Answer:
ZB = 54
Step-by-step explanation:
Complementary angles add to 90 degrees
ZA + ZB = 90
x-15 + x+3 = 90
Combine like terms
2x-12 =90
Add 12 to each side
2x-12+12 = 90+12
2x = 102
Divide by 2
2x/2 = 102/2
x = 51
We want to find the measure of ZB
ZB = x+3
ZB = 51+3
ZB = 54
If AB = BC then set up the equation 3x - 4 = 5x - 10
Subtract 3x.
-4 = 2x - 10
Add 10.
6 = 2x
Divide by 2.
3 = x
AB is 3x - 4 so
3(3) - 4
9 - 4
5.
AB = 5
If AB is not equal to BC then this is not solvable.
But if they are I am sure AB = 5.
Hope this helps
Answer:
<h3><em>
D. 880 = 45d + 70; 18 days.</em></h3>
Step-by-step explanation:
We are given fixed monthly charge = $70.
The cost of preschool per day = $45.
Number of days = d.
Total cost of d days = cost per day × number of days + fixed monthly charge.
Therefore, we get equation
880 = 45×d+70
<h3>880 = 45d +70.</h3>
Now, we need to solve the equation for d.
Subtracting 70 from both sides, we get
880-70 = 45d +70-70
810=45d
Dividing both sides by 45, we get
18=d.
Therefore,<em> 18 days Barry attended preschool last month.</em>
<em>Therefore, correct option is D option.</em>
<h3><em>
D. 880 = 45d + 70; 18 days.</em></h3>
Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
