Answer:
C, (x = 100, y = 10)
Step-by-step explanation:
hi again,
(2x - 70) = (x + 30), by the Alternate Exterior Angles
x - 70 = 30
<em>x = 100</em>
<em />
(2x - 70) + 5y = 180, by the Linear Pair Theorem
2(100) - 70 + 5y = 180
200 - 70 + 5y = 180
130 + 5y = 180
5y = 50
<em>y = 10</em>
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒ 
⇒ 
⇒
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer:
x = 10
Step-by-step explanation:
3x - 5 = 2x + 5
Both triangles equal 25
Subtract 2x → You get left with x
x -5 = 5
Add five... which leaves you with↓
x = 10
Then substitute x for 10
(3 · 10) - 5
25
(2 · 10) + 5
25
You know this is true because they equal each other.
I hope this could help!!
You will need to drain 1016.308 gallons an hour
Answer:
The answer to your question is: x⁴ + 4x³ + 8x² + 8x - 5
Step-by-step explanation:
(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5
= x⁴ + 4x³ + 8x² + 8x - 5