All categories

3 years ago

Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?

Mathematics

1 answer:

Mrac [35]3 years ago

6 0

Answer:

x=12

Step-by-step explanation:

Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.

You might be interested in

hank has a triangular rug in his bedroom. the perimeter of the rug is 14 feet . two of the side lengths are 6 feet . what is the

Mariana [72]

Answer:

The 3rd side of the rug is 2 ft long

Step-by-step explanation:

6+6=12

14-12=2

2 ft long

4 0

3 years ago

Help from anyone please

Olegator [25]

Find the pattern. 184-164 gets you 20. so 84 - 20 is your answer

6 0

3 years ago

How many cans of paint does it take to paint the washington monument

Verizon [17]

How much paint can that can hold

5 0

3 years ago

Find the roots of:

Elena-2011 [213]

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

| 2 -7 8 -3

1 | 2 -5 3

| 2 -5 3 0

1 | 2 -3

2 -3 0

So the factorization is (x-1)² (2x-3)=0. So:

$\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

| 1 -1 0 -4

2 | 2 2

1 2 2 0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

$\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

| 6 7 9 2

-2 | -12 10 -2

6 -5 1 0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

$\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}$

$\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}$

6 0

2 years ago

Answer the question please which of the following shows numbers in order from least to greatest

antiseptic1488 [7]

Answer:

I think it's b I'm not sure I'm sorry if it's wrong

3 0

2 years ago