Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
Step-by-step explanation:
the rate of change is the slope of the line connecting both points.
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here
x changes by -10 units (from -24 to -34)
y changes by -10 units (from 60 to 50).
the slope or rate of change is -10/-10 = 1/1 = 1
Answer: the decimal should still be there but you don’t want to have a zero so 3.42 would be correcr
Step-by-step explanation:
Step-by-step explanation:
Answer C)
Explanation:
MN + NP = MP
MP = 39
Therefore, 4(x + 5) + 2x + 1= MP
So, 4(x + 5) + 2x + 1= 39
(4x + 20) + 2x +1 = 39
So, (4x + 2x) + (20 + 1) = 39
6x + 21 = 39
Addition changes to Subtraction
So, 6x = 39 - 21
6x = 18
Multiplication changes to Division
x= 18/6
x=3
Therefore MN = 4(x + 5)
So, 4(3 + 5) = 4(8)
4(8) = 32
Therefore, MN = 32
Hope this helps!