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asambeis [7]
3 years ago
10

Twice a number is 60 more than 5 times the number. What is the number?

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0
Let n represent the number.

The equation would be: 
2n = 5n + 60 

Subtract 5n from both sides. 
-3n = 60
n = -20

The number is -20.
yuradex [85]3 years ago
5 0
You can put this problem into an equation:

2x=60+5x
Step 1: Subtract 5x form both sides.
-3x=60
Step 2: Divide -3 by both sides.
x=-20

Let's check our work:
2(-20)=60+5(-20)
-40=-40
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2 years ago
Given that<br> 5x:9=8:3<br> Calculate the value of x<br> Give your answer in its simplest form.
lbvjy [14]

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The sine and cosine of one of the acute angles in a right triangle are equal. What is the tangent of the angle?
Gnoma [55]

Answer:

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Step-by-step explanation:

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3 years ago
If arc EF = 151°, find mEDF.
user100 [1]
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.

We can deduct it as well.

1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°

2) Draw a chord from F to D and other chord from D to E.

You have constructed two triangles, FOD and DOE.

3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.

4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.

5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.

This is a + a + b + b + (360 - central angle) = 360°

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(a+b) is the angle that you are looking for.

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3 years ago
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