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Given: WXYZ is a parallelogram; overline WY is a transversal
Prove: triangle WXY cong triangle YZW X
Statement Reason
1. WXYZ is a parallelogram overline WY is a transversal
2 overline XY cong overline WZ :; overline XW cong overline YZ
3 . angle WYX cong angle YWZ 4 overline WY cong overline WY
5. triangle WXY cong triangle YZW
Reflexive Property
Definition of a parallelogram
ASA
Alternate interior angles are
Given

Answer:

The equation of the line is y=1.4x+6.8

Step-by-step explanation:

Given 2 points on the graph, you can find the slope using the equation: \(m=\frac{y2-x2}{y1-x1}\) . The 2 points are (-7, -3) and (-2, 4). X1 is -7, X2 is -2, Y1 is -3, Y2 is 4. The slope would be 1.4 once you plug in the numbers to the equation to finding the slope. Once you find the slope, use one of the points to find the y-intercept along with the slope you found and the y-intercept will be 6.8.

Answer:

Step-by-step explanation:

product of 3 and 2 that is 3x2= 6, +5 = 6+5=11.

3 times the sum of 2  and 5 is 3x (2+5) = 3x 7 = 21.

the second expression is greater.

(3x2) + 5 is less than 3x(2+5)

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

A

Step-by-step explanation:

говорить на английском

The domain of the graph is, { x | - 3 ≤ x ≤ 5 }

The range of the graph is, {y | 10 ≤ y ≤ 60 }

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The graph is shown in figure.

We know that;

The domain of the graph is shown on x - axis, and range of the graph is shown y - axis by graph.

Hence, Domain of graph is,

⇒ { x | - 3 ≤ x ≤ 5 }

And, Range of graph is,

⇒ {y | 10 ≤ y ≤ 60 }

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Answer:

1/25, 0.04

Step-by-step explanation:

Reduced fraction: 4/100 = 2/50

Decimal: 0.04

Answer:

Fraction:

1/25

Decimal:

0.04

Step-by-step explanation:

Fraction:

4/100 (4%)

100/4 = 25

4/4 = 1

1/25

Decimal:

4/100 (4%) = 0.04

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

The principal in this scenario is $ 8000.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.

Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

It is Given that:

Priscilla invested 20,000 that means the total amount she invested.

Amount= $ 20,000

Rate of interest=12%

Time= 5 year

Interest= $12,000.

By the formula;

Amount =  principal + Interest

Principal = Amount - Interest

Principal= $ 20,000- $12,000

Principal=$ 8000

Hence, the principal in this scenario is $ 8000.

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Answer:

Step-by-step explanation:

"The difference of two numbers is 15."

x-y = 15

x>y

"Five times the smaller number is the same as 9 less than twice the larger number."

5y = 2x-9

y = x-15

substitution

5(x-15) = 2x-9

5x-75 = 2x-9

3x = 66

x = 22

y = x-15 = 7

Functions can either be discrete or continuous.

The function is given as:

\(\mathbf{y = 35x}\)

Where x represents the number of blankets

x can only take whole numbers (i.e 0, 1, 2....)

A discrete function is such that can only non-decimal values.

Hence, the function is discrete

(b) The domain

In (a), we listed the values of x to be: (0,1,2...)

This means that, the domain is: \(\mathbf{[0,\infty)}\)

(c) The range

When x = 0, we have:

\(\mathbf{y = 35x}\)

\(\mathbf{y = 35 \times 0 = 0}\)

This means that, the range is: \(\mathbf{[0,\infty)}\)

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Answer:

15% of 25

Step-by-step explanation:

Given the following questions:

25% of 15
15% of 25

We find the answer by using the formula to calculate percentage for both questions.

