Two angles are supplementary. The measure of the first angle is 10 degrees more than three times the second angle. Find the measure of each angle

Answers

Answer 1
Answer:

Answer:

137.5° and 42.5°

Step-by-step explanation:

supplementary angles are two angles whose sum is equal to 180°.

Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3(x)+10°.

we know that the sum of first and second angles is 180° (supplementary angles)

so, (3(x)+10°)+(x) = 180°

                   4(x) = 170°

                       x = 170°/4 = 42.5°

so, first angle is 3(42.5°)+10° = 137.5°, second angle is x that is 42.5°

therefore, the angles are 137.5° and 42.5°.

Answer 2
Answer:

Answer:

THE OTHER ONE IS WRONG!!!

Expert verified FOX DUNG!

Step-by-step explanation:


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A number increased by 4 is the same as 19 minus 2 times the number

Answers

Here :

x+4=19-2x
x+2x=19-4
3x=15/3
x=5
So it says A NUMBER We don't know what number SO we are gonna add any variable you want.
LET SAYS m = NUMBER INCREASED
is means equal
m+4= 19-2m

m+2m=19-4
3m=19-4
3m=15
3÷3m=15÷3                  3and 3 cancel each other and 15÷3 is 5
m=5
Answer is 5


Team one had twice as many workers as team two. The number of workers in team one is reduced by 5 and the number of workers in team two is reduced by 2. How many workers are there in each team now if there are 7 more workers in team one?

Answers

The Team 1 now has  15 members and Team 2 now has 8 members.

We have given that team one had twice as many workers as team two.

Let us consider,x workers in team one initially

y workers in team two initially.

we know that

x=2y.... 1

Now next

(x-5)=(y-2)+7\n x-5= y+5\nx=y+10.........2

We have to solve this equation by using substitution method

What is the substitution method for linear equation?

The substitution method functions by substituting the one y-value with the other.

Use the value of 1 in equation 2 we get

2y=y+10\n 2y-y=10y=10x=2*10\n x=20

Therefore we have,

Team 1 now has 20-5 = 15 members

Team 2 now has 10-2 = 8 members

To learn more about the linear equation visit:

brainly.com/question/14323743

let

x-------> workers in team one initially

y-------> workers in team two initially

we know that

x=2y-----> equation 1

(x-5)=(y-2)+7-----> x-5= y+5----> x=y+10---------> equation 2

equate equation 1 and equation 2

2y=y+10-----> y=10

x=2*10------> x=20

Team 1 now has 20-5 = 15 members 
Team 2 now hase 10-2 = 8 members


Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?

Answers

20 apples

1/5=0.2

0.2×20=4

Answer:

40

Step-by-step explanation:

Got it on edge

Your model locomotive is 18 inches long. It is an exact model of a locomotive that is 72 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Answer: 4

Step-by-step explanation:

Given: The length of a model locomotive = 18 inches

The length of a exact locomotive = 72 inches

The scale factor to scale the model of the locomotive is given by the ratio of the length of the locomotive to the length of the model.

let k be the scale factor, then

k=(72)/(18)=4

Hence, the dimensions of the locomotive model is 4 times the dimensions of the model.

Therefore, the locomotive is 4 times wider than a window on the model.

72feet=72*12inches=864inches

ratio:

18:864

or:

1:48

so window is 48 times wider normaly than in this model

What is the volume of the cylinder below?15
12
A. 2160 units 3
B. 56072 units3
C. 1080 units 3
D. 360 units 3

Answers

The volume of cylinder is 2160 units^(3).

What is volume?

Volume is the measure of the capacity that an object holds.

What is the formula for the volume of cylinder?

The formula for the volume of cylinder is

v = \pi r^(2)h

Where,

V is the volume of cylinder.

r is the radius of cylinder.

h is the height of cylinder.

π = 3.14

According to the given question

Height of the cylinder, h = 15 units

Radius of the cylinder, r = 12 units

Therefore, the volume of the cylinder is given by

v = \pi (12)^(2)(15)

v = π × 144 × 15

V = 2160π units^(3)

Hence, the volume of cylinder is 2160 units^(3).

Learn more about the volume of cylinder here:

brainly.com/question/16134180

#SPJ2

hello,

here is your answer:

**********

volume of cylinder = \pir²h

radius = 12 units

height = 15 units

volume = r² × h × \pi

= 12² × 15 × \pi

= 144 × 15 × \pi

= 2160 × \pi

ans = A. 2160\pi units³

**********

hope this helped,

:)

What is half of $5.98

Answers

$2.99 is half of $5.98.

To get this, divide 5.98 by 2.

5.98/2=2.99
2.99 is your answer to get that all you do is divide 2 by 5.98