All categories

3 years ago

ZA and ZB are supplementary angles. If m_A= (5x + 25)° and m

Mathematics

1 answer:

andrew11 [14]3 years ago

5 0

Answer:

B = 70

Step-by-step explanation:

Supplementary angles add to 180

5x+25 + 3x+19 = 180

Combine like terms

8x+ 44 =180

Subtract 44 from each side

8x+44-44 =180-44

8x= 136

Divide by 8

8x/8 = 136/8

x = 17

We want to find B

B = 3x+19 = 3(17)+19 = 51+19 = 70

You might be interested in

You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.

Sladkaya [172]

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

6 0

3 years ago

Bill wants to post three parcels.

ad-work [718]

The answer should be £6.70

3 0

3 years ago

-4 (-3x-2)+4=60 can you help me plz

Ede4ka [16]

X = 4.

You have to distribute by multiplying -4 by the numbers between -3x and -2.

12x + 8 =60

Subtract the 8 from 60 to simplify the equation.

12x = 48

Divide 12 by 48 and get 4.

x=4

8 0

3 years ago

Which line segments do you draw to find the center of a circle circumscribed about a triangle?

Nat2105 [25]

You draw perpendicular bisectors to find the center of a circle circumscribed about a triangle. Hook me up with 5 stars :)

6 0

3 years ago

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

3 years ago