Question one:
\(\frac{p\times n}{100}\)
\(\frac{25\times15}{100} =25\times15=375\div100=3.75\)
\(=3.75\)

25% of 15 is 3.75

Question two:
\(\frac{p\times n}{100}\)
\(\frac{15\times 25}{100}=15\times25=375\div100=3.75\)
\(=3.75\)

15% of 25 is 3.75

Finally:
\(3.75=3.75\)

\(15-3.75=11.25\)
\(25-3.75=21.25\)
\(11.25 < 21.25\)

Which means 15% of 25 is "greater than" 25% of 15.

Hope this helps.

After 6 weeks there will be 58 kg rice be left.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The Owner of a restaurant bought 75 kilograms of rice.

And, Each week the restaurant uses 4.5 kilograms of rice.

Now,

After 6 weeks used rice is,

⇒ 4.5 × 6 kg

⇒ 27 kg

Hence, After 6 weeks there will be rice be left is,

⇒ 75 - 27 kg

⇒ 58 kg

Thus, After 6 weeks there will be 58 kg rice be left.

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Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

There were 29 adult admissions; and 72 child's.

The slope of a ramp with a height-to-distance ratio of 1 to 12 feet is 4.76 degrees.

The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The tangent relation or the height-to-distance ratio helps to determine the slope of the line.

It is given that the height-to-distance ratio of a slope is given as 1 to 12 feet.

So,

\(\tan \alpha = 1/12\\\alpha= \tan^{-1}1/12\\\alpha= 4.76^\circ\)

So, the slope of the ramp is about 4.76 degrees.

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There are t values that do not make sense

The graph of the function d =100t - 16t² is added as an attachment

From the graph:

The values of t that do not makes sense are values less than 0 (because time cannot be negative) and values above 6.25 because cannot enter the ground

From the graph:

The time to reach the highest point is 3.125 seconds

And the time to return to the ground is 6.25 seconds

These points are well labelled on the graph

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Answer:

your answer is -5/9

Step-by-step explanation:

Answer:

given that -7/3×5/21

=-7×5/3×21

=-35/63( divided by 7)

=-5/9

i hope this will help you

Answer:

B it originally cost 12000

Step-by-step explanation:

the depriciation factor is  0.75^t and the original value was 12000

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

\(V(t)=12000(0.75)^t\)

\(V(0)=12000(0.75)^0=12000\)

\(V(1)=12000(0.75)^1=9000\)

\(V(2)=12000(0.75)^2=6750\)

etc.

⇒ Initial cost = $12,000

⇒ The motorcycle's value is decreasing by 25% each year.

Answer:

9.75 is the answer rounded to 10.

10 is the final answer

Hope it helps!!!

Say if my answer is correct....

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Answer:

x=12

Hope this help :)

Statistics

We have the following dataset:

x={17,27,16,26,14}

First, we calculate the mean value:

Now we find the deviations from the mean:

17-20 = -3

27-20= 7

16-20 = -4

26-20= 6

14-20 = -6

Now we find the squares of each deviation and sum all of them:

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

Rs 190000

Step-by-step explanation:

Total property = Rs 1000000

For 1 son= 27% of the property

For 3 sons=27%×3= 81%

For daughter=100%-81%=19%

Now,

For daughter

19% of Rs 1000000

19/100 × Rs 100000

Rs 190000

Hence the daughter will get Rs 190000

Step-by-step explanation:

where is graph?....can u upload graph pic too?

Answer:

x=70

Step-by-step explanation:

when added together, verticle angles equal 180 degrees.

2x-10+x+20=180

3x-10+20=180

3x-30=180

3x=210

x=70

Z-scores are useful with regard to inferential statistics primarily because they offer a tool by which to determine whether a sample is noticeably different from a population. The answer is A.

Inferential statistics is a branch of statistics that deals with making predictions, generalizations, or inferences about a population based on a sample of data collected from that population.

Z-scores are a measure of the number of standard deviations away from the mean that a particular score lies. By standardizing a distribution of scores, Z-scores allow us to compare scores from different distributions or from different populations. By determining the Z-score of a particular sample, we can determine whether it is noticeably different from a population based on its distance from the population mean.

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