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4 years ago

Solve for x in the diagram below

Mathematics

2 answers:

Aleksandr [31]4 years ago

8 0

Answer:

x=20

Step-by-step explanation:

You make an equation (4x+100=180) and solve

4x=80---> x=20

DanielleElmas [232]4 years ago

4 0

Answer:

x = 20

Step-by-step explanation:

all of these together will come out to equal 180 degrees. Because it is a straight line. every straight lines is 180 degrees.

x + 3x + 100 = 180

simplify, 4x + 100 = 180

subtract 100 from both sides, 4x = 80

divide both sides by 4, x = 20

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Solve each equation. 1. 25 - 3x = 40 2. } (x – 10) = -4

nordsb [41]

Step-by-step explanation:

For no 1

25 - 3x = 40 

- 3x = 40 - 25 

- 3x = 15 

 - x = 15 / 3

Therefore x = - 5 

Now for no. 2

1/3 ( x - 10) = - 4 

( x - 10 ) = - 12 

x = - 12 + 10

Therefore x = - 2 

Hope it will help :)

6 0

3 years ago

Read 2 more answers

The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

Sphinxa [80]

Answer:

24.2%

Explanation:

The percentage of people choosing strawberry can be calculated as follows:

$Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100$

We have:

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

Substitute in the above rule to get the percentage as follows:

$Percentage = \frac{15}{62}*100 = 24.19 = 24.2$ %

Hope this helps :)

3 0

3 years ago

A carnival tent is set up using a 32-foot pole as the center. The Support wires each have an angle of elevation of 38 degrees fr

BARSIC [14]

Answer:

about 52 feet

Step-by-step explanation:

The figure is omitted--you may draw it to confirm my answer.

sin (38°) = 32/x

x sin (38°) = 32

x = 32 / sin (38°) = about 52 feet

5 0

2 years ago

(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

sdas [7]

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.