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Crank
3 years ago
7

DE is parallel to AC. Find the measure of angle x and z. Explain how you know.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

Answer:

x= 67 degrees and z= 54 degrees

Step-by-step explanation:

Using alternative interior angle, you can see that x is equal to 67 degrees

-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.

-In order to solve for z, you subtract 180-59-67= 54

Hope this helps!

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30, 10, -10

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Subtract each number below from the number above.

60 - 30 = 30

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What is angle F to the nearest degree?
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Answer:

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8 0
3 years ago
Is it A) , B) , C), D) , E)
Mrac [35]

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

1.66..=1 \frac{6}{9}

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9

Convert to mixed number

15/9=9/9+6/9=1 \frac{6}{9}

therefore

1.66..=1 \frac{6}{9}

Part B) we have

0.6 < 6\%

The statement is false

Because

6\%=6/100=0.06

so

substitute

0.6 < 0.06 -----> is not true

Part C) we have

45\% \leq4.5

The statement is True

Because

45\%=45/100=0.45

substitute

0.45 \leq4.5 ----> is true

Part D) we have

5^{2} \geq 16

The statement is True

Because

5^{2}=25

substitute

25 \geq 16 ----> is true

Part E) we have

9.25 > 9\frac{3}{4}

The statement is false

Because

Convert mixed number to an improper fraction

9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}

Convert decimal number to an improper fraction

9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}

substitute

\frac{37}{4} > \frac{39}{4} -----> is not true

8 0
3 years ago
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