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2 years ago

By the definition of complementary angles, since

Mathematics

2 answers:

svlad2 [7]2 years ago

8 0

The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.

<h3>What are the missing statements in the proof?</h3>

Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.

Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.

Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.

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Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

3 years ago

Please help me I'm on a time crunch

Neporo4naja [7]

You multiple it by 20....
1:20
2:40
3:60
4:80
5:100
So it’s 80 inches by 100 inches (80x100) =800 square feet

8 0

3 years ago

Read 2 more answers

I don't understand!! I need to raise my geometry grade! WILL MARK BRAINLIEST IF CORRECT!!

DiKsa [7]

The correct answer is C. TR an YZ are equal to each other so you equal their equations and solve.

3 0

4 years ago

Which situation does not describe a casual relationship

MatroZZZ [7]

Answer:

he classic example of correlation not equaling causation can be found with ice cream and -- murder. That is, the rates of violent crime and murder have been known to jump when ice cream sales do. But, presumably, buying ice cream doesn't turn you into a killer (unless they're out of your favorite kind?

Step-by-step explanation:

7 0

3 years ago

-4n-40=-2(7n+5)<br> please show work

Grace [21]

Answer:

n=3

Step-by-step explanation:

-4n-40=-2(7n+5)

Distribute the -2

-4n -40 = -14n -10

Add 14n to each side

-4n+14n -40 = -14n +14n-10

10n -40 = -10

Add 40 to each side

10n -40+40 = -10+40

10n = 30

Divide each side by 10

10n/10=30/10

n =3

8 0

3 years ago