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Sedbober [7]
4 years ago
9

Two supplementary angles have measures that are in the ratio of 5 to 7. Find the measure of the smaller angle

Mathematics
1 answer:
k0ka [10]4 years ago
7 0

Measure of the smaller angle is 75°

Step-by-step explanation:

  • Step 1: Sum of supplementary angles is 180°. Given ratio of angles is 5:7.

Let angles be 5x and 7x.

⇒ 5x + 7x = 180

⇒ 12x = 180

⇒ x = 15

  • Step 2: Calculate smaller angle which is 5x

⇒5x = 5 \times 15 = 75°

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3 years ago
Read 2 more answers
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5 0
3 years ago
Please help!!! Thank you!!!
Reptile [31]
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!
8 0
3 years ago
A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his
AleksAgata [21]

Answer: 1,425 students

Step-by-step explanation: This is easy to solve using proportions/

114/8 = ?/100

First, you cross multiply (or whatever this is called sry) 100x114=11400

Then divide 11400÷8=1,425

8 0
3 years ago
Write a linear function f with f(-3) = 1 and f(13) = 5
GalinKa [24]
D = (5-1)/(13-(-3)) = 0.25

f(13) = 13d + x = 13 * 0.25 + a = 3.25 + a = 5
a = 1.75

f(x) = 1.75 + 0.25x
7 0
4 years ago
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