Find x. (More info in pic)
1 answer:
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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
- let's find y's value
⇒ let's set up a proportion
<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
The simplified form of the expression 1/6 (30x + 24) – 1/7 (63 – 7x) will be 6x – 5.
The complete question is given below.
<h3>What is simplification?</h3>Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 1/6 (30x + 24) – 1/7 (63 – 7x)
By simplifying we have
⇒ 1/6 × 30x + 1/6 × 24 – 1/7 × 63 + 1/7 × 7x
⇒ 5x + 4 – 9 + x
⇒ 6x – 5
Then the simplification process is done.
More about the simplification link is given below.
#SPJ1
