Answer:
<h3>B. 4units</h3>
Step-by-step explanation:
Find the diagram attached. The diagram is a similar triangle.
From the diagram, XZ/XY = CA/AB
Given XZ = 2x-2+2x-2 = 4x-4
XY =5x-7
CA = 2x-2
AB= x+1
On substituting this parameters into the formula to get x first
4x-4/5x-7 = 2x-2/x+1
cross multiply
(4x-4)(x+1) = 5x-7(2x-2)
open the parenthesis
4x²+4x-4x-4 = 10x²-10x-14x+14
4x²-4 = 10x²-24x+14
10x²-4x²-24x+14+4 = 0
6x²-24x+18 = 0
x²-4x+3 = 0
x²-3x-x+3 = 0
x(x-3)-1(x-3) =0
(x-3)(x-1) = 0
x = 3 and 1
Next is to get length AX.
Given AX = 2x-2
Substitute x = 3 into the expression
AX = 2(3)-2
AX = 6-2
AX = 4 units
Hence the measure of length AX is 4 units
Answer:
b. $2.50
Step-by-step explanation:
Let us take a step by step approach by simplifying each sentence:
Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job
Number of hours worked per week = 12hours
Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour
Pay per hour is 8hr, a raise of x gives 8 + x
Sentence 3: New total wage = 12(8+x)
Sentence 4: Amount earned last week = $126
New total wage = Amount earned last week
12(8 + x ) = 126
96 + 12x = 126
12x = 126 - 96
12x = 30
x = $2.50
Amount of raise is $2.50
Answer:
Triangle AEC can be proved congruent to triangle BED by St= 8x2 .
Step-by-step explanation:
Here u can see rate of cahnge of y over x is called slope =5
So point slope form of a line
Y-y1=m(x-x1)
Y-15=5(x-3)
