Express Four-fifths as a percent.

Math geometry pls help:)<br> Find all missing angles

Naily [24]

Answer:

m<1 = 51 degrees

m<2 = 18 degrees

m<3 = 123 degrees

m<4 = 39 degrees

Step-by-step explanation:

To solve this problem, let's first try to find the measure of angle 1.

To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees. Using this knowledge, we can set up the following equation:

72 + 57 + m<1 = 180

Our first step in solving this equation is to simplify the left side by adding together the two constant terms.

129 + m<1 = 180

Next, we can subtract 129 from both sides of the equation.

m<1 = 51 degrees

Now, we can solve for angle 2.

We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees. From this observation, we can set up the following equation:

m<2 + 72 = 90

To solve, we subtract 72 from both sides of the equation.

m<2 = 18 degrees

Now, we can solve for angle 3.

We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary. This means that their sum should equal 180 degrees, and the two angles together make a straight line. This lets us set up the following equation:

m<3 + 57 = 180

To solve, we subtract 57 from both sides of the equation.

m<3 = 123 degrees

Finally, we can solve for angle 4.

We can solve for angle 4 using the same strategy we used to solve for angle 1. Our equation for angle 4 is as follows:

m<2 + m<3 + m<4 = 180

18 + 123 + m<4 = 180

Let's first simplify the left side of the equation.

141 + m<4 = 180

We can subtract 141 from both sides of the equation as our next step.

m<4 = 39 degrees

Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.

Hope this helps!

8 0

3 years ago

Question

Cerrena [4.2K]

Answer:C(x) = 2000+ 0.05 x

Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

6 0

2 years ago

Write<br> 13/8<br> as a mixed number,

Vlad [161]

Answer:

1 5/8

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone help me plz

viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and $\frac{1}{3}$ .

The volume of a square pyramid, $V = a^{2} \frac{h}{3}.$

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = $\frac{x}{2}$ inches .

The volume of a square pyramid, $V = 972.$

Substituting the known values, we get

$972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .$

$x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.$

So x is 18 inches long.

The side length $= x = 18$ inches.

The height of the pyramid $= \frac{x}{2} = \frac{18}{2} = 9$ inches.

4 0

4 years ago

Consider the expressions below. for each expression below, select the letter that corresponds to the equivalent expression given

Karo-lina-s [1.5K]

The considerations of expressions for each expressions are shown below.

<h3>What is an expression?</h3>

An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
Expressions and phrases are similar in structure.
In English, a phrase may involve action on its own, but it does not constitute a whole sentence.

To consider the expressions:

Part 1:

(x²+15x+65)+(2x-5)*(3x+8)
(x²+15x+65)+(6x²+16x-15x-40)
(7x²+16x+25)

The answer to Part 1 is the letter B,

(7x²+16x+25)

Part 2:

(4x+1)*(3x-4)-(5x²-10x-12)
(4x+1)*(3x-4)-(5x²-10x-12)
(12x²-16x+3x-4)-(5x²-10x-12)
(7x²-3x+8)

The answer to Part 2 is the letter D,

(7x²-3x+8)

Part 3:

(8x²+19x+4)+(3x+2)*(x-5)
(8x²+19x+4)+(3x²-15x+2x-10)
(11x²+6x-6)

The answer to part 3 is the letter A,

(11x²+6x-6)

Part 4:

(6x+1)*(3x-7)-(7x²-34x-20)
(18x²-42x+3x-7)-(7x²-34x-20)
(11x²-5x+13)

The answer to part 4 is the letter C,

(11x²-5x+13)

Therefore, the considerations of expressions for each expression are shown.

Know more about expressions here:

brainly.com/question/24734894

#SPJ4

The complete question is given below:
For each expression below, select the letter that corresponds to the equivalent expression given above.

5 0

2 years ago