<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>
Answer:
11 weeks
Step-by-step explanation:
i did the math but there was to much to put down
Answer:
C. y=x+7
Step-by-step explanation:
If you add 7 to the values on the left, you'll get the values on the right.
Answer:
Billy has $27.51
Step-by-step explanation:
First let's set up an equation to solve this problem.
Assign a variable to Billy's amount. Let's make it x.
Then we just interpret the problem and solve:
2x - 1.30 = 53.72
+1.30 +1.30
----------------------------
2x = 55.02
(Divide by 2 on both sides)
----------------------------
x = $27.51
2x = Billy's amount doubled
2x - 1.30 = Taking away 1.30 from double Billy's amount
53.72 = Sara's amount
Answer:
A) (x-7)/(x+4)
Step-by-step explanation:
(x^2-10x+21)/(x^2+x-12)=[(x-3)(x-7)]/[(x+4)(x-3)]=(x-7)/(x+4)
