measure of angle B is 4 times the measure of angle A, and the measure of angle C is 2 degrees less than 5 times the measure of angle A.
A=x
b=4x
c=5x-2
Answer by ikleyn(42611)
You can put this solution on YOUR website! Correct, although you didn't ask your question. More precisely, it is, actually, only " conditionally " correct, by the modulo Also, in Geometry, CAPITAL letters are used for angles, by default. Lowercase letters are used to denote the sides of a triangle.
.
that I correctly guess, what you want to ask . . .
Question 1188946: Counting numbers are to be formed using only the digits 5, 4 and 2. Determine the number of different possibilities for two-digit numbers.
Answer by ikleyn(42611)
You can put this solution on YOUR website! ///////////// The problem does not specify if the digits' repeating is allowed. It is a HUGE HOLE in the problem's formulation. My solution above is for the case, when repetition of digits is not allowed. If, in opposite, it IS allowed, then the answer is different, OBVIOUSLY. In that case, the answer is 3*3 = 9.
.
Placing any of three digits in the tens' position gives 3 opportunity, and placing any of the two remaining digits in the ones' position gives 2 independent opportunities. In all, there are 3*2 = 6 such tw0-digit numbers.
Solved and explained.
Question 1188713: A body slide down an incline plane which make angle of 30° with the horizontal neglecting friction. Calculate
i) The velocity of the body after sliding 10m from rest.
ii) The time taken to slide 10m distance.
Found 2 solutions by ikleyn, Solver92311:
Answer by ikleyn(42611)
You can put this solution on YOUR website! Pay your attention on how I edited your post, making punctuation correct, in order for the post would have sense.
.
A body SLIDES down
AT incline plane which
MAKES angle of 30° with the horizontal.
Neglecting friction, calculate
a) The velocity of the body after sliding 10m from rest.
b) The time taken to slide 10m distance.
~~~~~~~~~~~~~~~~ (a) Notice that the height "h" is half of the hypotenuse, since the angle with horizont is 30. So, the height is
= 5 meters. The change of the potential energy between the levels h = 5 meters and h = 0 if P = mgh, where m is the mass of the body in kilograms and h = 10m/s^2 is the gravity acceleration. This change of the potential energy is spent to increase the kinematic energy of the body from 0 to
. where v is the magnitude of the velocity at the end. So,
= mgh. It is nothing elese as the energy conservation law in this problem. Canceling "m" in both sides, you get
= 2gh, or v =
. The last step is to substitute h = 5 m, g = 10 m/s^2 into this formula, and you get v =
=
= 10 m/s. ANSWER. The final speed (the magnitude of the velocity) is 10 m/s. (b) In this problem, the speed rise from 0 to 10 m/s uniformly with time. Hence, the average speed is the average between 0 and 10 m/s, which is 5 m/s. It implies that the time taken to slide is the full distance of 10 meters divided by the average speed of 5 m/s time taken to slide =
= 2 seconds.
Solved. // Both questions are answered.
Answer by Solver92311(680)
You can put this solution on YOUR website! Please post your Physics questions on a Physics website. This is a math website. John
My calculator said it, I believe it, that settles it
From
I > Ø
Question 1188598: given: IT is a diameter, PB bisects AS, IP=159 degrees, AN=23 degrees and AN=AT. Find the measurement of TNI
Answer by ikleyn(42611)
You can put this solution on YOUR website! What are these points P, B, A, S, and how do they relate to the circle and to its center ? Do you expect that I will guess it on my own ? If you do expect it, then you make a big mistake. It is YOUR JOB to present the problem clearly.
.
Question 1188599: Two concentric circles have a common center E and radii of 8 cm and 11 cm respectively. Points R, I, A,S, and H are points scattered around the circles. ER=10.5, EI=15 cm, EA=9 cm, ES=2cm, and EH=11 cm.
Answer by ikleyn(42611)
You can put this solution on YOUR website! Do the plot on your own. As soon as you complete this YOUR JOB, the answer will be as clear to you as 2 x 2 = 4. It is entirely YOUR JOB from the beginning to the end. Have a conscience and do not reload YOUR JOB to the shoulders of the tutors. As I understand from your post, all you want from tutors is that they work instead of you, doing your job. It is why I deleted your post, making it unusable.
.
Question 1188600: A chord 18 inches long is perpendicular to the radius of a circle. The distance of the intersection of the chord and the radius to the center of the circle is 3 inches. What is the radius of the circle? illustrate the circle and show your complete solution.
