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2 years ago

WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.

Mathematics

1 answer:

DochEvi [55]2 years ago

7 0

Answer:

angle M = 18°

Step-by-step explanation:

angle M + angle N + angle O = 180°

so from question

angle M + 5(angle M) + 4(angle M) = 180°

so angle M = 18°

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What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST I NEED A DOUBLE CHECK THANKS

Marizza181 [45]

Answer:

the last one

Step-by-step explanation:

cus i am smart

8 0

2 years ago

9 minus t equals t plus 3

Zarrin [17]

9-t=t+3
Subtract t on both sides
-2t=-6
Divide by -2 to leave the variable by itself
t=3

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3 years ago

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ivolga24 [154]

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fredd [130]

The answer to your question is 3

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3 years ago