In the diagram below, the three lines intersect in the same point,
forming six numbered angles

character character character

Answer:

here you go I guess

Step-by-step explanation:

The price per one pound of almonds equal $2.20/0.65 lb

0.65 pounds of almonds cost $2.20

Verify each case

case 1) The price per one pound of almonds equal $2.20/0.65 lb

The statement is true

To find the price per one pound calculate the unit rate

So,

$2.20/0.65 lb=$3.38 per one pound

case 2) 2.2 pounds of almonds cost $0.65

The statement is not True

The correct is 0.65 pounds of almonds cost $2.2

case 3) Each bag of almonds weighs 2.2 pounds

Cannot be determined

In the problem there is no information about how much each bag of almonds weighs

case 4) 0.65 pounds of almonds cost $2.20

The statement is True

The point (0.65,2.20) lie to the line of the the graph.

To know more about Drag each statement to show whether it is true, based on the graph.

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Answer:

0 (its a straight line horizontal)

Step-by-step explanation:

-3+3=0

18-3=15

0/15 = 0

slope=0

Answer: k>8.14

Step-by-step explanation: just do math.

Answer:

The well-desgined graph has an appropriate scale for the y-axis. By appropriate we mean that the scale is such that all points on the graph can be discerned easily. In other words, the scale is not too wide or too narrow.

For graph A, the scale is such that the data points are at such a distance from each other that their values can be easily read off. On the other hand, for graph B, there isn't enough vertical distance between the data points for them to be easily read.

Answer:  76           Mr Helmer had 76 inches left.

Step-by-step explanation:  All you do is you subtract 9 from 85.

Or 85-9=X

The distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles using the estimation concept.

As per the question statement, Noor’s family is meeting her grandparents at a restaurant and the restaurant is 24.5 miles from Noor’s house but this is 65.5% of the distance from Noor’s house to her grandparents’ house.

We are supposed to find the distance between Noor's house and her grandparent's house. We will use the concept of estimation.

Distance between Noor's house and restaurant = 24.5 miles

Let distance between Noor's house and her grandparent's house be "x" miles.

So the distance between grandparent's house and restaurant = x - 24.5

Now it is given that 24.5 miles is 65.5% of the distance from Noor’s house to her grandparents’ house.

So, 65.5% of x = 24.5

(65.5*x)/100 = 24.5

65.5*x = 2450

x = 2450 / 65.5

x = 37.40 miles

If rounded off to the nearest tenth mile, we get

x = 40 miles.

So, the distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles.

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The result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61

The expression is

3x-(2x+10)

The expression is the mathematical sentence with a minimum of two variables and at least one math operation.

The value of the x = [tex]7\frac{5}{13}[/tex]

Convert the mixed fraction to the simple fraction

[tex]7\frac{5}{13}[/tex] = 96/13

Convert the simple fraction to the decimal form

96/13 = 7.39

Substitute the value of x in the given expression 3x - (2x + 10)

= 3 × 7.39 - (2×7.39 + 10)

Multiply the terms first

= 22.17 - (14.78 + 10)

= 22.17 - (24.78)

= -2.61

Hence, the result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61

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Answer:

A

Step-by-step explanation:

The given inequality is,

The graph of the inequality will be shown below

Answer:

I believe it's " a study that collects data on every subject in sample"

Answer:

1,897,055

Step-by-step explanation:

1,381,069+515,986​=1,897,055

Answer:

See below

Step-by-step explanation:

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex])

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b}{ab}[/tex] + [tex]\frac{a}{ab}[/tex])

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b+a}{ab}[/tex])

[tex]\frac{(a+b)}{(a+b)(ab)}[/tex]

[tex]\frac{1}{ab}[/tex]

[tex]ab^{-1}[/tex]

72, 108, and 108 are the other three angles formed by the two straight lengths of wire.

For the given question.

Two straight lengths of wire are put on the ground, to form vertical angles.

Because vertical angles have always been congruent, 72 is the vertical angle to 72.

Because the line is straight, the answer is 180.

180 - 73 equal 108. (supplement angles)

Because they are both vertical angles, there are two 180s.

Thus, the three angles formed are 72, 180 and 180 degrees.

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Answer:

a. (7x²+2) + (2x²+3)

= 9x² + 5

b. (5x + 2) + (8x + 3)

= 13x +5

c. (5x)(8x + 3)

= 40x² + 15x

Answer:

True

Step-by-step explanation:

Matching sides of two or more polygons are titled corresponding sides,and matching angles are titled corresponding angles . If two figures are lookalike,then the measures of the corresponding angles are similar and the ratios of the lengths of the corresponding sides are proportional .

the answer to tuis problem is x=4.

