13. Mr. Ralph took out a 10-year term policy with a face value off dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after 12 years. How much will his family receive
from the insurance company?

Answer:  A) ΔABD ≡ ΔECD

Step-by-step explanation:

Match up the letters of the congruent sides.

AD = ED      and    BD = CD

A D                        B D           →     ABD

E D                        C D           →     ECD

This can be written in any order as long as the letters are matched properly.   A & E,   D & D,   B & C

ADB          or        BDA       or     ...

EDC                      CDE

The only correct option provided is option A.

Answer:

Answer is option 1)

Answer is given below with explanations.

Step-by-step explanation:

[tex]triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Option (2)

Step-by-step explanation:

In the figure attached,

ΔA'B'C' is a dilation image of ΔABC or both the triangle are similar.

Therefore, by the property of similarity of two similar triangles, corresponding sides these similar triangles will be proportional.

Scale factor = [tex]\frac{\text{Side of image triangle}}{\text{Side of the pre-image}}[/tex]

                    = [tex]\frac{\text{B'A'}}{\text{B'A}}[/tex]

                    = [tex]\frac{\text{(B'A+AA')}}{\text{B'A}}[/tex]

                    = [tex]\frac{(6+12)}{6}[/tex]

                    = 3

Therefore, scale factor is 3 when center of dilation is B.

Option (2) will be the answer.

Answer:

Two Portions!!!

Step-by-step explanation:

Answer:

D. BDCA

Step-by-step explanation:

B Start with the segment with point P. Center the compass at P and, with the same radius, strike two marks on the line on both sides of point P. Call these point A and D.

D Center the compass at D open the compass to a radius greater than the length DP.

C Draw an arc above segment CD. Center the compass at C, and using the same radius, draw another arc above segment CD that intersects the previous arc.

A Draw a line from the point of intersection of the arcs to point P. The is the perpendicular to line AB through point P.

Answer: BDCA

Answer: BDCA

Step-by-step explanation:

Start from point B.

Measure the distance BD.

Draw intersecting arcs of this distance from points C and point D above the line. Name this point E.

Join B and E to draw the perpendicular segment

Answer:

The answer is 41%.

Step-by-step explanation:

First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :

[tex]v = \pi \times {r}^{2} \times h[/tex]

[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]

[tex]v = 3.14 \times {3}^{2} \times 12[/tex]

[tex]v = 3.14 \times 108[/tex]

[tex]v = 339.12 {cm}^{3} [/tex]

Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :

[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]

Lastly, you have to find the percentage :

[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]

Answer:

33.33%

Step-by-step explanation:

use a proportion

20/60 =10/30=1/3=33.333%

hope this helped!

Answer:

=√29

Distance between (4,7) and (2,2) :   =√29

Steps:

Compute the distance between (ˣ1,y1) , (ˣ2,y2) :  √ (₂-ˣ1) ² + (y₂-y₁)²

The distance between (4,7) and (2,2) is

= √ ( 2-4) ² + (2-7)²

√ ( 2-4) ² + (2-7) ² =√29

=√29

Please mark brainliest

Hope this helps.

Answer:

2,973 in^3

Step-by-step explanation:

3000- large section

27- smaller center cut-out

Answer:

2973 in³

Step-by-step explanation:

volume of cuboid - volume of cube

20*15*10 - 3³

3000 - 27

= 2973

The volume of the aquarium is 2973 in³.

Answer:

12   1/2

Explanation:

6  1/4 ÷ 2

= 25/4 × 2/2

= 25 × 2  ÷ 2

= 12  1/2

Answer:

Given,

CB=X

CD=3

CA=3+7=10

HERE,

[tex] {(cb)}^{2} = cd \times ca \\ {x}^{2} = 3 \times 10 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]

Hope this helps...

Good luck on your assignment..

The value of x is: x= √30.

Here, we have,

from the given figure, we get,

let, angle C = Ф

then, from triangle BCD,

cos Ф = 3/x

and, from triangle ABC,

cos Ф = x/10

so, we have,

3/x = x/10

=> x² = 10×3

=> x² = 30

=> x= √30

Hence, The value of x is: x= √30.

