5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)
$25.00 + $58.75 = $83.73 (total)
Answer:
13 =x
z =88
Step-by-step explanation:
7x+1 is a vertical angle to 9x -25
That means they are equal
7x+1 = 9x-25
Subtract 7x from each side
7x-7x+1 = 9x-7x-25
1 = 2x-25
Add 25 to each side
1+25 =2x-25+25
26 = 2x
Divide by 2
26/2 = 2x/2
13 =x
7x+1 and z are supplementary angles, which means they add to 180
7x+1 +z = 180
We know x
7(13) +1 +z = 180
91 +1 +z = 180
92 +z = 180
Subtract 92 from each side
92-92 +z = 180-92
z =88
Answer:
c. Change the length of side CB to 8 feet
Step-by-step explanation:
If the figures are similar, the ratios should be the same
Take the side of the larger triangle over the same side of the smaller
PR PQ RQ
----------- = --------------------= ----------------
AC AB CB
7.5 5 10
----------- = --------------------= ----------------
6 4 9
7.5 /6 = 1.25
5/4 = 1.25
10/9 =1.1111(repeating)
The bases are not in the right ratio. RQ over CB = 1.25. Since RQ = 10 and the ratio is 1.25, we can solve for CB
10/CB = 1.25
Multiply by CB on each side
10 = 1.25CB
Divide by 1.25 on each side
10/1.25 = CB
8 =CB
