Let's draw a perpendicular GI from the point G on FJ.
So, GI = HJ = 24 ft
And IJ = GH = 24 ft
Let's assume FI = x.
Now we can use right triangle FIG to find the length of x.
By using Pythagorean formula we can set up an equation as following:
x² + 24² = 30²
x² + 576 = 900
x² = 900 - 576 Subtract 576 from each sides.
x² = 324
x = 18
Now FJ = FI + IJ
= 18 + 24
= 42
So, length of line segment FJ is 42 feet.
Hope this helps you!
0. Zero is zero. Moving a point 2 ft below deducts 2 from the original number(whatever it was). Moving a point 0 ft below deducts nothing so the answer is 0.
Answer:
27 more
Step-by-step explanation:
7/11 x 99 = 63
4/11 x 99 = 36
63-36 = 27
Answer:
9.14
Step-by-step explanation:
The family vehicle can go 300 miles on a tank of gas worth $40.
1. Find the cost of the gas in two options for Day 1.
First option:
300 miles - $40
304 miles - $x
Write a proportion:
\begin{lgathered}\dfrac{300}{304}=\dfrac{40}{x}\\ \\300x=304\cdot 40\\ \\30x=304\cdot 4\\ \\30x=1,216\\ \\x=\dfrac{1,216}{30}=\dfrac{608}{15}\approx 40.53\end{lgathered}
304
300
=
x
40
300x=304⋅40
30x=304⋅4
30x=1,216
x=
30
1,216
=
15
608
≈40.53
Second option:
300 miles - $40
260 miles - $y
Write a proportion:
\begin{lgathered}\dfrac{300}{260}=\dfrac{40}{y}\\ \\300y=260\cdot 40\\ \\3y=26\cdot 4\\ \\3y=104\\ \\=xy\dfrac{104}{3}\approx 34.67\end{lgathered}
260
300
=
y
40
300y=260⋅40
3y=26⋅4
3y=104
=xy
3
104
≈34.67
2. Calculate the total price:
First option:
Gas cost = $40.53
National park = $25
Lakes - free
Total cost = $65.53
Second option:
Gas cost = $34.67
Water park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Amusement park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Total cost =$74.67
Difference = 74.67 -74.67−65.53 = $9.14
-7x + 4y = -6
2x - 5y= 21
<u>Make it so x's are equal</u>
-14x + 8y = -12
-14x - 40y = 147
<u>Subtract</u>
-32y = -169
<u>Divide</u>
y = 5.28125
<u>Plug in the y value</u>
2x - 5(5.28125) = 21
<u>Simplify</u>
2x -26.40625 = 21
<u>Add</u>
2x = 47.40625
<u>Divide</u>
x = 23.703125
Hope this helps! ;)