Option B. 55° is the correct answer
Step-by-step explanation:
"The sum of interior angles of a triangle is always 180°"
Given
m∠A=(3x+1)°
m∠B=(2x-1)°
m∠C = 40°
We know that
m∠A+m∠B+m∠C=180°
Putting the values of angles
![(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\](https://tex.z-dn.net/?f=%283x%2B1%29%20%2B%282x-1%29%20%2B40%20%3D%20180%5C%5C3x%2B1%2B2x-1%2B40%20%3D%20180%5C%5C5x%2B40%3D180%5C%5C)
Subtracting 40 from both sides
![5x+40-40=180-40\\5x=140](https://tex.z-dn.net/?f=5x%2B40-40%3D180-40%5C%5C5x%3D140)
Dividing both sides by 5
![\frac{5x}{5} = \frac{140}{5}\\x=28](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%20%3D%20%5Cfrac%7B140%7D%7B5%7D%5C%5Cx%3D28)
We have to find Angle B,
So
m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°
Hence,
m∠B=55°
Option B. 55° is the correct answer
Keywords: Triangle, Interior angles
Learn more about triangles at:
#learnwithBrainly
Answer:
see below
Step-by-step explanation:
1.)
(0, 4)
(1, 7)
![\frac{7-4}{1-0} = 3](https://tex.z-dn.net/?f=%5Cfrac%7B7-4%7D%7B1-0%7D%20%3D%203)
y = 3x + b
(4) = 3(0) + b
b = 4
y = 3x + 4
Rate of change: 3 initial value: 4
2.)
(0, -5)
(1, -3)
![\frac{-3-(-5)}{1-0} = 2](https://tex.z-dn.net/?f=%5Cfrac%7B-3-%28-5%29%7D%7B1-0%7D%20%3D%202)
y = 2x + b
(-5) = 2(0) + b
b = -5
Rate of change: 2 initial value: -5
Answer:
1. 65536
2. 458752000
Step-by-step explanation:
2 to the power of 16 is 65536
458752000=65536*7000