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Ulleksa [173]
2 years ago
8

How do I solve this?

Mathematics
1 answer:
grigory [225]2 years ago
6 0

Answer:

  x° = 54.5°

Step-by-step explanation:

The measure of angle x is half the difference of the intercepted arcs. The larger arc is shown as 141°. The smaller one must be computed from the arcs shown:

  360° -187° -141° = 32°

So, the measure of x° is ...

  x° = (141° -32°)/2

  x° = 54.5°

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Evaluate the following expression:<br>7× + 5y​
irina [24]

Answer:

I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.

Step-by-step explanation:

the answer remains the same because the question has no like terms so no further calculations can be made.

5 0
2 years ago
In order to select new board members, the French club held an election. 80% of the 85 members of the club voted. How many member
shutvik [7]

Answer:

68 members

Step-by-step explanation:

80% of 85 =

10% = 8.5

8.5 x 8 = 68.

Hope this helps

6 0
2 years ago
2.What is the value of x? Enter your answer, as a decimal, in the box.
Maurinko [17]
I am going to assign the first image to problem 2, the second image to problem 3, and the third image to problem 4 and solve for x in each image. Basically, all of these problems can be solved used the law of sines which is as follows:

a/sinA = b/sinB = c/sinC

This states that the length of a side, divided by the sine of the opposite angle, is the same for every side in a triangle.

2.) We must solve for side x in the smaller triangle. We know two sides of the large triangle, and one side of the smaller triangle. The two parallel lines tell us that angle A = angle N and angle B = angle P. The side of the smaller triangle that we do know is, 67.2 - 32 = 35.2 m. Now we can plug values into the law of sines.

35.2/sinB = x/sinA
sinA = (x/35.2)sinB

81.9/sinB = 67.2/sinA
sinA = (67.2/81.9)sinB

We can now equate both sinA equations and solve for x.

(x/35.2)sinB = (67.2/81.9)sinB
x/35.2 = 67.2/81.9
x = (35.2)(67.2/81.9)
x = 42.9 m

3.) We will make the assumption that the angle divided by the line inside the triangle is split in equal halves, therefore, both angles are the same. The angles at point D are angle D and and 180-D. It turns out that sinD = sin(180-D). If you do not believe this principle, test it out in a calculator. This will simplify our problems. We can simply use the law of sines once more.

(x+4)/sinE = 44.8/sinD
sinE = ((x+4)/44.8)sinD

35/sinE = 56/sinD
sinE = (35/56)sinD

((x+4)/44.8)sinD = (35/56)sinD
(x+4)/44.8 = 35/56
x+4 = (35/56)(44.8)
x = (35/56)(44.8) - 4
x = 24 m

4.) This problem is very similar to problem two, containing a parallel line that results in angles on the same side of the parallel line being equivalent.

45/sinθ = (13+2x)/sinθₓ
sinθ = (45/(13+2x))sinθₓ

5/sinθ = 3/sinθₓ
sinθ = (5/3)sinθₓ

(5/3)sinθₓ = ((45/(13+2x))sinθₓ
5/3 = 45/(13+2x)
13+2x = 27
2x = 14
x = 7m

5.) The area of a triangle is found using the formula, A = (1/2)b·h. We are already given the area of the triangle and the height of the triangle. The base of this triangle IS the hypotenuse, so solving for the base will answer this question.

A = (1/2)(b)(15) = 270
b = (270)(2/15)
b = 36 m
4 0
3 years ago
Donna earns $13 each hour working part time at a bookstore she earns one additional dollar for each book that she sells. Let A b
kvasek [131]

Answer:

A = 13 + B

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • Donna earns $13 each hour working
  • She earns one additional dollar for each book that she sells.
  • A= amount of dollars she earns in an hour
  • B = quantity of books sold in an hour

Mathematically speaking:

A = 13 + B.1

A = 13 + B

( Graph is attached down below)

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

4 0
3 years ago
Determine whether the following statement is true or false. ​Generally, the goal of an experiment is to determine the effect tha
Zepler [3.9K]

Answer: Ok, there are two types of variables, the independent and the dependents.

a dependent variable is one that changes in response to the independent variable.

In an experiment, yo usually have control over the independent variable, it may be the temperature on an oven, the intensity of an x-ray cannon, the time you let something heat under the sun, etc.

and the dependent variable will response to the independent variables in some way, so if you can observe how it changes you can understand te relationship between them, that is the goal of the experiment.

So it's true, yo want to know how the response variable "responds" to the treatment you apply.

3 0
3 years ago
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