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Answer:

75%

Step-by-step explanation:

There are 6 numbers that fit the rule, 1, 2, 3, 4, 6, 8. Since there are a total of 8 numbers, there is a 6/8 chance picking one or 75% chance.

Answer:

50%

Step-by-step explanation:

so the original fraction is 4/8 or 1/2 so it is 50%.

Answer:

F distribution test

Step-by-step explanation:

He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.

Explanation:

The sample proportion 0.617 is at the exact midpoint of the interval from  0.572 to 0.662

We can confirm this by applying the midpoint formula.

The distance from the center (0.617) to either endpoint will be the margin of error. In other words, it is half the width of the confidence interval

L = lower boundary of confidence interval = 0.572

C = center of confidence interval = 0.617

U = upper boundary of confidence interval = 0.662

We have three methods to find the confidence interval

Each yielding the same result of 0.045

With the third method, you don't need to know the center of the confidence interval.

Complete Question:

You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the​ walk? Use 3.14 for pi π.

Answer:

75.36 square yard

Step-by-step explanation:

From the question,

The diameter of this circular pool inside is 23 yd.

This means that the radius = Diameter/2 = 23yd/2 = 11.5 yd.

The formula for the area of a circle =

A = πr²

A = π(11.5)²

A =3.14 × 11.5²

A = 415.265 yd²

This is the Area of the inner circle.

We were told in the question also that he wants to install a walk of 1 yard

Hence, the radius of outer circle =

radius of inner circle +length of the walk

11.5yard + 1 yard

= 12.5 yard

A = πr²

A = 3.14 × (12.5)²

A = 490.625yd²

Area of the walk = Area of the Outer circle - Area of the inner circle

= (490.625 - 415.265)yd = 75.36 yd²

Therefore, the area of the walk is 75.36 square yards.

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 – 125 > 300

Add 125 to both sides.

n ÷ 4 > 425

Multiply both sides by 4.

n > 1700

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 - 125 > 300

Add 125 to both parts.

n ÷ 4 > 300 + 125

n ÷ 4 > 425

Multiply both sides with 4.

n > 425 × 4

n > 1700

Answer:

2.24 s

Step-by-step explanation:

Given:

Δy = 80 ft

v₀ = 0 ft/s

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

80 ft = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.24 s

Answereippcb.jrc.ec.europa.eu

Step-by-step explanation:

this I the wed go on it and you will get your answer

Answer:

Step-by-step explanation:

x - 1/2 =0

2x = 1

4x = 2

Answer:

x + 3 = 7/2

100x = 50

16/x = 24

Step-by-step explanation:

The value of x is 1/2 in the three equations.

Answer:

1/4

Step-by-step explanation:

There are 36 possible combinations.  Of those 36, the ones that add up to either 6 or 9 are:

1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3

There are 9 combinations that add up to either 6 or 9.  So the probability is 9/36, or 1/4.

The probability that the sum of the numbers rolled is either 6 or 9 is   [tex]\frac{1}{4}[/tex] . In rounded to the nearest millionth, the probability is 0.25.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Possible outcomes are

1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3.

The number of possible outcomes is 9.

Each dice has 6 possible outcomes.

Total number of outcomes = 6 × 6 =36

The probability is the ratio of total number of outcomes to possible outcomes.

The probability is 9/ 36 = 1/4 = 0.25

Hence, required probability is 1/4 or 0.25.

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Answer:

6/5

Step-by-step explanation:

you have to flip the numerator and denominator. If it is 5/6 then it would be 6/5.

The reciprocal fraction that is required will be 31/26.

A fraction is a numerical number that is represented in the numerator and denominator form.

We have Two mixed fractions, the First fraction = 4(1/3) and the Second fraction =  5(1/6).

