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Rus_ich [418]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:

x

Step-by-step explanation:

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Find the value of x and y
Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

  • value of x
  • value of y

<u>Let's gather some information</u>:

  • ΔA'BC' and ΔABC are similar triangles

             ⇒ Angle B is shared by both triangles

             ⇒ Angle A' and A are the same, as they are both on parallel

                   lines, A'C' and AC, and both angles are formed with the

                   same line AB

                 ⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

   ⇒ their side lengths are proportional to each other

  • let's find x's value

          ⇒ let's set up a proportion

                 \frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143

  • let's find y's value

          ⇒ let's set up a proportion

                 \frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25

<u>Answer:</u>

  • <u>x= 17.143</u>
  • <u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

 

5 0
2 years ago
Find the measures of the supplementary angles that satisfy each case.
seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

3 0
3 years ago
Look at this view so cool right?
forsale [732]

Answer:

ahhhh so prettyyyyy

Step-by-step explanation:

5 0
3 years ago
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n=
Naily [24]

9514 1404 393

Answer:

  8

Step-by-step explanation:

Apparently, you want to evaluate ...

  0.1m +8 -12n

for m = 30 and n = 1/4.

Put the numbers where the corresponding variables are and do the arithmetic.

  = 0.1×30 +8 -12×(1/4) = 3 + 8 -3

  = 8

8 0
3 years ago
5 feet 8 inches equals how many inches
sweet [91]
There are 12 inches in a foot. To find how many inches are in 5 feet, multiply by 12:

5*12 = 60 inches

Add the 8 additional inches:

60 + 8 = 68 inches

The answer is 68.
3 0
4 years ago
Read 2 more answers
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