We first need to find the sum of the interior angles in a pentagon, which you do by doing (5 - 2) × 180, which equals 3 × 180 = 540°. Now you know that all of the angles inside the shape must add up to 540, so you can make an equation:
90 + 112 + 2x + 148 + 2x + 10 = 540
360 + 4x = 540
- 360
4x = 180
÷ 4
x = 45
I hope this helps!
Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
Answer:
B 68
Step-by-step explanation:
Answer: 0.0791
Step-by-step explanation:
Given : The probability that a baseball player will get a hit in any one at bat is 0.250.
Let x be the first hit.
According to the geometric probability , the probability that x (th) trial is the first success =
, where p is the probability of getting success in each trial.
As per given p= 0.250
Then, the probability that he will get his first hit on his 5th at bat will be :

Hence, the probability that he will get his first hit on his 5th at bat is 0.0791 .
Square has 4 equal sides so it would be the same for all the corresponding sides.
area of square =

=

=

area of triangle =

=

=

=

total area =