Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Answer:
The rate of change will be $25
Step-by-step explanation:
Since she started from $45 we have to count again so on the chart it goes 5, 10, 15, 20, and 25!
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Answer:
170 square inches
Step-by-step explanation:
triangle = 1/2 Base * height
1/2 *20 * 17 = 170 in^2
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula 
= 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = 
[ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
