The ratio of the measurement of an angle to its complement is 1:2. Find the measurement of the angle and its complement.

Answers

Answer 1
Answer:

Answer: 30 and 60

Step-by-step explanation: When the ratio of two angles is 1:2, we can represent the angles as X and 2x.

X → angle

2x → complement

If we know that an angle and its complement add up to 90°, we can set up an equation to represent this.

X + 2x = 90

We can simplify on the left side of the equation.

3x = 90

÷3    ÷3   ← divide both sides by 3

X = 30

Now to find the measure of each angle, we plug in 30 for x.

X → angle = 30°

2x → complement = 60°

Therefore, the measure of the angle is 30° and its complement is 60°.

Answer 2
Answer: We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary

So we can write the equation

x+2x=90
3x=90
x=30

So the first angle measure is 30

Since they are in the ratio 1:2, the second angle is twice 30 so 60

Hope this helps

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HELP ME WITH THIS PLZZZZ​
How much is 96.25 in a fraction

Which of the following is the greatest common factor of the terms 48s5t3u2 and 40s3tu4?a. 6s2t2u
b. 6s3tu
c. 8s2t2u
d. 8s3tu2

Answers

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

48s^5t^3u^2\ and\ 40s^3tu^4

We need to find the greatest common factor of the above terms:

48s^5t^3u^2=2* 2* 2* 2* 3* s^5* t^3* u^2\n\nAnd,\n\n40s^3tu^4=2* 2* 2* s^5* t* u^4\n\nGreatest\ common\ factor=2^3* s^3* t* u^2=8s^3tu^2

Hence, Option 'd' is correct.

48s^5t^3u^2  = 8s^3tu^2  *  6s^2t^2

 40s^3tu^4 = 8s^3tu^2  * 5u^2

Answer: D:  8 s^3 t u^2





If 2 triangles are similar, which of the following conclusions can you make?

Answers

is there an image i can look at

How do you divide 15 pounds of rice into 4 unequal measuring using ounces

Answers

you have to cut 15 pounds into 3.75 four times

What number should be added to both sides of the equation to complete the square?x2 + 12x = 11

Answers

given:
x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36.

Answer:

36.

Step-by-step explanation:

We have been given an equation x^2+12x=11 and we are asked to find the number that should be added to both sides of the equation to complete the square.

To complete the square we divide the constant with x term by two and add the square of that number to both sides of equation to complete the square.

((b)/(2))^2

We can see that constant of x term is 12, so let us divide 12 by 2.

(12^2)/(2^2)

(144)/(4)

36

Therefore, we should add 36 to both sides of our equation to complete the square.

After adding 36 to both sides of our equation we will get,

x^2+12x+36=11+36

x^2+12x+6^2=47

(x+6)^2=47

Solve each problem by using the quadratic formula. Write solutions in simplest radical form. 2x2 – 2x – 1 = 0

Answers

When you have a quadratic in the form ax² + bx + c = 0, you can solve for x using the quadratic formula, which is as follows:
x=(-b\pm√(b^2-4ac))/(2a)
In this case, a = 2, b = -2, and c = -1. Let's plug these in.
x=\frac{-(-2)\pm√((-2)^2-4(2)(-1)){2(2)}
Simplify...
x=\frac{2\pmsqrt{4+8}}4

x=\frac{2\pmsqrt{12}}4

√(12)=√(2*2*3)=2√(3)

x=\frac{2\pm2√(3)}4

x=\frac{1\pm√(3)}2

\boxed{x=\frac{1+√(3)}2\ or\ \frac{1-√(3)}2}
2x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(2)(-1))
                     2(2)
x = 2 ± √(4 + 8)
              4
x = 2 ± √(12)
            4
x = 2 ± 2√(3)
            4
x = 1 ± √(3)
           2
x = 1 + √(3)    U    x = 1 - √(3)
           2                          2

When I double my number add four and divide by two

Answers


You will get a number that's 2 more than the number you started with.

you will get a number that's 2 more than u started with