2 years ago

In ∆ PQR, ∠P = 75°, ∠Q = 60° then ∠R =

Mathematics

1 answer:

densk [106]2 years ago

6 0

Step-by-step explanation:

<R = 180-<P-<Q

<R= 180-60-75

<R = 45°.

hope this helps you

You might be interested in

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

2 years ago

Roger had a farm with a certain number of orange trees. he had to cut down 5 trees to control the insects. each of the remaining

Oksi-84 [34.3K]

41790/210 = 199
199 + 5 = 204.

3 0

2 years ago

Read 2 more answers

Can somebody help me & explain

Ganezh [65]

Answer:

Step-by-step explanation:

D because it shows that 1x1/3 is shown on # D

5 0

2 years ago

At the end of a film, the year is given in Roman numerals.

dem82 [27]

Answer:

MMVI=2006 M MEANS 1000 AND ONE MORE M MEANS 1000 TOTAL 2000 THEN VI IS THE NUMBER SIX 6

5 0

2 years ago

Read 2 more answers

Use the grouping method to factor the polynomial below completely.<br> x - 4x² + 3x - 12

N76 [4]

Answer:

6xsquare

Step-by-step explanation:

that is my answer

3 0

2 years ago

Read 2 more answers

In ∆ PQR, ∠P = 75°, ∠Q = 60° then ∠R =​

In ∆ PQR, ∠P = 75°, ∠Q = 60° then ∠R =