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2 years ago

Identify the reason that justifies each statement.

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

4 0

Answer:

Vertical angles

Step-by-step explanation:

The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.

Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.

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Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75,

Aneli [31]

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

$m \to$ With water

$n \to$ With Soda

So:

$m + n =10$ --- total

$5m + 6.75n = 62.25$ -- cost

Required

Find m and n

$m + n =10$

Make m the subject

$m = 10 - n$

Substitute $m = 10 - n$ in $5m + 6.75n = 62.25$

$5(10-n) +6.75n = 62.25$

$50-5n +6.75n = 62.25$

Collect like terms

$-5n +6.75n = 62.25 - 50$

$-5n +6.75n = 12.25$

$1.75n = 12.25$

Solve for n

$n = 12.25/1.75$

$n = 7$

$m = 10 - n$

$m = 10 - 7$

$m =3$

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2 years ago

Lucia and Marcus are playing a board game. They roll 2 dice (number cubes) to see who goes first. The person who rolls the highe

yaroslaw [1]

Ans

Step-by-step explanation:

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3 years ago

The sum of x and 8 is less than 72

Vanyuwa [196]

Answer:

x<84

Step-by-step explanation:

First, write an inequality. We know it is not an equation because of the words "less than". Also, x and 8 are being added because of the word "and". Here's the inequality: x+8 < 72. Now, subtract 8 on both sides so x is isolated. Our simplified inequality looks like this: x < 84.

4 0

2 years ago

8. The graph of a horizontal line is a function. True False

11111nata11111 [884]

Answer:

It is not due to the fact it has no variable

7 0

3 years ago

Suppose that the pages per book in a library are normally distributed with an unknown mean and standard deviation. The book leng

Elanso [62]

Answer:

A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of 0.99( $t_{99}$ ). So we have T = 2.0244.

A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean

6 0

2 years ago