Answer:
a. ∠B
b. DC
Step-by-step explanation:
a. Since ABCDE and GHJDF are similar shapes, this implies that the angle of one point in one shape is equal to another angle of one point in the other shape. In this case, ∠H is equivalent to ∠B because they share the same relative point between the shapes. You can also approach this question by identifying that H is the second letter in the shape name. If you look at B, you will also notice that the second letter in the shape name is B.
b. Just like in part a, you are trying to find one relative value in one shape that is equal to the other shape. Look at the left side of the equation, you will notice that it is a ratio of sides. The goal is to match the left with the right side. The ratio is side GH:DJ. Notice that it is a ratio of the top right side to the bottom side of the shape. If you follow this format for shape ABCDE , you will notice that the top right side is AB and the bottom side is DC. Since the question is just asking for the denominator of the ratio, your answer is just DC
Answer:
Step-by-step explanation:
defition of slope(m) of a line:
A=(-1,-5)=(Xa,Ya) then Xa= -1 and Ya= -5
B=(3,-3)=(Xb,Yb) then Xb=3 and Yb= -3
Answer:
Step-by-step explanation:
<u>Given function:</u>
The function is plotted and it is below.
Simplifying
1.5d + 3.25 = 1 + 2.25d
Reorder the terms:
3.25 + 1.5d = 1 + 2.25d
Solving
3.25 + 1.5d = 1 + 2.25d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-2.25d' to each side of the equation.
3.25 + 1.5d + -2.25d = 1 + 2.25d + -2.25d
Combine like terms: 1.5d + -2.25d = -0.75d
3.25 + -0.75d = 1 + 2.25d + -2.25d
Combine like terms: 2.25d + -2.25d = 0.00
3.25 + -0.75d = 1 + 0.00
3.25 + -0.75d = 1
Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.75d = 1 + -3.25
Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.75d = 1 + -3.25
-0.75d = 1 + -3.25
Combine like terms: 1 + -3.25 = -2.25
-0.75d = -2.25
Divide each side by '-0.75'.
d = 3
Simplifying
d = 3
Add the zeros on to 7.5 to which you would move the decimal and it should be like this 750.0 or 750
