A triangle has angles described as follows: the first angle is four more than seven times a number, another angle is four less than the first and the third angle is twice as large as the first. what are the sizes of each of the angles?

Answers

Answer 1
Answer:

The measure of the angles is given as 46°, 42°, and 92° respectively.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number be x,
According to the question,
1st angle  = 7x + 4
2nd angle = 1 st angle - 4 = 7x
3rd angle = 2 [1st angle]
              = 2[7x + 4] = 14x + 8

For a triangle, the sum of the angle should be 180°
7x + 4 + 7x + 14x + 8 = 180
28x + 12 = 180
28x = 168
x = 168 / 28
x = 6

Now,
1st angle  = 7[6] + 4 = 46°
2 nd angle = 46 - 4 = 42
3rd angle = 2 × 46 = 92°

Thus, the measure of the angles is given as 46°, 42°, and 92° respectively.

Learn more about models here:
brainly.com/question/22591166
#SPJ2

Answer 2
Answer: 1st angle: 7x+4
2nd: 7x+4-4=7x
3rd: 2(7x+4)
180=7x+4+2(7x+4)+7x
28x+12=180
28x=168
x=6

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Answers

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The volume of a rectangular solid is 180 cubic centimeters. The length is 10 centimeters, and the width is 4 centimeters. Using the formula V= lwh, calculate the height.

Answers

V = 180 cm3
l = 10 cm
w = 4 cm
h = ?

V=lwh, so to get h, divide equation by lw, to get h=V/(lw).

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In algebraic expression would I have an + sign or??

Answers

It would have a plus sign.

Solve 100 divided by 5 x 4 + 4³

Answers

Answer:

100 /( 5 x 4 + 4³) = 1 4/21  

100 / 5 x 4 + 4³ = 144

Step-by-step explanation:

100 /( 5 x 4 + 4³)

PEMDAS tells us to do what is inside the parenthses

We will do the power in side the parentheses first  4^3 = 64

100 /( 5 x 4 + 64)

Now we will multiply

100/(20+64)

Now we add inside the parentheses

100/84

Divide the top and bottom by 4

25/21

Changing from an improper fraction to a mixed number

1 4/21

OR  

100 / 5 x 4 + 4³

If the quantity is not in parentheses

We will do the power  first  4^3 = 64

100 / 5 x 4 + 64

Then we do the multiplication and division from left to right

20 *4+64

80+64

144

Answer:

144

Step-by-step explanation:

4 x 4 x 4 = 64

100/5 = 20

20 x 4= 80

80 + 64 =144

sally draws a triangle with one side.6 inches long and another aise.8 inches long. which is not. possible length for the third side?

Answers

2 inches, 3 inches, 4 inches, 4.5 inches. etc. anything below 5.708661

11 and a half gallons is equal to how many quarts

Answers

There are 4 quarts in one gallon. 
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