Answer:
m<PQR = 82°
Step-by-step explanation:
In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.
Therefore:
(4x - 27)° = (2x + 7)°
Solve for x
4x - 27 = 2x + 7
Collect like terms
4x - 2x = 27 + 7
2x = 34
Divide both sides by 2
2x/2 = 34/2
x = 17
✔️m<PQR = (4x - 27) + (2x + 7)
Plug in the value of x
m<PQR = (4*17 - 27) + (2*17 + 7)
m<PQR = 41 + 41
m<PQR = 82°
Answer:the 24 for 1.19 is the better deal
Step-by-step explanation:
1. 1.19 ÷24 =4.95
2.2.89÷36=8.5
3. It cost less for 1 can than the 8.5 dollar can.
x = 5
<u>explanation</u>
70 + 23x - 5 + 110 + 14x = 360
first you group the like terms
23x + 14x + 70 - 5 + 110 = 360
then combine the like terms
<u>23x + 14x</u> <u>70 - 5 + 110</u>
37x + 175 = 360
subtract 175 from both sides
175 - 175 = 0 360 - 175 = 185
to get
37x = 185
divide both sides by 37
37x/37 = 0 185/37= 5
which gives you
x = 5
Answer:
<h2>7 inches</h2>
Step-by-step explanation:
see attached photo