The x-intercept is the x-coordinate of a point where a graph intersects the x-axis and the y-intercept is the y-coordinate of a point where a graph intersects the y-axis. For example, (-4,0) -4 is the x-intercept and (0,6) 6 is the y-intercept
ABC
Solve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88
Check
<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180
It checks and we are done with this triangle.
A'B'C'
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88
Conclusion
A = A'
B = B'
C = C'
All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.
Comment
Note: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem.
Answer:
250 square feet
Step-by-step explanation:
This problem can be easily solved using ratios.
It says that
pound covers 375 sq. ft.
So, how much would 1 pound cover?
Let 1 pound cover "x" pounds. We can setup up two ratios and equate them. Then cross multiply and solve for x.
Note: Pounds on numerator and Square Feet on denominator

Hence, 1 pound of wildflower seeds will cover an area of 250 square feet
the units of measurement for the composite function s(w(h)) is
. Correct option A) .
<u>Step-by-step explanation:</u>
Here we have , Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. We need to find What are the units of measurement for the composite function s(w(h)) . Let's find out:
Basically we have two functions as ,
s(t) : how many signs Mary paints per hour
⇒ 
w(h) : how many hours per week Mary spends painting the wooden signs
⇒ 
In function composition, if we have two function f(x) and g(x) then
(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. So , In s(w(h)) :
⇒ 
⇒ 
Therefore , the units of measurement for the composite function s(w(h)) is
. Correct option A) .
Answer:
0.45
Step-by-step explanation: