Answer:
The valid value of x is x=-2
Step-by-step explanation:
we know that
The sum of the interior angles of any quadrilateral must be equal to 360 degrees
so

solve for x
Combine like terms


Divide by 10 both sides

The formula to solve a quadratic equation of the form
is equal to

in this problem we have

so

substitute in the formula





Remember that
The measure of the interior angle cannot be a negative number
For x=9
we have that the measure of one interior angle of quadrilateral is

substitute the value of x

therefore
The value of x=9 cannot be a solution
For x=-2
The measure of the interior angles are

therefore
The valid value of x is x=-2
Option c. The range of window for the data is given as 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20
<h3>How to solve for the range of the data</h3>
We have the equation to be
y = −3x + 17,
and y = 5x - 23
We have to make the two equations to be equal
This would then give us
−3x + 17 = 5x - 23
The next step is to take the like terms
3x - 5x = -23-17
-2x = -40
From you we have to divide by -2
x = 20
The range would be written as
0 ≤ x ≤ 20, 0 ≤ y ≤ 20
Read more on slopes and intercepts here
brainly.com/question/1884491
#SPJ1
Color in all but 1 column. (Going up and down) the colored in part is the answer.
Answer:
x = 1
Step-by-step explanation:
the triangles are the same,
7 = 3x + 4
7 - 4 = 3x
3 = 3x
x = 1
hope this helps, please mark it brainliest
Answer:
^algebra^
#1). a - b=4
a=4 + b .....(equation 1)
#2) a + b=12
(4 + b) + b= 12
4 + b + b=12
4 + 2b=12
2b= 12 - 4
2b =8
b= 8:2
b=4
subtituted b in equation 1
a= 4 + b
a= 4 + 4
a=8
so, the number is 8 and 4