Given:
In a right angle triangle, the measure of exterior angle is 
.
The measure of opposite interior angle is 
.
To find:
The value of x.
Solution:
Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.
Using exterior angle theorem, we get
Isolate the variable x.
The value of x is 15. So, the measure of the exterior angle is:
Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.
Answer:
25.2X + 3.4 centimeters.
Step-by-step explanation:
The formula for the perimeter of a rectangle
= 2L + 2W
= 2(L + W)
From the question:
Width of a rectangle (W) = 9.7 X - 4.7 centimeters
Length of a rectangle (L) = 2.9 X + 6.4 centimeters
Imputing it into the formula
2(L + W)
2( 9.7X - 4.7 + 2.9X + 6.4)
2 (9.7X + 2.9X - 4.7 + 6.4)
2( 12.6X + 1.7)
= 25.2X + 3.4 centimeters.
Therefore, the perimeter of the rectangle = 25.2X + 3.4 centimeters.
Check the picture.
Let the given points represent the following:
F : Charlie's feet
E: Charlie's eyes
P: location of the plane
G: the foot of the perpendicular drawn from P to the ground
A: a point on PG, such that |GA|=|FE|=5.2 feet.
Clearly EAP is a right triangle, with m(AEP)=32°, side PA=1,700-5.2=1694.8 feet.
<span>the ground distance from Charlie to the plane is |FG|=|EA|
from right angle trigonometry, we know that:
</span>
<span>
</span>
<span>
</span>
feet
<span>
Answer: 2711.68 feet</span>
6 inches x 8 inches = 48 inches
48 inches x 1.5 feet = 72 feet
72 feet x $9.75 = $702 <-- Total
Answer $720
When you see the subtraction<span> (</span>minus<span>) sign followed by a </span>negative<span> sign, turn the two signs into a plus sign. Thus, instead of </span>subtracting<span> a </span>negative<span>, you're adding a </span>positive<span>, so you have a simple addition problem.</span>
