Given that AD is the perpendicular bisector of BC, AB=21.3, AC=21.3, and DC=9.1, identify BC.

a) BC = 42.6
b) BC = 18.2
c) BC = 9.1
d) BC = 4.55

sorry i can't upload a picture of the triangle but this is from an luoa assignment. i know it's not C

Answers

Answer 1

answer. B hope this helps

Answer 2

The length of BC is 18.2 units.

The correct answer is option b) BC = 18.2.

Since AD is the perpendicular bisector of BC, it divides BC into two equal segments. Let's call the point of intersection between AD and BC as M. Therefore, BM = MC.

According to the given information,

AB = AC = 21.3. Since AD is the perpendicular bisector of BC, it implies that AM is equal to MC.

Therefore, AM = MC = BC/2.

We are also given that DC = 9.1. Since MC = DC, we can conclude that BC/2 = 9.1.

To find BC, we can multiply both sides of the equation by 2:

BC = 2 x 9.1

BC = 18.2.

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Related Questions

Pleaseeee help im confused best answer will get brainliest.

Answers

Answer:

17y-9x

Step-by-step explanation:

12y-6x+5y-3x

12y+5y-6x-3x

17y-9x

Part A
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.


What is the slope of the line?

Slope =

Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?

a. Connor is correct because the rate of water flowing is equal to the slope. Water is flowing in at a rate which is about 2 gallons per minute.

b. Connor is not correct because the rate of water flowing is greater than the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

d. Connor is correct because the rate of water flowing is less than the slope. Water is flowing in at a rate which is faster than 2 gallons per minute.

Answers

Answer:

Part A: ½

Part B: c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

Step-by-step explanation:

Part A:

Slope of the proportional graph = y/x

Using the point on the line, (4, 2),

Slope = 2/4 = ½.

Part B:

Since the slope of the graph bus ½, it shows that the water is flowing at a rate of ½ gallon per minute. Therefore, Connor is NOT CORRECT.

The rate of water Connor stated does not correspond with the rate shown by the slope. The slope of the graph, ½, shows that the water is flowing at a much slower rate than at the rate of 2 gallons per minute, which Connor stated.

The right answer is C.

50 points decreased by 26%.

Answers

Answer:

The answer is 37

Step-by-step explanation:

The answer is 37 because 50 multiplied by 26% is 13 and 50 minus 13 is 37

Answer:

The answer is 37

Step-by-step explanation:

The answer is 37 because 50 multiplied by 26% is 13 and 50 minus 13 is 37

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records of how much he has at the end of each year in the table below.

What is Keith's unit rate of change of dollars with respect to time; that is; how much does Keith save in one year?

the unit rate is blank dollar per year.​

Answers

Answer:

keith saves 1500 dollars per year

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options. The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. The ratio for the percent increase has a smaller denominator than the percent decrease. The ratio for the percent increase has a different numerator than the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.

Answers

Answer:

A, C, D

Step-by-step explanation:

I took the test lol :)

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Percentage:A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.Example -An increase of $[tex]0.15[/tex] on a $[tex]2.50[/tex] price equals a fractional increase of [tex]\frac{0.15}{2.50} =0.06[/tex]. This represents an increase of % when expressed as a percentage.There is no mathematical restriction, therefore percentages may have various values even though the majority of % numbers fall between [tex]0[/tex] and [tex]100[/tex]. For percent changes and comparisons, it's typical to use terms like [tex]111[/tex] percent or [tex]35[/tex] percent.

Therefore, the correct options are as follows -

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

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What is the slope of the line that passes through the points (5,11) and (14,-10)

Answers

Answer:

the picture has the answer on it

Step-by-step explanation:

The slope of the straight line that passes through the points (5,11) and (14,-10) is [tex]\frac{-7}{3}[/tex].

What is a straight line?

''A straight line is an endless one-dimensional figure that has no width. A straight line is a combination of endless points joined on both sides of a point.''

Given, two points are (5, 11) and (14, -10).

Let, the line that passes through both these points has a slope = m.

Where, m = [tex]\frac{y_2 - y_{1} }{x_2- x_{1} }[/tex].

Here, (y₂ - y₁) = Change in the value of y.

(x2 - x₁) = Change in the value of y.

