Isolate the x. Note the equal sign. What you do to one side, you do to the other.
First, subtract 2 from both sides
2 (-2) - x = (5/8) - 2
-x = 5/8 - 2
Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:
-x = 5/8 - 16/8
-x = - 11/8
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-11/8)/-1
x = 11/8
11/8 is your answer for x
<em>~Rise Above the Ordinary</em>
Answer:
The height of the tree = 25 feet
Step-by-step explanation:
From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet
∠AFE = 90° and ∠ACB = 90°
To find : CB, the height of the tree.
Solution : In ΔAEF and ΔAB C
∠AFE = ∠ACB = 90°
∠A is common angle.
So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC
Now, sides of similar triangles are proportional to each other

Hence, The height of the tree = 25 feet
Answer: the perimeter of this L shaped figure is 10 units, so scaling it by 3× would make the perimeter 30 units. so the scale factor is 3
Answer:
ATM=NOP
Step-by-step explanation:
we know that NP=TM
we know that OP=AM
we know that angle NOP= angle TAM
using side angle side theorem (SAS) we can determine congruency
Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15