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3 years ago

A 63°. b27°. c 17°. d None of the choices are correct.

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Answer:

We know that angle 2 is 63. We also know that 2 and 3 are vertical pairs.

Therefor, they are congruent with one another.

Angle 3 is 63.

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Mackenzie ran the olympic marathon of 26 1/5 miles in a time of 5 4/5 hours. How far did she run in a 1 hour?

padilas [110]

Answer:

Step-by-step explanation:

v=d/t (average velocity equals distance divided by time)

26.2mi/5.8h=4.5mi/h

So Mackenzie runs approximately 4.5 miles in an hour (rounded to nearest tenth of a mile)

8 0

3 years ago

Is (12 + 12)7 × 37 equivalent to (24 × 3)7?

Murrr4er [49]

Answer:

Step-by-step explanation:

(12+12)7 x 37 (24 x 3)7

(24)7 x 37 (72)7

168 x 37 504

6216 is not equal to 504

so NO

Can I plz have brainliest please

6 0

3 years ago

The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find

mamaluj [8]

Answer:

$x = 10$ . In other words, there number of girls is $10$ .

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

$\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}$ .

Rewrite to obtain:

$\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}$ .

For this question:

$\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}$ .

$\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}$ .

Therefore:

$\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}$ .

On the other hand, there are $(15 + x)$ boys and girls in total. Using the formula for average:

$\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}$ .