Answer by greenestamps(10066)
You can put this solution on YOUR website! The radius that is perpendicular to the chord bisects the chord. So the portion of that radius from the center to the chord, half of the chord, and a radius to the end of the chord form a right triangle; the lengths of the legs are 3 (given) and 9 (half of the chord length), and the hypotenuse is the radius of the circle. Use the Pythagorean Theorem to answer the question.
Question 1188611: two angles are complementary. the larger angle exceeds three times the smaller by 38°. what is the measure of each angle?
Answer by MathLover1(19170)
You can put this solution on YOUR website! if the larger angle exceeds substitute go to
Two angles are called complementary when their measures add to °.
let the larger angle be and the smaller angle
..........eq.1
times the smaller by
°, we have
.........eq.2
in eq.1
..........eq.1, solve for
°
.........eq.2, substitute
°
Question 1188545: An angle measures 108° less than the measure of its supplementary angle. What is the measure of each angle?
Answer by Alan3354(68010)
You can put this solution on YOUR website!
An angle measures 108° less than the measure of its supplementary angle. What is the measure of each angle?
---------------
S + A = 180
S - A = 108
Question 1188323: A school is looking into finding a company to supply spirit-wear clothing to the students. under armour advertises that they will charge $50 to make the original screen and $4 for the t-shirt they supply. Nike only charges $8 for every t-shirt they supply and $10 to make the original screen. ensure that your solution is in an organized manner, you should include calculation for both companies and then support your answer with a well-worded explanation.
(this is a question from my homework I would really appreciate it if you help with it.)
Answer by ikleyn(42611)
You can put this solution on YOUR website! Notice that your post does not include a question to your problem . . . It is STRANGE TO ME to see detailed instructions on how I (or you) should present a solution, having a question ( which is a KEY PART of the PROBLEM ) omitted. When I see a problem with no question, I always recommend to a visitor to They in MAD HOUSE accept everything at the free of charge basis without any objections . . .
.
A school is looking into finding a company to supply spirit-wear clothing to the students.
under armour advertises that they will charge $50 to make the original screen and $4 for the t-shirt they supply.
Nike only charges $8 for every t-shirt they supply and $10 to make the original screen.
ensure that your solution is in an organized manner, you should include calculation for both companies
and then support your answer with a well-worded explanation.
(this is a question from my homework I would really appreciate it if you help with it.)
~~~~~~~~~~~~~~~~~~
re-direct it to this address www.MAD-HOUSE.homeworkHELP.org.
Question 1188308: in lmn, mn is 26cm, mnl 90 degree and mln=31 degree. h lies on ln such that h is 24 cm. find mhn
Answer by Alan3354(68010)
You can put this solution on YOUR website!
in lmn, mn is 26cm, mnl 90 degree and mln=31 degree. h lies on ln such that h is 24 cm. find mhn
====================
Is h perpendicular to LN?
Question 1187599: A central angle 𝜃 in a circular garden of radius 20 meters is subtended by an arc of length 15𝜋 meters.
a. What is the measure of 𝜃 in degrees?
b. What is the area of the sector being described?
Answer by Theo(11859)
You can put this solution on YOUR website! the arc is 15 * pi. the central angle of the arc is 15 * pi / (40 * pi) * 360 = 135 degrees. the area of the sector is equal to 135/360 * 400 * pi = 150 * pi. the circumference and the area of the sector of the circle are proportion to the central angle of the sector divided by 360 * the circumference of the circle and also times the area of the circle. when the central angle of the sector is 135 degrees, then the fraction is 135/360. the circumference of the circle is 2 * pi * 20 = 40 * pi. the arc of the sector is 135 / 360 * 40 * pi = 15 * pi. the area of the sector is 135 / 360 * 400 * pi = 150 * pi. here's a reference on arc length of a sector and area of a sector. https://byjus.com/maths/sector-of-a-circle/
the radius of the garden is 20 meters.
the circumference of the garden is 2 * pi * r = 40 * pi.
the area of the garden is pi * r^2 = pi * 20^2 = 400 * pi.
the area of the circle is pi * 20^2 = 400 * pi.
this is not surprising since we used the circumference of the circle and the length of the arc to find the central angle.
Question 1187513: A wheel from a motor has springs arranged as in the figure in the image. Find m ∠DOC.
Here is a link to the image: https://imgur.com/a/sKM9jxr
For this I got 145 º, would this be correct?
Answer by ikleyn(42611)
You can put this solution on YOUR website! Your answer is correct !
.
Angle A is 20 degrees. Angle B is
= 15 degrees. Angle DOC = Angle AOB = 180 - (20+15) = 180 - 35 degrees = 145 degrees. ANSWER
Solved.
Question 1187456: In the diagram, Line AB is the diameter of the circle, and E is the centre. Find the measure of Angle D, in degrees.
