Answer:
14 feet
Step-by-step explanation:
To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:
p = 2 * l + 2 * w
Now we know that the total fencing value is $ 976 and that per foot is $ 16
that is, we can calculate the value of the perimeter, like this:
976/16 = 61
We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:
61 = 16.5 * 2 + 2 * w
solving for w:
w = (61 - 33) / 2
w = 14
which means that the width of the patio is 14 feet.
Answer:
DAMMIT I BIT MY FINGER
Step-by-step explanation:
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
Answer:
87 11/14
Step-by-step explanation:
1,229 ÷ 14
It can also be written as
1,229 / 14
14 in 12 is not possible
14 in 122 is 8 remainder 10
The 10 remaining + 9 in the the given expression
14 in 109 is 7 remainder 11
The answer is 87 11/14
87 whole number 11 over 14
1,229 / 14 = 87 11/14
