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3 years ago

14

Angle XYZ is bisected by line YW the measure of angle XYW is 52 what is the measurement of angle WYZ what is the measurement of

angle XYZ

1 answer:

Aliun [14]3 years ago

7 0

Answer:

Step-by-step explanation:

2(2x+7) = 6x-8

4x + 14 = 6x - 8

2x = 22

x = 11

m<XYZ = 58

m<XYW = 29

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I am thinking of a number. When I double my number and then subtract the result from five, I get negative one. What is my number

pogonyaev

Answer:

3

Step-by-step explanation:

To turn the word problem into an equation, when we read:

"I am thinking of a number" we write "x"

"when I double my number" we write "2x"

"and then subtract the result from 5" we write "5 - 2x"

"I get negative one" we write "-1 = 5 - 2x"

Now we solve for the number, which is x.

<em>Equation: </em>-1 = 5 - 2x

-1 = 5 - 2x

subtract 5 from both sides

-6 = -2x

divide both sides by -2

3 = x

<h3>There we go! The number is </h3><h2>3</h2>

6 0

2 years ago

Read 2 more answers

Zepler [3.9K]

Answer:

Option B. 0.75 gallons is the right answer.

Step-by-step explanation:

Let the load of dishwasher used in house A = x gallons

Let the load of dishwasher used in house B is = y gallons

and similarly we assume for house C = z gallons

Now from the given question

On Friday amount of water used in all three houses = 17.5 gallons

From the table we will make the equation

x + 2y + 2z = 17.5-----(1)

For Saturday

2x + 3y + 4z = 31.5 ----(2)

For Sunday

2x + 2y + 3z = 24.75 -----(3)

By subtracting equation 3 from 2

y + z = 31.5 - 24.75 = 6.75 ------(4)

Equation (1) multiplied by 2 - equation (2)

2×(x + 2y + 2z) - (2x + 3y + 4z) = 17.5×2 - 31.5

y = 35 - 31.5 = 3.5

By putting y = 3.5 in the equation (4)

z = 6.75 - 3.5 = 3.25

By putting y = 3.5 and z = 3.25 in the equation (1)

x + 7 + 6.5 = 17.5

x = 17.5 - 13.5 = 4

Now the difference between load of dishwasher that uses least water and the most.

x - z = 4 - 3.25 = 0.75 gallons

Option B is the right answer.

6 0

3 years ago

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if

lesya692 [45]

18 feet = 18/3 yard = 6 yard
6 inches = 1/2 feet = 1/6 yard

Volumen = (6yar)(6yard)(1/6yard) = 6 cubic yard

Cost = 6 cubic yard * $42.00 / cubic yard = $ 252.00

Answer: the first option, 252.00

7 0

3 years ago

Read 2 more answers

Determine the slope from the given graph below:

melomori [17]

The slope of the line is -4

8 0

2 years ago

Read 2 more answers

an Carlos County Health Department reported 17 new cases of tuberculosis in the first half of 2001 and 18 additional cases durin

Tpy6a [65]

Answer:

San Carlos County

Step-by-step explanation:

a) Data and Calculations:

Number of cases of tuberculosis reported in the first half of 2001 = 17

Number of cases of tuberculosis reported in the second half = 18

Total number of cases reported = 35 (17 + 18)

Population of the county at the beginning of 2001 = 204,500

Population of the county at the end of the year = 215,000

Average population for the year = 209,750 (204,500 + 215,000)/2

Therefore, the incidence rate of tuberculosis in the county = 35/209,750 * 100

= 0.000167

b) Since the incidence rate is <1, it suggests that the population of San Carlos County is at a very reduced risk of exposure to tuberculosis. This means that only 1 in 6,000 (209,750/35) people are exposed to the disease in the county.

5 0

3 years ago