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3 years ago

12

Find the measure of the missing angles.

1 answer:

oksano4ka [1.4K]3 years ago

4 0

We know that vertically opposite angles are equal.

So, k = 131° [Vertically opposite angles]

and g = 43° [Vertically opposite angles]

We know that linear pair of angles are supplementary (180°).

So, h + 43° = 180° [Linear pair of angles]

=> h = 180° - 43°

=> h = 137°

and m + 131° = 180° [Linear pair of angles]

=> m = 180° - 131°

=> m = 49°

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His composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Vera_Pavlovna [14]

We can solve by figuring the area of the rectangle then add it to the area of the semicircle.

Area of the rectangle: length · width = 6 · 10 = 60 ft²

Area of the semicircle: (πd²)/8 = (3.14 · 6²)/8 = (3.14 · 36)/8 = 14.13 ft²

Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²

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3 years ago

Read 2 more answers

What is 0.0044 as a percentege

Rashid [163]

0.0044 as a percentage0.44%

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3 years ago

A grocery store charges $1.49 per pound of bananas. Use this unit rate to find the price of 3 pounds of bananas.

Tom [10]

Answer: 4.47

Step-by-step explanation:

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3 years ago

Daisy purchases a gym membership.She pays a signup fee and a monthly fee off 13$.After 4 months, she has paid a total of$69.Use

bulgar [2K]

Answer:

The signup fee is $17

Step-by-step explanation:

we know that

The equation in point slope form is equal to

$y-y1=m(x-x1)$

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

$m=\$13\ per\ month$

The ordered pair is

$(x1,y1)=(4,69)$

substitute

$y-69=13(x-4)$ ----> equation in point slope form

Convert to slope intercept form

$y-69=13x-52$

$y=13x-52+69$

$y=13x+17$ ---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17

4 0

3 years ago

Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do

grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

$WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}$

Since triangle WXY is Isosceles, $\angle XYW=45^\circ$

$\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ$

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

$WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7$

3 0

3 years ago