Diagram:
https://ibb.co/47NT70R
Answer by ikleyn(42611)
Question 1187401: Two angles are supplementary if their sum is 180°. The larger angle measures five degrees more than four times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer by ikleyn(42611)
Question 1187046: At each vertex of a regular n-gon, the ratio of the interior angle to the exterior angle is 5:1. Find the value of n
Answer by ikleyn(42611)
You can put this solution on YOUR website!
.
At each vertex of a regular n-gon, the ratio of the interior angle to the exterior angle is 5:1.
Find the value of n
~~~~~~~~~~~~~~~~~~~~~~~~ Let x be the measure of the exterior angle; then the measure of the interior angle is 5x, according to the condition. Sp, we have x + 5x = 180 degrees, 6x = 180 x = 180/6 = 30. Thus the exterior angle is 30 degrees, and the number of sides (= angles) of the regular n-gon is n =
= 12. ANSWER
Solved.
Question 1186717: If ∠ABC and ∠DEF are complementary, the measure of ∠ABC =3x+7 and the measure of ∠DEF = 20 solve for x
Answer by Alan3354(68010)
You can put this solution on YOUR website!
If ∠ABC and ∠DEF are complementary, the measure of ∠ABC =3x+7 and the measure of ∠DEF = 20 solve for x
-------------------
ABC + DEF = 90
3x+7 + 20 = 90
etc
Question 1186663: The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Answer by math_helper(2288)
You can put this solution on YOUR website! ----
If you think about it, it is easily solved in your head.
Let x = the angle
We are given supplement = 71x
Also, supplementary angles add to 180:
x + 71x = 180
72x = 180 --> x = 180/72 = 2.5 180-x = 177.5
Ans: The angle is 2.5 degrees, and the supplement is 177.5 degrees
Question 1186495:
Answer by ikleyn(42611)
Question 1186291: (12x-13) and (17x-13)
Answer by greenestamps(10066)
Question 1186095: Three Support Beams For A Bridge Form A Pair Of Complementary Angles. Find The Measure Of Each Angle. Smaller Angle: X+3 . Larger Angle: 2x-3
Answer by MathLover1(19170)
You can put this solution on YOUR website!
Two angles are called complementary if their measures add to degrees.
if Smaller Angle: and Larger Angle:
, we have
then
Smaller Angle:
and
Larger Angle:
Question 1185985: The complement of an angle is 46 less than three time the angle. Find the measure of the angle
Answer by Alan3354(68010)
You can put this solution on YOUR website!
The complement of an angle is 46 less than three time the angle. Find the measure of the angle
---------------
(90 - A) = 3A - 46
Question 1185906: The supplement of the complement of the supplement of a 95 ° angle is how many degrees?
Found 2 solutions by MathTherapy, josgarithmetic:
Answer by MathTherapy(9944)
You can put this solution on YOUR website!
The supplement of the complement of the supplement of a 95 ° angle is how many degrees?
{180 - [90 - (180 - 95)]} [180 - (90 - 85)] 180 - 5 = 175o
Answer by josgarithmetic(36722)
(Show Source): You can put this solution on YOUR website! 95 degrees, the angle --------------------------------------- this much is -------------------------
-------------------------------
supplement of a 95 ° angle
-------------------------------
180-95, or 85 degrees, the supplement of the angle
complement of 85 degrees
--------------------------------------- ,
supplement of 5 degrees
-------------------------
Question 1185872: D. Convert the radian measure to radian measure.
1. 3π/2 radians
2. 5π/4
Answer by ikleyn(42611)
Question 1185871: Give the radian measure of the central angle of a unit circle and subtended by an arc of length 1/2.
Answer by ikleyn(42611)
Question 1185428: the measure of an angles supplement is 44 less than the measure of the angle. Find the measure of the angle and it's supplement.
Answer by ikleyn(42611)
You can put this solution on YOUR website!
.
the measure of an angles supplement is 44 less than the measure of the angle.
Find the measure of the angle and it's supplement.
~~~~~~~~~~~~~~~ Let x be the measure of the angle; then the supplementary angle is (180-x) degrees, and the problem gives us this equation to find x x - (180-x) = 44 degrees. Simplify and find x 2x = 44 + 180 = 224 x = 224/2 = 112. ANSWER. The measure of the angle is 112 degrees; the measure of its supplement is 180 - 112 = 68. CHECK. The difference of the measures is 112 - 68 = 44 degrees. ! Correct !
Solved.
