Answer: 45
Explanation: two angles that form a Line always equal 180 degrees, so we start with the equation 180-u+47, which is the measure of the missing interior angle measure. All of the angles inside of a triangle also equal 180 degrees, so we can set up this equation to find U:
u-18+u+(180-u+47)=180
We can start to simplify by first simplifying what’s inside the parenthesis:
u-18+u+153-u=180
Then you solve the equation to get
U=45 degrees
Answer:
<u>C) −2x − 2y + 17</u>
Step-by-step explanation (PEMDAS):
First, we do <u>3 (y + 5)</u> because of the parenthesis:
6x − 5y + 2 − 8x + 3y + 15
Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right
6x − 5y + 2 − 8x + 3y + 15
<u>−2x</u> − 5y + 2 + 3y + 15
−2x <u>− 2y</u> + 2 + 15
<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>
The coin wouldn't be fair, because it landed on heads 72/100 times. If the coin was fair, the results should be equivalent to 1/2.
Answer:
x = 29
Step-by-step explanation:
If the equation is :
4.2(9-x)+36=102-2.5(2x+2)
→distribute 4.2 and -2.5 in parenthesis
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
→ have terms with x = terms without x
Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
- 4.2x +5 x = - 37.8 - 36 + 102 - 5
→ Combine like terms
0.8x = 23.2
→ Divide both sides by 0.8
x = 29
Answer:
r = - 
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r = 
← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 = 
( multiply both sides by - 6 )
12 = k, thus
r = 
← equation of variation
when t = - 7, then
r = 
= -
