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2 years ago

Help pls!! Which statement is true of the transformation from triangle ABC to triangle A’ B’ C’ ?

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

8 0

Answer:

corresponding

Step-by-step explanation:

corresponding side by a factor 2

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In the figure, GK bisects FGH

bija089 [108]

Answer:

$w = 7$

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

$104 = 2*(7w + 3)$ (substitution)

Divide both sides by 2

$\frac{104}{2} = \frac{2*(7w + 3)}{2}$

$52 = 7w + 3$

Subtract 3 from each side

$52 - 3 = 7w + 3 - 3$

$49 = 7w$

Divide both sides by 7

$\frac{49}{7} = \frac{7w}{7}$

$7 = w$

$w = 7$

8 0

3 years ago

Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.

Lina20 [59]

Answer:

$\theta=\frac{2A}{r^2}$

Step-by-step explanation:

Given : The formula $A=\frac{\theta r^2}{2}$

We have to rearrange the given formula for $\theta$

Consider the given formula $A=\frac{\theta r^2}{2}$

Multiply both side by 2, we have,

$2A={\theta r^2$

Divide both side by $r^2$ , we have,

$\frac{2A}{r^2}= \frac{\theta r^2}{r^2}$

Simplify, we get,

$\frac{2A}{r^2}=\theta$

Thus, $\theta=\frac{2A}{r^2}$

3 0

3 years ago

Read 2 more answers

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

il63 [147K]

Let $x$ be the unknown number. Its square is $x^2$ . The product of 6 and the square of the number is $6x^2$ . Increase this by 5 and you get $6x^2+5$ .

If this has to equal 4, you have $6x^2+5=4$

4 0

2 years ago

Read 2 more answers

A.It will stay the same

DanielleElmas [232]

Answer:

Step-by-step explanation:

Let's arrange the data set in increasing order.

We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.

The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.

Since 33 - 30 = 3 the answer is B.

4 0

3 years ago

On a particular production line,the likelihood that a light bulb is defective is 5%. Ten light bulbs are randomly selected. What

KengaRu [80]

Answer:

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

Step-by-step explanation:

Consider the provided information,

Let X is the number of defective bulbs.

Ten light bulbs are randomly selected.

The likelihood that a light bulb is defective is 5%.

Therefore sample size is = n = 10

Probability of a defective bulb = p = 0.05.

Therefore, q = 1 - p = 1 - 0.05 = 0.95

Mean of binomial random variable: $\mu=np$

Therefore, $\mu=10(0.05)=0.5$

Variance of binomial random variable: $\sigma^2=npq$

Therefore, $\sigma^2=10(0.05)(0.95)=0.475$

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

5 0

2 years ago