#1 30
#2 150
#3 110
#4 60
#5 2x+50+3x=180
combine like terms
5x+50=180
subtract 50 from both sides
5x=130
divide both sides by 5 to isolate the variable
x=26
#5 3x=3(26)=78
#6 2x+50=2(26)+50=102
#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD
#8 AGE and FHD, CHF and EGB
Answer:a)
a) 68%
b) 44%
Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100
= 17/25 × 100
= 68%
If you would like to know which one of the options is better to buy, you can calculate this using the following steps:
3 sandwiches ... $4.95
1 sandwich ... $x = ?
______________________
3 * x = 1 * 4.95 /3
x = 4.95 / 3 = $1.65
4 sandwiches ... $6.72
1 sandwich ... $y = ?
______________________
4 * y = 1 * 6.72 /4
y = 6.72 / 4 = $1.68
Result: You should buy sandwiches from the first option ($1.65 < $1.68 per unit).
Answer:
Step-by-step explanation:
If MQ also bisects angle ∠LMP, then;
<LMQ + <QMP = <LMP
Also <LMQ = <QMP
The equation becomes <QMP + <QMP = <LMP
2<QMP = <LMP
Let <LMP be 8x+40° (This is an assumed value)
2(5x+10) = 8x+40
Open the parenthesis
10x+20 = 8x+40
10x-8x = 40-20
2x = 20
x = 20/2
x = 10
Find <QMP
Since <QMP = 5x+10
<QMP = 5(10)+10
<QMP = 50+10
<QMP = 60 degrees
<em>Note that the angle <LMP was assumed. Any other function can be used depending on the question</em>
