Answer:
22
Step-by-step explanation:
The preimeter is adding all sides together. I took 154-55 twice sense we have four sides of a rectangle and two are lengths. after that i got 44. I then just remembered we had two sides left so divided that by 2 and got 22
Answer:
-8 km
Step-by-step explanation:
Answer: 21
Step-by-step explanation: We are given that angle ABC is dilated with center P.
Scale factor=3
Angle A'B'C' is formed after dilation of angle ABC.
Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.
After dilation, the size of figure changes.
The initial figure and the figure obtained after dilation are similar in shape.
When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.
The measure of angle ABC=21'
After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'
Because the shape does not change in dilation transformation.
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
Answer: x = 10
Step-by-step explanation:
The sum of all interior angles in a polygon add up to 360°
Meaning to find X we grab those numbers/variables and make them equal to 360°. This will give us an equation.
106 + 94 + 135 + x + ( x + 5 ) = 360
335 + x + x + 5 = 360
340 + 2x = 360
subtract 340 from both sides
2x = 20
Divide by 2
x = 10
Now solve the angle equations to find their angle.
( 10 + 5 ) = 15
x = 10
Now to check if it's right add them together
106 + 94 + 15 + 10 + 135 = 360 ( ITS CORRECT )
