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Vika [28.1K]
3 years ago
8

Please help!!!!!I’ll mark you as brainliest!!!!!

Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of t
Marina86 [1]

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles a and b.

a + b +90 = 180

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

a = 2(b-12)

Now we have two equations. If we simplify them, we get these:

\left \{ {{a=90-b} \atop {a=2b-24}} \right.

Now you can substitute a in the first equation for a in the second equation

90-b=2b-24

Add b to both sides of the equation

90 = 3b-24

Add 24 to both sides

114 = 3b

Divide both sides by 3

38 = b

Now, you can substitute 38 for b in the first equation and simplify.

a = 90-38

a=52

Therefore,

a=52, and b=38

Don't forget to like and make it the brainliest!

3 0
3 years ago
Read 2 more answers
Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n      x=-120+ 360n      x = 0 + 360n  where n is an integer


3 0
4 years ago
2. Solve - Sy + 13y<br> 45 for y.
zimovet [89]
This makes no sense
5 0
3 years ago
My questions are in the picture please help
Marrrta [24]

21.

So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: 2x+14+3x=12 , or A.

22.

So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

4^{(3+4)-9}\\ 4^{7-9}\\ 4^{-2}

Now the rule with converting negative exponents into fractions is x^{-m}=\frac{1}{x^m} . In this case, 4^-2 would turn into \frac{1}{4^2} , or C, which is your final answer.

6 0
3 years ago
Please help I do not get it
CaHeK987 [17]

Answer:

Top Right is the graph that shows Infinitely many solutions

8 0
3 years ago
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