Answer:
The value of x is 4.
Step-by-step explanation:
Given:
In ΔABC
m∠A = 10x+9
m∠B = 34°
m∠C = 97°
To Find:
x= ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.

The value of x is 4.
Answer:
The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
<u><em>Verification:-</em></u>
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio

Hence The height of tree house is 70.71 feet