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3 years ago

I’m stuck on this I would really appreciate if someone could answer this and explain so I could understand better :)

Mathematics

1 answer:

BARSIC [14]3 years ago

4 0

Complementary angles have a sum of 90 degree, right angle
It would be C. Since it’s the only 2 angles that form a right angle

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Cloud [144]

Answer:

r=12

Step-by-step explanation:

Look, we can reverse the problem to get 23-11=r. This means that r=12.

6 0

3 years ago

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What is the solution to (x + 8) > (2x + 10)?<br> (–∞, –4)<br> (–4, ∞)<br> (–∞, 4)<br> (4, ∞)

Citrus2011 [14]

Answer:

(–∞, -4)

Step-by-step explanation:

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2 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

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3 years ago

Solve the inequality 2-x<7

dedylja [7]

Answer:

x > -5

Step-by-step explanation:

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