Answer:
140° and 50°
Step-by-step explanation:
The supplement of the angle (180 - x)
The complement of the angle = (90 - x)
(180 -x) = 4(90-x) - 60
180 - x = 360 -4x - 60
180 -x = 300 - 4x
180 - x + 4x = 300
180 + 3x = 300
3x = 120
x = 40
The supplement (180 - x) = 180 - 40 = 140°
The complement (90 - x) = 90 - 40 = 50°
To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.
12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3
There are 6 possibilities.

= 21
First, simplify

to

/ Your problem should look like:

= 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k =
Fourth, simplify

to

/ Your problem should look like: k =
Fifth, simplify

to 24. / Your problem should look like: k = -24
Answer:
k = -24
1.
no, there will never be a negative y-value. <span>y= |x| will always be nonnegative. |x| can be distance x is from 0 and a distance can never be negative.
</span>2.
you can define it as
y = |x| = x if x ≥ 0, -x if x < 0
absolute value can be
interpreted as a function that does not allow negative real numbers,
forcing them to be positive (leaving 0 alone). if the input x is more
than or equal 0, then x stays positive so there is no need to do
anything: "x if x ≥ 0".
if the input is less than 0, then it is an
negative number and needs a negative coefficient to negate the negative:
"-x if x < 0"
example: if x = -3, then it will take the "-x if x < 0" piece resulting in y = -(-3) = 3, which is what |-3| does
if x = 1, it will take the "x if x ≥ 0" piece and just have y = 1 which is what |1| does.
for x = 0, it will take the "x if x ≥ 0" and just have y = 0 which is what |0| does
Answer:
1. 
2. <u>Given</u>
3.
4. <u>Side-Side-Side (SSS) rule of congruency</u>
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1.
≅
Given
2.
≅
<u>Given</u>
3.
≅
Reflexive property
4. ΔRST ≅ ΔTUR
<u>SSS rule of congruency</u>
The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.