Answer:
The second box plot best represents the data
On the Cartesian plane in two dimensions, the quadrants are <span>I (+,+), II (−,+), III (−,−), and IV (+,−). The numbering, starting in the upper right corner, goes counter-clockwise.</span>
Answer:
132 is the answer
Step-by-step explanation:
Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h =
≈ 20.8 ft ( to the nearest tenth )
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:
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