Now,First, convert mixed fractions into simple fractions,i.e.First fraction  = 4(1/3) = 13/3And,Second fraction = 5(1/6) = 31/6

Now, According to the question,

Divide First fraction by Second fraction;i.e.= (13/3) / (31/6)Now simplify,= ( 13 × 6) / (31 × 3)

Now, We get,= 26/31

So, the reciprocal fraction = 31/26.

Hence we can say that the reciprocal fraction that is required will be 31/26.

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Answer:

Step-by-step explanation:

Mean is defined as the ratio of the total sum of all the given datas to the total number of data present. It is expressed mathematically as;

[tex]\overline x = \frac{ \sum Xi}{N}[/tex] where;

[tex]\overline x = mean\\Xi= individual \ data\\N = total\ amount\ of \ data[/tex]

Given N = 7

[tex]\overline x = \frac{15+12+5+14+4+4+6}{7}[/tex]

[tex]\overline x= \frac{60}{7} \\\overline x = 8.57[/tex]

The mean number of cousins is 8.57

Hey there! :)

Answer:

Has one solution.

(Graphed below)

Step-by-step explanation:

***The equations are graphed below, but this can also be solved algebraically.***

Set each equation equal to each other:

-6x + 6 = -3x - 3

Add 6x to both sides:

6 = 3x - 3

Add 3 to both sides:

9 = 3x

x = 3.

Plug in the value of x into an equation to solve for y:

y = -6(3) + 6

y = -18 + 6

y = -12.

The system of equations only has ONE solution at (3, -12).

On the graph, as well, the point of intersection is at (3, -12). This is the solution.

Answer:

The answer is

Step-by-step explanation:

Usng the formula

[tex]A(n) = 3(2) ^{n - 1} [/tex]

Where n is the number of terms

For the first term

[tex]A(1) = 3(2)^{1 - 1} \\ = 3(2) ^{0} \\ = 3(1) \\ \\ = 3[/tex]

For the fourth term

[tex]A(4) = 3(2)^{4 - 1} \\ = 3 ({2})^{3} \\ = 3 \times 8 \\ \\ = 24[/tex]

For the eighth term

[tex]A(8) = 3 ({2})^{8 - 1} \\ = 3 ({2})^{7} \\ = 3(128) \\ \\ = 384[/tex]

Hope this helps you

Answer: –3; –24; –384

Step-by-step explanation:

Answer:

82 miles

Step-by-step explanation:

Since Nathan only needs the car for a day and he has 75$ then we can set that as are maximum to build the equation to find the amount of miles he can drive.

75 = 29.5 + 0.55x

45.5 = 0.55x

x = 82.73

The problem states that partial miles will count as full miles, so Nathan can only afford to drive 82 miles on the rental car.

Cheers.

Nathan can drive a number of miles would be 82.73 the without exceeding his budget.

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given that Nathan only needs the car for a day and has $75, we can use it as the maximum to develop the equation to determine how many kilometers he can drive.

⇒ 75 = 29.5 + 0.55x

⇒ 45.5 = 0.55x

⇒ x = 82.73

Thus, the partial miles are counted as full miles, Nathan can only afford to travel 82 miles in the rented car.

Therefore, he can drive a number of miles would be 82.73 the without exceeding his budget.

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Answer:

πd or 2πr

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle by pi or multiply 2 times the radius times pi.

Hope that helps.

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               Hi my lil bunny!

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Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.

                                            ` OR `

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

1/13 chance or roughly 7.7% chance.

Step-by-step explanation:

There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is  1/13 chance.

Answer:

7.2

Step-by-step explanation:

Since 72 goes into 10 7 times, we do have 7 point something. We are left with 2/10ths, which is 0.2, so we add them together to get 7.2.

Answer:

The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.

Answer:

x^2-3x-54

Step-by-step explanation:

Once again FOIL is the way to go!

First, Outside, Inside, Last

x^2-3x-54

Answer:

[tex]x^2-3x-54[/tex]

Step-by-step explanation:

=> (x+6)(x-9)

USING FOIL

=> [tex]x^2-9x+6x-54[/tex]

=> [tex]x^2-3x-54[/tex]