a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
<h3>What is a Linear Pair?</h3>
A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
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Answer:
The length is 8 ft longer than its width, perimeter is 196 ft. Therefore, the width of the garden is 45 feet, and the length is 45+8 = 53 feet.
Step-by-step explanation:
Answer: C(x) = 13x +95
Step-by-step explanation:
Here's the remainder of the question:
If C(x) represents the total cost and x represents the number of people attending the banquet, which equation shows the total cost? A C(x)=95x – 13 B C(x)=13x – 95 C C(x)=95x +13 D C(x)=13x +95
Based on the information given in the question, the total cost will be:
= 95 + 13(x)
= 95 + 13x
Therefore, the correct answer will be C(x)=13x +95
Answer:
3 1/2 (three and one-half)
Step-by-step explanation:
Change 1 3/4 to 7/4.
Do keep, change, flip.
Keep the first fraction.
Change division to multiplication.
Flip 1/2 to 2/1.
Do 7/4 x 2/1 and get 14/4
Divide 14 by 4
You get 3.5 and you convert that to 3 1/2
I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.
