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zubka84 [21]
3 years ago
14

The measure of two vertical angles are 45 percent and (4x + 1 ). Find the value of x

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0
Since angles that are vertical to each other are equal to each other, the first thing I did is set 45 equal to 4x+1 which would look something like this: 45=4x+1
Then I solved for x. First, I subtracted 1 from each side to isolate 4x which would get me to 4x=44. Then I divided each side by 4 to isolate x and get me to my answer which would be x=11. 
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The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
topjm [15]
Basic facts of trigonometry

sine, cosine, and tangent will give you the proportion of the sides of a right triangle in relation to an angle

sin x = opposite side/ hypotenuse
cosx= adjacent side/ hypotenuse
tan x= opposite side/ adjacent side

x is our angle
hypothenuse is the longest side of the right triangle

a good way to memorize this is SOH CAH TOA

now since your picture is not given, I will make some assumptions, such as the hypothenuse is the distance from the sun to the moon.

since you want to find the distance from the earth to the sun, and you know the distance from the earth to the moon, this means on a right triangle, you're trying to find the relationship between the adjacent, opposite side, and an angle

which means you will want to use tan x= opposite side/adjacent


now, i cant go any further because the location of the angle is important in the explanation, but short answer,

sin,cos,tan of an angle will give a proportion of the sides. if you know the measurement of a side, you can use this proportion in order to determine the corresponding measurement of the other side
8 0
4 years ago
A train travels 95 kilometers in 4 hours, and then 94 kilometers in 3 hours. What is its average speed?
Brilliant_brown [7]
One way you could do this is by dividing 94 by 3 and then 95 by 4.  This gives you the KPH (Kilometers per hour) of both trains. The first speed you mentioned, we will call that speed 'A.' The second one will be speed 'B.' Speed A's KPH is 23.75 MPH. Speed B's KPH is 31.333. We can change these into fractions (23 3/4 and 31 1/3.) These fractions could then be set into like terms. (This gives us 285/12 and 376/12) We then add these together. This gives us 661/12. The next thing to do is to convert this back to a decimal form, which gives us 55.0833.... Divide this number by two, and that is your answer. The average speed of the train is 29.04 KPH (This number is rounded to the nearest hundreth- be sure to make a note of that on your answer sheet)


5 0
3 years ago
Sam puts 1/5 of his newspaper selling money in savings and uses 1/8 of the remaining money to buy a movie. If he has $14 left. H
Vaselesa [24]

Answer:

$20.

Step-by-step explanation:

Let x be the amount of money he had originally, then:

x - 1/5 x - 1/8(x - 1/5 x)  = 14

x - 1/5x - 1/8x + 1/40x = 14

0.7 x = 14

x = 140/7

x = 20.

8 0
3 years ago
Read 2 more answers
Need help with this question
viva [34]
B is less than four hundred and fourty four thousandths
4 0
3 years ago
Read 2 more answers
Which equation best represents the following situation?
Alex777 [14]

Answer:

I think is 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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