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3 years ago

7

Show that vertical opposite angles are equal

1 answer:

pashok25 [27]3 years ago

4 0

Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.

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A $250 suede jacket is on sale for 20%off how much should you pay for the jacket

yarga [219]

250 * 0.20 = $50 sale
250 - 50 = $200
You will pay $200 after sale

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2 years ago

Read 2 more answers

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of first time customers
p is the proportion of first time customers based on historical data

N is the sample size

For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

z(0.5)= $\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0

3 years ago

A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same?

Anna [14]

Answer:

300 miles

Step-by-step explanation:

i am doing the same test right now

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3 years ago

In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many gra

dezoksy [38]

Answer:

let's see what to do buddy...

Step-by-step explanation:

$\frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17}$

Multiply the sides of the equation by 799

$zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141$

So A jar of the chemical contains 141 grams of <em><u>zinc</u></em>.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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3 years ago

Find the distance between the points -18 and -42. Show your work for full credit. (2 points.)

Masja [62]

Answer:

-24

Step-by-step explanation:

Easy way: 42 - 18 = 24, then translate it to negative 24 because your numbers are negative.

A little bit harder way: -42 + (-18) or -42 + 18 = -24

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3 years ago