Answer:
x = 6
Step-by-step explanation:
<GHA + <AHI = <GHI
(8x + 2) + (13x + 9) = 137
8x + 13x + 2 + 9 = 137
21x= 137 - 11
x = 126/21
x = 6
Answer:
y = 10-2x
Step-by-step explanation:
2x+y=10
y=10-2x
The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.
<h3>What is the Pythagorean theorem?</h3>
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.
By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.
H² = 20² - 10²
H²= 400 - 300
H² = 300
H = √300
H = 17.32 ft.
Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.
To know more about the Pythagorean theorem follow
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P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
P(x)=2.5x-(0.5x+3)
P(x)=2x-3
thus for profit of $99, the number of units will be found as follows:
99=2x-3
solving for x we get:
102=2x
x=56 units
⓵
-4ỿ = 8
Simplify the left side in order to isolate the ỿ!
-4ỿ = 8
+4 +4
Ỿ = 12
⓶
× + 3y - 3z = -26
Simplify the left side in order to isolate the ×, ỿ and z!
× + 3y - 3z = -26
÷3 ÷3
× + ỿ - 3z = -8,66 periodic
÷-3 ÷-3
× + ỿ + z = 2,88 periodic
⓷
2× - 5ỿ + z = 19
Simplify the left side in order to isolate the ×, ỿ and z!
2× - 5ỿ + z = 19
÷2 ÷2
× - 5ỿ + z = 9,5
÷-5 ÷-5
× + ỿ + z = -1,9
