Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
Answer: x=26
Step-by-step explanation:
1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°
2. Simplify the equation by combining like terms. Write the equation as 6x+24=180
3. Subtract 24 from both sides. Write the equation as 6x=156.
4. Divide 156/6 and get 26. That is your answer (x=26).
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.
Answer:
Total number of students = 360
Total number of girls = 120
Total number of boys = x / ?
120/240= 1/2
50%
Step-by-step explanation: To find out the percent of the boys you first
subtract the whole amount of students which is 360 students in total to the number of girls (120) resulting 240. 240 in ratio is 1/2. 1/2 is 50%.
(Not sure, if this helps or not. I try my best to answer questions to make the asker to understand! Sorry, I tried. :c)
Answer:
(f - g) (x)
Step-by-step explanation:
Since (x) is common between them, you can bring it out. for example,
f(x) = x +1
g(x) = 2x + 3
f(x) - g(x) = x + 1 - 2x + 3
= -x + 4
(f - g) (x) = x + 1 - 2x + 3
= -x + 4
