Answer:
6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.
7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.
9) x = 20
m < A = 65
m < B = 25
Step-by-step explanation:
9)
3x + 5 + 2x - 15 = 90
3x + 2x + 5 - 15 = 90
5x - 10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
5 / 5x = 100 / 5
x = 20
A = 3x + 5
A = 3(20) + 5
A = 60 + 5
A = 65
B = 2x - 15
B = 2(20) - 15
B = 40 - 15
B = 25
The missing value is 12 in a system of equations with infinitely many solutions conditions.
It is given that in the system of equations there are two equations given:

It is required to find the missing value in the second equation.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have equations:

Let's suppose the missing value is 'Z'
We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.
From equation (1)
(multiply both the sides by 3)
...(3)
By comparing the equation (2) and (3), we get
M = 12
Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.
Learn more about the linear equation.
brainly.com/question/11897796
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
AB = 3 units, AC = 4 units. Using Pythagoras theorem:
BC² = 3² + 4²
BC = 5 units
AE = 6 units, AD = 8 units. Using Pythagoras theorem:
DE² = 6² + 8²
DE = 10 units
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
Find out more on equation at: brainly.com/question/2972832
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No, it will not be able to make a right triangle.
<em><u>Solution:</u></em>
Given that,
Joel wants to fence off a triangular portion of his yard for his chickens.
The length of three peices of fencing are 8 feet , 15 feet and 20 feet
For making it a right triangle it must satisfy the "Pythagorus theorem"
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
For a right angled triangle with sides a, b, c

Given sides are:
a = 8 feet
b = 15 feet
c = 20 feet
Substituting the values in above formula

Since the pythogoras formula is not satisfied, the given sides cannot form a right angled triangle
Thus , No, it will not be able to make a right triangle.
Answer:
Then the answer is option a
a. 0<x
10
Step-by-step explanation:
perimeter + height is less than 130 inches.
If height is 60 inches.then perimeter left is 70 inches.
If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.
perimeter of rectangle is
It has two widths and two lengths because that's what rectangles do.
width of base "x"
Then the length is 2.5x
perimeter = 2 width + 2 length
= 
= 2x + 5x
= 7x
but perimeter can't be more than 70 inches.
So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

7x + 60 ≤ 130
7x ≤ 70
x ≤ 10
Then the answer is option a
a. 0<x≤10