Answer:
a. x = 7
b. x = 36/5
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
<u>a). To find the value of x</u>
From the figure 1 we get two similar triangles, ΔABC and ADE
We can write,
AB/AD = AC/AE
3/6 = x/(x + 7)
3(x + 7) = 6 * x
3x + 21 = 6x
6x - 3x = 21
3x = 21
x = 21/3 = 7
<u>b). To find the value of x</u>
From the figure b we get
ΔABC ~ ΔEDF
AB/DE = BC/DF
4/5 = x/9
x = (4 * 9)/5 = 36/5
B-a=0.
Starting from the original equation,
a+b=2a
We can isolate b by subtracting a from both sides:
a+b-a=2a-a
b=a
Substituting this into b-a, we have
a-a = 0
Answer:
2/3 = a/b
Step-by-step explanation:
6/9 = a/b
2/3 = a/b
X^2 + 2xy + -x + y^2 + -y + -12
Answer:
B) 6/7x2 = 1 5/7
Step-by-step explanation:
6/7 (2)
= ( 6/7) (2/1)
= (6)(2)/(7)(1)
12/7 or 1 5/7