MATHEMATICS HIGH SCHOOL

In triangle ABC, angle A measures 33 degrees and angle C measures 122 degrees. What is the measure of angle B?

Answers

Answer 1
Answer:

Answer:

∠ B = 25°

Step-by-step explanation:

the sum of the three angles in a triangle = 180° , that is

∠ A + ∠ B +∠ C = 180° ( substitute values for A and C )

33° + ∠ B + 122° = 180° , that is

155° + ∠ B = 180° ( subtract 155° from both sides )

155° - 155° + ∠ B = 180° - 155° , that is

∠ B = 25°

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You want to produce a scale drawing of your living room, which is 21 ft by 28 ft. If you use a scale of 5 in. = 7 ft, what will be the dimensions of your scale drawing?

Answers

If 5 in represents 7ft, then 21 ft will be represented by (21 * 5) / 7 = 15 in and 28ft will be represented by (28 * 5) / 7 = 20 in.
Hence the dimension of the scale drawing will be 15 in by 20 in.

In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?

Answers

(3,7) \ and \ (4,-8)\n \n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=(-8-7)/(4-3) = (-15)/(1)=-15 \n \nNow \ use \ y = mx + b \ with \ either \ point \ to \ find \ b, \ the \ y-intercept \ : \n \n y=mx+b \n \n7=-15*3+b\n \n7=-45 +b \n \nb=7+45\n \nb=52 \n \n y= - 5x+52 \ is \ the \ answer

Express as a trinomial.



(x−5)(x−2)

Answers

Answer:

x^2 - 7 x + 10

Step-by-step explanation:

use the foil method to multiply the terms.

Also - you can just plug these types of equations into WolframAlpha...

in this case you are looking for "expanded form"

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?15h+9<110

15h+9>110

9h+15<110

9h+15>110

Answers

Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed $15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than $110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.

Answer:

Let h = number of hours she worked on Monday

Given that she makes $9 per hour, it is 9 x h or 9h.

If her tips is a fixed $15 amount, then we simply add 15.

9h + 15

This expression above is the amount she made last Monday.

Since she made no less than $110, meaning she made more than $110 last monday.

The final inequality is: 9h + 15 > 110.

Step-by-step explanation:

During the​ year, FastDry Corporation has $ 340,000 in​ revenues, $ 155,000 in​ expenses, and $ 12,000 in dividend declarations and payments. Net income for the year​ was:

Answers

Answer:

$185,000

Step-by-step explanation:

We have been been given that during the​ year, Fast Dry Corporation has $ 340,000 in​ revenues, $ 155,000 in​ expenses, and $ 12,000 in dividend declarations and payments.

We will use following formula to solve our given problem.

\text{Net income}=\text{Revenues}-\text{Expenses}

\text{Net income}=\$340,000-\$155,000

\text{Net income}=\$185,000

Therefore, the net income for the year was $185,000.

A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?

Answers

The aquarium holds 80 quarts of water.

We have,

In the United States customary system, there are 4 quarts in 1 gallon.

This conversion factor is a constant ratio that allows us to convert between gallons and quarts.

So, when we have 20 gallons of water, we can multiply it by the conversion factor of 4 quarts/gallon to find out how many quarts it is equivalent to:

20 gallons x 4 quarts/gallon = 80 quarts

Therefore,

The aquarium holds 80 quarts of water.

The conversion factor helps us determine the equivalent amount of one unit to another.

Learn more about unitconversion here:

brainly.com/question/13899873

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Let's find out what 1 gallon of water is first.1 gallon is equivalent to 4 quarts.20 gallon is equivalent to 80 quarts.What we do here is to multiply: 20 gallons • 4 quarts = 80 quartsThe answer is 80 quarts.
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