Answer:
x=115 y=65
Step-by-step explanation:
You get 115 for X because angle x is vertical to 115 degrees.
You get 65 because y is supplementary to x, and 180-65=115.
Answer:
Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 12 inches
Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,

In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴ 
Therefore the value of x = 10 units
The question is an illustration of perimeters.
The amount of patio to remove to install the pool is 8 feet.
From the question, we have:


The perimeter of the patio is:



A 1ft walkway means that;
1ft would be subtracted from both sides of the patio before installing the pool
So, the perimeter of the patio in terms of the length of the pool is:

Equate both expressions


Divide both sides by 4

Subtract 2 from both sides

So, the perimeter of the pool is:


The amount of patio to remove is:

So, we have:


Hence, 8ft of the patio would be removed to install the pool
<em>See attachment for illustration</em>
Read more about perimeters at:
brainly.com/question/6465134