All categories

2 years ago

Find the measure of each angle.

Mathematics

1 answer:

motikmotik2 years ago

6 0

Answer:

m∠2 = 98°, m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

Supplementary angles

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

<h3>-Substitute</h3>

m∠2+m∠2-16=196°

2m∠2=196°

<h3>Divide both sides by 2</h3><h3 />

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°

You might be interested in

HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP

pychu [463]

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

$m\angle RPS=90^\circ$ [Right angle]

$(5x+15)^\circ=90^\circ$

$(5x+15)=90$

$5x=90-15$

$5x=75$

Divide both sides by 5.

$x=\dfrac{75}{5}$

$x=15$

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

$m\angle RQP=(2x+3)^\circ$

Putting $x=15$ , we get

$m\angle RQP=(2(15)+3)^\circ$

$m\angle RQP=(30+3)^\circ$

$m\angle RQP=33^\circ$

Therefore, the measure of angle RQP is 33 degrees.

8 0

2 years ago

Can someone help me simplify this?

ziro4ka [17]

=(14+3i) - (-12-7i) + (6+2i)
=14 + 3i +12 + 7i + 6 + 2i
=32 + 12i

7 0

3 years ago

An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

8 0

2 years ago

What is the absolute value of any nonzero numberraised to the power of zero

jarptica [38.1K]

The answer to your question is 0

8 0

3 years ago

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

jek_recluse [69]

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

3 0

2 years ago

Read 2 more answers