All categories

3 years ago

Translate the scenario below to a linear equation, then solve.

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer: x + 2x + x-40 = 180

First angle= 55º

Second angle= 110º

Third angle= 15º

Step-by-step explanation: The sum of the angles of a triangle is 180º

Take the values given and use x as the unknown first angle. then create terms for the other two angles based on that:

The second angle of a triangle is double the first angle becomes 2x

The third angle is 40 less than the first angle becomes x-40

x + 2x + x-40 = 180 Solve by adding like terms . x + 2x + x = 4x

4x -40 = 180 Add 40 to both sides to "cancel" the -40 on the left

4x + 40 -40 = 180 + 40 becomes

4x = 220 Divide both sides by 4 to "cancel" the 4 on the left side

4x/4 = 220/4

x = 55 This is the first angle. Substitute 55 for the "x" in the original terms

2(55) = 110 The second angle

(55) -40 = 15 the third angle

You might be interested in

The members of a basketball team need to

dsp73

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged. ($544 / 34 = $16)

3 0

3 years ago

A certain manufacturing procedure produces items that have a mean weight of 55 pounds and a standard deviation of 3.2 pounds. Wi

Mama L [17]

Answer:

99,7 %

Step-by-step explanation:

P [ 45,4 < X < 64,6 ] ???

P [ 45,4 < X < 64,6 ]

for X = 45,4

z₁ = ( X - μ₀ ) / σ

z₁ = 45,4 - 55 / 3,2

z₁ = - 9,6 / 3,2

z₁ = - 3

And fom z-table we find P [ X = 45,4 ] = 0,0013 or 0,13 %

z₂ = ( 64,6 - 55 )/ 3,2

z₂ = 3

And from z-table we find P [ X = 64,6 ] = 0,9987 or 99,87 %

Then

P [ 45,4 < X < 64,6 ] = 99,87 - 0,13 = 0,9974 or 99,74 %

Now if we look at the values:

μ₀ - 3*σ and μ₀ + 3*σ

we find 55 - 3*3,2 = 55 - 9,6 = 45,4 and 55 + 9,6 = 64,6

We know according to the empirical rule that values from μ₀ ± 3*σ will contains 99,7 % of all values

4 0

3 years ago

Select each graph that shows a function and it’s inverse

Citrus2011 [14]

<u>Answer:</u>

Second option

<u>Explanation:</u>

The inverse of a graph is its reflection on the line y = x.

This means it is the graph that you get by reflecting the original graph on a line with the equation y = x.

In the picture below, you can see a function (red graph), its inverse (blue graph) and the line (green) that the two graphs are reflected on.

6 0

2 years ago

Sketch the graph of each function

Vesna [10]

Answer:

See diagram

Step-by-step explanation:

Start with parent function $y=sinx.$ The period of parent function is $2\pi.$

Consider function $y=\sin(2x-2).$ You can rewrite it as $y=\sin 2(x-1).$ The period of this function is $\dfrac{2\pi}{2}=\pi.$

This gives you that the graph of the function $y=\sin(2x-2)$ is twice compressed and translated 1 unit to the right graph of the parent function.

8 0

3 years ago

Read 2 more answers

9 divided by what equals 18?

Vikentia [17]

Answer:

0.5

planation:

9/18 = 0.5

If you write the problem out x will represent the missing number

9 ÷ x = 18

You can write it as 9 ÷ 18

which is 0.5

The problem is asking what is 9 divided by to get 18

4 0

3 years ago

Read 2 more answers