Answer:
750 feet^2
Step-by-step explanation:
Area of triangle = 1/2bh
(1/2)(100)(15)
750 feet^2
Answer:
44 sq. ft
Step-by-step explanation:
5(2^2) = 20
4(3x2) = 24
20+24 = 44
Answer:
Value of the independent variable = 25
Step-by-step explanation:
y-intercept form of a straight line is represented by the equation,
y = mx + b
here y = dependent variable
m = slope
b = y intercept or vertical intercept
x = independent variable
In our question,
y-intercept 'b' = 150
slope of the line 'm' = 4
dependent variable y = 250
We will plug in these values in the equation of the line to get the value of the independent variable.
250 = 4x + 150
250 - 150 = 4x
x = 
x = 25
Therefore, value of the independent variable is 25.
Based on the calculations, the scale factor for this dilation is equal to 1/3.
<h3>How to determine the scale factor for this dilation?</h3>
First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
Read more on scale factor here: brainly.com/question/17079307
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Answer:
y=14
Step-by-step explanation:
We are told that the legs of the isosceles trapezoid are AB and CD
AB = 7y - 4
CD = 8y - 18
In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD
⇒ 7y - 4 = 8y - 18
Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