The width of the plywood = 23/8 ft

The two rectangular pieces of plywood had equal widths.

The length of first rectangular piece = 6 ft

The length of second rectangular piece = 5 1/2 ft = 11/2 ft

The two pieces are joined to make a single rectangular stage.

Then the total length of the stage = 6 + 11/2 = 23/2 ft

Now area of the rectangular stage = 66 1/8 = 529/8 square feet.

⇒ length x width = 529/8

⇒ 23/2 x width = 529/8

⇒ width = 529/8 x 2/23 = 23/4 ft

Let 'x' be the width of a rectangular plywood.

Then 2x = width of the stage

⇒ 2x = 23/4

⇒ x = 23/8 ft

Hence width of the plywood = 23/8 ft

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Based on the definition of the median and applying the centroid theorem, the length of WI is calculated as: 6 units.

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.

Medians intersect each other at a point inside the triangle that is called the centroid. Based on the centroid theorem, since J is the centroid of triangle XYW, then:

the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)

Thus, we have the equation that relates the length of the segments as shown below:

IE = 1/3(EW)

Given that:

IE = 3 units

Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

Length of WI = the length of EW - the length of IE

Substitute

Length of WI = 9 - 3

Length of WI = 6 units.

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Answer:

Explanation:

Terry bought 2 shirts for $14 each.

That is $28 on shirts

2 pair of socks for $2.99

That is $5.98 on socks

A pair of slacks for $25

The sales tax rate is 6.5% or 6.5/100 or 0.065

We want to know how much he paid.

Adding all the items he bought together, we have:

$28 + $5.98 + $25

= $58.98

Next, we apply the sales tax rate.

Take 6.5% of $58.98

This is: $58.98 * 0.065

= $3.83

Finally, add the sales tax with the amount we got

$58.98 + $3.83

= $62.81

He paid $62.81 in total

Given:

Area of large rectangle = (8x + 1)(5x)

Area of small rectangle = (4x)(2x)

To find area of the shaded region, subtract the area of the small rectangle from the large rectangle.

We have:

Area of large rectangle =

Area of small rectangle =

Area of shaded region =

Therefore, the area of the shaded region is = 32x² + 5x

ANSWER:

Given:

The linear equations are,

The objective is to solve by elimination method.

The equations can be rearranged as,

To solve the equation, multiply equation (1) b

The probability of getting an even number is 1/2 while the probability of getting a factor of 6 is 1/6

The probability of an even number

From the question, the sample space of the number cube is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of even numbers, x = 3

The probability of getting an even number is then calculated as

P(Even) = Number of even numbers/Sample size

This gives

P(Even) = 3/6 = 1/2

The probability of a factor of 6

From the question, the sample space of the number cube is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of factor of 6, x = 1

The probability of getting a factor of 6 is then calculated as

P(factor) = Number of factor of 6/Sample size

This gives

P(factor) = 1/6

Hence, the probability is 1/2 and 1/6

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Using properties of exponents, it is found that Mia's first mistake is described as follows:

Mia made a mistake in Step 3. She simplified the exponents 16 and -8 incorrectly. She should have subtracted them.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, as follows:

3^0 x 3^(16) = 3^(0 + 16) = 3^16.

Hence the Step 1 is correct.

For the power of power rule, we keep the base and multiply the exponents, hence:

(3^(-4))² = 3^(-4 x 2) = 3^(-8).

Hence the Step 2 is correct.

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, as follows:

3^16/(3^(-8)) = 3^(16 - (-8)) = 3^(16 + 8) = 24.

Which is Mia's mistake, as she did not subtract the exponents.

The steps are missing and are given by the image at the end of the answer.

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With the concepts of percentages and calculations, the percent decrease in the number of people who went to the pool over these four weeks is 10%

Take the base as 100 and convert the percentage to numbers and then proceed with the same.

Now, the initial number of people in the local swimming pool is 1020, after which 100 fewer went, hence 920 people

Now, 135 people more people need to be added, thus 1055 people.

Now, 137 fewer people went, so 918 people went to the pool in the four weeks.

Therefore percent decrease = Difference/No. of people in the first week * 100

Thus, the percent decrease =  102/1020*100=10%

Hence 10% of people went less in the fourth week as compared to the first week.

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The percent sales tax of the purchase is 3 %.

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

She went shopping for a new pair of sneakers.

The listed price of the pair of sneakers was $43, but the price with tax came to $44.29.

Therefore, the percent sales tax can be found as follows:

sales tax = 44.29 - 43

sales tax = $1.29

Therefore,

percent sale tax = sale tax / cost with tax × 100

percent sale tax =  1.29 / 43 × 100

percent sale tax = 129 / 43

Therefore,

percent sale tax = 3%

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