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Lorico [155]
3 years ago
9

In circle O, RT and SU are diameters. If m = m, what is m? 47° 52° 64° 87°

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0
From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.

13x = 15x - 8
15x - 13x = 8
2x = 8
x = 8/2 = 4

Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.

RT is a diameter, which means that mRT = 180

mRV + mVU + 52 = 180

mRV + mVU = 180 - 52 = 128

Now, given that mRV = mVU,

Thus, 2mVU = 128

Therefore, mVU = 128 / 2 = 64°
algol [13]3 years ago
6 0

Answer:

64

Step-by-step explanation:

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Expand the following: 3(16x-24)
Fynjy0 [20]

Answer:

48x-72

Step-by-step explanation:

u multiply 3 by 16x then multiply 3 by 24 and bring down your  minus sign

6 0
3 years ago
Complete the equation so it has infinitely many solutions.
ANEK [815]

Answer:

2)27

Step-by-step explanation:

18+3(3+5x)=15x+____

18+9+15x is still the same as 15x+____

so 27+15x is =15x+27

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7 0
2 years ago
PLEASE HELP SOON!! AS POSSIBLE
NemiM [27]
I believe the anwser is c.
8 0
3 years ago
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti
Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>
  • The polygon with 3 sides, three vertices, and three angles is known as a triangle.
  • A triangle's overall number of degrees is always 180 degrees.

Given:

  • Let, the second angle has a measurement of x degrees.
  • The first angle's measurement is 24 degrees greater than the second angle's measurement.
  • As a result, the first angle is (24+x) degrees.
  • The third angle is four times as large as the second.
  • As a result, the third angle has a measure of 4x.

So,

  • (24 + x) + x + 4x = 180
  • 6x = 124 - 48
  • 6x = 156
  • x = 156/6
  • x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

  • = 24 + 26
  • = 50

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

  • 4 × 26 = 104

Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

7 0
2 years ago
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