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solong [7]
3 years ago
15

Find the value of x in each case Please ASAP

Mathematics
2 answers:
likoan [24]3 years ago
7 0

Answer:

1. x = 20

2. x = 45

Step-by-step explanation:

First Picture:

Because of vertical angles theorem, ECD is congruent to ACB making ACH 2x

Since a triangle adds up to 180 we can use the equation 2x + 2x + 100 = 180

From this, you will get x = 20

Second Picture:

Because we know that the lines are parallel you can use alternate interior angles theorem and make RST x too

Like the other problem, we can use an equation

In this case it is x + 2x + x = 180

You should get x = 45

emmasim [6.3K]3 years ago
5 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

<u>First problem</u>:

Vertically opposite angles are equal. The angle opposite of 3x is equal to 3x. Angle ACH becomes 2x because 2x + x = 3x.

Angles in triangle add up to 180 degrees.

2x + 2x + 100 = 180

4x = 80

\boxed{x = 20}

<u>Second problem</u>:

Alternating angles are equal. Angle RST is x.

Angles in a triangle add up to 180 degrees.

2x + x + x = 180

4x = 180

\boxed{x=45}

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Some people find this helpful to picture or draw on a number line. Start at zero, go left to -5. Go 2 more spaces/marks left to -7, then go right three spaces to -4.
8 0
3 years ago
Find the length of a rectangle given that the perimeter is 180 feet and the length is 5 times the width.
Tatiana [17]

Answer:

Hi there!

Your answer is:

The length is 75

Step-by-step explanation:

P=180

L=5w

Perimeter formula

L+L+W+W=P

Plug in known values

5W+5W+W+W=180

12W=180

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W=15

Plug in width in length formula!

L=5W

L=5(15)

L=75

4 0
4 years ago
Cody is carrying seven pages of math homework and three pages of English homework. A gust of wind blows the pages out of his han
densk [106]

Answer:

1/20

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Name each polynomial by degree first, and then number of terms.<br> -3a
vredina [299]

Answer:binomial, polynomial,trinomial

Step-by-step explanation:

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3 0
3 years ago
Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD​
levacccp [35]

Given:

m\angle ABC=65^\circ

m\angle BCD=105^\circ

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

m\angle ABC=65^\circ

m\angle BCD=105^\circ

The angles m\angle ABC and m\angle BCD are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

m\angle ABC+m\angle BCD=65^\circ+105^\circ

m\angle ABC+m\angle BCD=170^\circ

m\angle ABC+m\angle BCD\neq 180^\circ

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

6 0
3 years ago
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