If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer:
7. 36 8. 1 9. 21
Step-by-step explanation:
You plug in the variables in the equation.
7.
8. 
9. 
The answer is positive 1/5. Here is a tip, when reading a graph read from left to right. If it is going up to the right it is positive. If it goes down going to the right it is negative. Also think rise/run. Count how many times it goes up(or down) then count how long the line goes.
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates 
and 
, the slope of the line passing through the two points is given by the equation
In this problem, the coordinates of the two points are:
and
which means:
Substituting all these values into the equation of m, we find the slope of the line:
The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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Answer:
70 cm^2
Step-by-step explanation:
The area of square is 5×10=50 plus the square of triangle, high of triangle is 18-10=8 and base of triangle is 5 because it common base with square, so the square of triangle is 1/2(8)(5)=20
The total area is 50+20=70 cm^2
