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blsea [12.9K]
3 years ago
15

The measure of an angle is four times the measure of a complementary angle. What is the measure of each angle?

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0
Sum of two complementary angles.=90
Let 1 angle be x and other be 4x.
So, x+4x=90
⇒5x=90
⇒x=18
You might be interested in
HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?
tangare [24]

Answer:

y=-(x-7)(x+3)

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

0=a(5)^2+25

Subtract 25 on both sides:

-25=a(5)^2

-25=a(25)

Divide both sides by 25:

\frac{-25}{25}=a

-1=a.

So the equation for the quadratic is:

y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

y=-x^2+4x-4+25

y=-x^2+4x+21

Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

y=-(x-7)(x+3)

8 0
3 years ago
Read 2 more answers
6% of what number is 24
Flura [38]

Answer:

4 i think, sorry if incorrect

Step-by-step explanation:

8 0
3 years ago
What is the degree of this polynomial?<br><br> 4m^8-9m^6+3m^9-6m^7
Klio2033 [76]

Answer:

this is a ninth degree polynomial in m

Step-by-step explanation:

Inspect the polynomial for the highest power of the variable m.  It is m^9.  Thus, this is a ninth degree polynomial in m.

7 0
2 years ago
Find the value of x. Please help. I am confused
Oxana [17]

Answer:

x=30

Step-by-step explanation:

Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle

Thus, 2x+6+36=4x-18

2x+42=4x-18 add 18 to both side

2x+60=4x minus 2x

60=2x

x=30

7 0
3 years ago
QUICK 64 Divded by 8
ch4aika [34]

Answer:

8! 8x8=64 lol

Step-by-step explanation:

Hope this helps, And have a good day!

6 0
3 years ago
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