Answer:
Step-by-step explanation:
14) 2x - 10 = 80 {alternate interior angles are equal}
2x = 80 + 10
2x = 90
x = 90/2
x = 45°
15) 3x + 120 = 180 { co interior angles are supplementary}
3x = 180 - 120
3x = 60
x = 60/3
x = 20°
16) 3x + 15 = 135 {corresponding angles are equal}
3x = 165 - 15
3x = 150
x = 150/3
x = 50°
Answer:
There were a total of 72 Easter eggs.
Step-by-step explanation:
Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:
Ally: 0.25X
Brett: 0.125X
Read: 0.125X + 6
Jen: 0.0625X + 3
Smooth: 0.1875X + 9
X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25
0.25X = 6 + 3 + 9
0.25X = 18
Ally: 18
Brett: 9
Read: 15
Jen: 7.5
Smooth: 22.5
18 + 9 + 15 + 7.5 + 22.5 = X
72 = X
Thus, there were a total of 72 Easter eggs.
Reliable taxis : for 30 miles
C = 1.5x....x = 30
C = 1.5(30)
C = 45
speedy taxis : for 30 miles
C = 1.1x + 11.5....x = 30
C = 1.1(30) + 11.5
C = 33 + 11.5
C = 44.5
city taxis : for 30 miles
C = 1.25x + 8...x = 30
C = 1.25(30) + 8
C = 37.5 + 8
C = 45.5
the cheapest company is : speedy taxis
Cost of the toothbrush and the toothpaste together = $1.10
Let us assume the cost of the toothpaste = x
Then
The cost of the toothbrush is = (x + 1) dollar
Then we can write the equation as
x + x+ 1 = 1.10
2x + 1 = 1.10
2x = 1.10 - 1
2x = 0.10
x = 0.10/2
= .05 dollars
So the cost of the toothpaste is 0.05 dollars.<span>I hope
the procedure is clear to you.</span>
