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Elden [556K]
3 years ago
13

What is the answer to the questions​

Mathematics
1 answer:
loris [4]3 years ago
7 0
<h3>Answer:  x = 40</h3>

===================================================

Work Shown:

A+B+C = 180 ..... three angles of any triangle add to 180

(2x+10)+(x)+(2x-30) = 180

5x-20 = 180

5x = 180+20 .... adding 20 to both sides

5x = 200

x = 200/5 ... dividing both sides by 5

x = 40

This is the measure of angle B

We can stop here.

If you need to know the values of the other angles, then,

  • angle A = 2x+10 = 2*40+10 = 90
  • angle C = 2x-30 = 2*40-30 = 50

Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.

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Select all true statements for the triangle shown.
PIT_PIT [208]

Answer:

True Statement are

\sin E =\dfrac{11}{\sqrt{185}}

\sin D =\dfrac{8}{\sqrt{185}}

Step-by-step explanation:

Given:

DF = 11

EF = 8

DE = \sqrt{185}=Hypotenuse

In Right Angle Triangle DEF, the Sine Identity is

\sin D = \dfrac{\textrm{side opposite to angle D}}{Hypotenuse}\\

Substituting the values we get

\sin D = \dfrac{EF}{DE}=\dfrac{8}{\sqrt{185}}

\sin D =\dfrac{8}{\sqrt{185}} ....True

And also,

\sin E = \dfrac{\textrm{side opposite to angle E}}{Hypotenuse}\\

Substituting the values we get

\sin E = \dfrac{DF}{DE}=\dfrac{11}{\sqrt{185}}

\sin E =\dfrac{11}{\sqrt{185}} ....True

4 0
4 years ago
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If each dimension of the cylinder is doubled, how many
mash [69]
Doubling the radius will increase the base circular area to be quadrupled due to the squaring operation and thus increasing the volume of the cylinder to 4 times of its original value.
3 0
3 years ago
The measure of angle C is 20.5 angles C and D are complementary angles Find m
Kobotan [32]

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

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2 years ago
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Aleksandr [31]
6 fooo take this down
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3 years ago
What's the answer to all of it
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