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2 years ago

ZA and B are supplementary and vertical angles. What is m<B

Mathematics

1 answer:

Marat540 [252]2 years ago

6 0

<h3>Answer: 90</h3>

Reason:

Vertical angles are equal to each other. Call them x. They must add to 180 degrees because they are supplementary (they are able to form a straight line).

x+x = 180

2x = 180

x = 180/2

x = 90

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Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d

Scrat [10]

The total purchase price is $ 357.75

Solution:

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

She receives a 25% discount for being a preferred customer

Therefore, discount = 25 % of cost price

$discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5$

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

Then pays 6% sales tax on the discounted purchase price

Sales tax = 6 % of 337.5

$sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25$

Thus, total purchase price is given as:

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

4 0

3 years ago

Mr. Williams can grade 50 essays in 7 hours. His assistant, Mr. Wilfred, can do the same job in 14 hours. His other assistant, M

Elza [17]

Answer:

13.44 or 13 11/25 hours

Step-by-step explanation:

First use this format: number of essays/hours

- they are asking if all three work together, how many hours would it take, so this means addition:

50/7 + 50/14 + 25/6 = 200/x

Second, solve:

- least common multiple: 42

300/42 + 150/42 + 175/6 = 200/x

625/42 = 200/x

- cross-multiply

625x = 8,400

x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)

5 0

3 years ago

Select the diagram showing a pair of alternate interior angles:

Nat2105 [25]

The orange one is an example of alternate interior angles.

4 0

2 years ago

at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

katen-ka-za [31]

Answer: Fraction of twins = $\frac{5}{8}$ Fractions of triplets = $\frac{1}{4}$ Fractions of quadruplets = $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

$5+2+1=8$

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

$\frac{5}{8}$

Fractions of triplets is given by

$\frac{2}{8}=\frac{1}{4}$

Fractions of quadruplets is given by

$\frac{1}{8}$

3 0

3 years ago

A train has 6 passenger cars and each car has 4 columns of seats and each column holds 50 passengers. If one of the cars has 25

Tema [17]

Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers

So, total of seats will be = 6 * 4 * 50 = 1200

Now, there are 25 empty seats,

therefore the correct equation will be :

Number of seats per car: 4 × 50 = 200

Total number of seats: 200 × 6 = 1,200

Number of passengers: 1,200 − 25 = p

6 0

3 years ago