The ratio of adults to children is 7:3 and 370 people attend .How many are children?

Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.

Elodia [21]

N 19)
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22)
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23)
angle (-1+14x) is equal to angle (12x+17)----> by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24)
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------> x=-6°
the angle indicated in bold is (-6+96)=90°

N 26)
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°

6 0

3 years ago

Got this one wrong need help

elixir [45]

Each angle on a triangle pertains to the opposite side

so let’s start by solving the equations:
6 + 4 = 10
2(6) - 3 = 9
3(6) - 10 = 8

then order then look at what each of the sides is opposite to:

10 = A
9 = B
8 = C

so from smallest to largest the angles are C, B, A

6 0

2 years ago

Find each percent decrease round to the nearest percent from 145 pounds to 132 pounds

BabaBlast [244]

9% decrease because 145-132=13
13=9% of 145

7 0

3 years ago

Read 2 more answers

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)

3 0

3 years ago

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (5, 2), (3, 3)

Strike441 [17]

Answer:

-0.5

Step-by-step explanation:

slope=rise/run or y/x in other words(y2-y1/x2-x1)
(y2-y1) is 3-2 so y2-y1=1
(x2-x1) is 3-5 so x2-x1= -2
-1/2 or -0.5 would be the slope.

8 0

2 years ago

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