Answer:
EF = 58/7
Step-by-step explanation:
If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:
BP/7 = (BP+7x)/10
10BP = 7*(BP+7x)
10BP = 7BP+49x
3BP = 49x
BP = (49/3)x
BP/7 = (BP+3x)/EF
EF = (BP+3x)*7/BP
EF = ((49/3)x + 3x)*7/((49/3)x)
EF = ((58/3)x*7*3)/(49x)
EF = 58/7
The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56
<h3>How to write and solve equation</h3>
- Amount paid per hour for babysitting =$4
- Total amount made = $56
- Hours spent babysitting on Sunday = 8 hours
Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour
= 8 × 4
= $32
Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4
= 56 - 32 ÷ 4
= 24 ÷ 4
= 6 hours
A. 8x+4 = 56
8x = 56 - 4
8x = 52
x = 52/8
x = 6.5
B. 4x+8 = 56
4x = 56 - 8
4x = 48
x = 48/4
x = 12
C. 8(x + 4) = 56
8x + 32 = 56
8x = 56 - 32
8x = 24
x = 24/8
x = 3
D. 4(x + 8) = 56
4x + 32 = 56
4x = 56 - 32
4x = 24
x = 24/4
x = 6
Learn more about equation:
brainly.com/question/16863577
Its to so you can be comfortable while sleeping
Answer:
The fourth one
Step-by-step explanation:
Only the first one x and y interval 1, 2. The rest aren't linear.
