Hey there! :D
All angles in a triangle equal 180 degrees. An exterior angle is supplementary to the interior angle next to it. (also equal to 180 degrees)
92+24+<B= 180
116+<B= 180
Subtract 116 on both sides.
<B= 64
So,
180-64= 116
The exterior angle of <B is equal to 116 degrees.
I hope this helps!
~kaikers
To solve this, you have to know the formula for the area of a trapezoid:
In this question:
base 1 = 25
base 2 = 35
height = 12
The area is
360
Answer:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.
Bill's original ratio is like this...
6 to 10
You need to solve for this...
x to 15
You have to multiply both sides of the original ratio by 15...
6 times 15 = 90
10 times 15 = 150
Your new ratio is 90 to 150
Which reduces to 3 to 5
Yout new ratio is 3 to 5
Using the midpoint concept, it is found that the value of a is of a = 2.
<h3>What are the coordinates of the points?</h3>
Researching this problem on a search engine, the coordinates are given as follows:
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the following system of equations can be built:
(b + 1 + 2a)/2 = 3.
b + 1 + 2a = 6.
b = 5 - 2a.
(a + 2 + 3b + 3)/2 = 5
a + 3b + 5 = 10
a + 3b = 5.
Since b = 5 - 2a, we have that:
a + 15 - 6a = 5.
5a = 10
a = 10/5
a = 2.
The value of a is of a = 2.
More can be learned about the mid-point concept at brainly.com/question/10956693
#SPJ1