Question 1185127: Convert 35.06 base eight to binary numbers using the three bits form
Answer by greenestamps(10066)
You can put this solution on YOUR website! Each octal digit converts directly to three binary digits: 3 --> 011 35.06 --> 011 101 . 000 110 (spacing added for clarity)
5 --> 101
0 --> 000
6 --> 110
Question 1185128: Divide 1010.01 base 2 by 11 base 2 giving your answer to 3 places after the binary point
Answer by Edwin McCravy(18985)
You can put this solution on YOUR website!
Arithmetic in any base is analogous to arithmetic in base ten. 11.011 11)1010.010 11 100 11 1 0 0 0 1 01 11 100 11 1 Edwin
Question 1185111: 3-7/6-1+13-3/-2+8
Answer by ikleyn(42611)
You can put this solution on YOUR website! When a numerical expression is written, it is just the students' job and duty to make all necessary calculations. It is the holy commandment of a student, from the creation of the world.
. Making calculations is the students' honor duty and a privilege.
Question 1185030: five times the complement of an angle is two times the angle's supplement plus 40 degrees. find the measure of the supplement.
Found 3 solutions by josgarithmetic, MathLover1, ikleyn:
Answer by josgarithmetic(36722)
(Show Source): You can put this solution on YOUR website! They are not the same thing. The description is ambiguous.
x, the angle
90-x, the complement of the angle
Or is the description attempting to say
Answer by MathLover1(19170)
You can put this solution on YOUR website!
let angle be
the complement of is
the supplement of is
if times the
of an angle is
times the angle's supplement plus
degrees, we have
the measure of the supplement:
Answer by ikleyn(42611)
Question 1184962: In triangle ABC, side AB measures |3x -6| side BC measures |x2-2x| and side
AC measures |2x +2| . What is the:
i)sine of angle A
ii)cosine of angle B
iii)tangent of angle A
Found 2 solutions by Edwin McCravy, josgarithmetic:
Answer by Edwin McCravy(18985)
You can put this solution on YOUR website!
I think you were given that ABC is a right triangle, perhaps with the right angle at B. Otherwise, there could be infinitely many solutions. I'm going to assume that's what you were given. If ABC is a right triangle, we can use the Pythagorean theorem, assuming AC is the hypotenuse
i)sine of angle A
That becomes a 4th degree equation with
which has real solutions x=4, and by calculator, real irrational solution x≈0.8262208691 So using x=4,
ii)cosine of angle B
iii)tangent of angle A
i)sine of angle A That's one solution. Using the irrational solution x≈0.8262208691
ii)cosine of angle B
iii)tangent of angle A
That's another solution. We could also do it assuming AB is the hypotenuse. We could also do it assuming BC is the hypotenuse. and, We could also do it assuming ABC is not a right triangle, In the future be sure to copy the problem accurately. copy it very carefully, then check for typos and omissions. Edwin
Answer by josgarithmetic(36722)
(Show Source): You can put this solution on YOUR website! No! Not the "lines"; the SEGMENT.
-----------------------------------
line AB measures |3x -6| line BC measures |x2-2x| and line AC measures |2x +2| .
----------------------------------
Question 1184969: Y is between X and Z. XY=3x+1, YZ=2x-2, and XZ=84. Find YZ.
Answer by MathLover1(19170)
Question 1184963: If the sine of angle A is 15/17. What is the
i)cosine of angle A
ii)tangent of angle A
Answer by MathLover1(19170)
Question 1184959: If angle B of isosceles triangle ABC is a right angle. What is tangent of angle A
Answer by ikleyn(42611)
Question 1184749: If K is the midpoint of segment JK, JK = 10x - 5 and KL = 12x - 15, What is JL?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(36722)
(Show Source): Answer by ikleyn(42611)
You can put this solution on YOUR website! Sorry, there is a FATAL ERROR in your post. The point K can not be the midpoint of the segment JK.
.
If K is the midpoint of segment JK, JK = 10x - 5 and KL = 12x - 15, What is JL?
~~~~~~~~~~~~~~~~
Question 1184748: If RS = 14 - 2x, ST = 6x - 5, and RT = 29, what is RS?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(19170)
Answer by ikleyn(42611)
You can put this solution on YOUR website! The solution and the answer DEPEND on which of the three points, R, S or T, is located BETWEEN the two other points. Accurately posed Math problem MUST explain it in the text.
.
Question 1184701: Find the value of the variable and LN if M is between L and N.
LM = 5a, MN = 3a, LM = 40
Answer by greenestamps(10066)
You can put this solution on YOUR website! The other tutor misread the given information.... LM=5a=40, so a=40/5=8 LN=LM+MN=5a+3a=8a=8(8)=64 ANSWERS: a=8; LN=64
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080
Describe All Situations Where Vertical Angles Are Also Supplementary
Source: https://www.algebra.com/algebra/homework/Angles/Angles.faq