Therefore, [tex]\frac{y_2 - y_{1} }{x_2- x_{1} }[/tex] = [tex]\frac{-10 - 11}{14 - 5}[/tex] = [tex]\frac{-21}{9}[/tex] = [tex]\frac{-7}{3}[/tex]

Hence, slope of the straight line is [tex]\frac{-7}{3}[/tex].

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Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If
she eams $50 per day and she worked 30 days in the quarter, what is the total amount she earned?

O $137.88
o $450.00
O $1,500.00
o $1,637.88
1637.88

Answers

Answer:

d

Step-by-step explanation: please mark brainliest

The sum for three numbers is 57 the second number is 2x the first the third number is 18 less than the second what is the third number

Answers

Step-by-step explanation and answer:

consider the numbers x,y,z

X+y+z=57

2x=y-6

y=10+z

y=2x+6

z=y-10

=2x+6-10

z=2x-4

x+y+z=57

x+2x+6+2x-4=57

5x+2=57

5x=55

x=11

y=27

z=18

Jade takes 5 minutes more than twice as long as Binh to ride to their friend’s house. If Binh takes x minutes to ride to his friend’s house, how long will it take Jade?

Answers

Answer:

It will take Jade (2x + 5) minutes

Step-by-step explanation:

Let us find the expression that represents the time Jade will take

∵ Binh takes x minutes to ride to his friend’s house

The time Binh takes = x minutes

∵ 5 more means + 5

∵ Twice means × 2

∵ Jade takes 5 minutes more than twice as long as Binh to ride to their

   friend’s house

→ Multiply the time Binh takes by 2 and add the product by 5

∵ Binh takes x minutes

∴ The time Jade takes = 2 × x + 5

∴ The time Jade takes = 2x + 5 minutes

It will take Jade (2x + 5) minutes

a jar contains 10 caramels 5 mints and 15 dark chocolates what is the probability of selecting vs mint expressed as show ur working out ​

Answers

Answer: The probability of selecting a mint 1/6

Step-by-step explanation:

the jar contains 30 different candies

out of the 30, 5 are mints

5/30 = 1/6

The image of the point (9,-2) under a translation is (10,3). Find the coordinates of
the image of the point (-8, 4) under the same translation.

Answers

Answer:

(2,7)

Step-by-step explanation:

move 10 places to the right and 3 up

Which statement about this figure is true?

Answers

Answer:

Reflectional symmetry with one line of symmetry

Step-by-step explanation:

You can add a line of symmetry right down the middle that would make the left and right of the figure symmetrical, so it is reflectional with one line of symmetry.

Pleas help me with this I hate math

Answers

Answer:

Not a function, as it fails the vertical line test.

Step-by-step explanation:

I dislike math as well.

Answer:

B. not a function

Step-by-step explanation:

One x value has more than one specific y value. To be a function one x value cannot have more than one specific y value.

Determine the
constant of
proportionality.

Answers

Answer:

Step-by-step explanation:

Time is 2 miles 110 is 55 miles per hr

5 hrs *55 mph= 275

12*55= 660

Yes it is in proportion.

Find the mean, variance and standard deviation of the binomial experiment. In a recent survey, 70% of the community favored building a police substation in their neighborhood. If 30 citizens are chosen, what is the mean number favoring the substation? What would be the variance and standard deviation of their responses?

Answers

Answer: Mean = 21 , Variance = 6.3 , standard deviation =2.51

Step-by-step explanation:

Formula for the mean, variance and standard deviation of the binomial experiment :

[tex]Mean = np\\\\ Variance = np(1-p)\\\\ Standard\ deviation = \sqrt{variance}[/tex]

, where n= sample size , p= population proportion.

As per given, p= 70%=0.7 , n=30

[tex]Mean = 0.7\times30=21\\\\Variance =(30)(0.7)(1-0.7)=(21)(0.30)=6.3\\\\ Standard\ deviation = \sqrt{6.3}\approx2.51[/tex]

Hence, Mean = 21 , Variance = 6.3 , standard deviation =2.51

What’s the constant of proportionality of the relationship shown in the graph?

Answers

Answer: The constant is 3. Explanation: Every time the x value is highered by 1, the y value gets highered by 3. hopefully this helps

Answer: It's 3

Step-by-step explanation:

Select the best answer.
1. A principal spent $1780 on c calculators
for her school. Write an expression that
shows the cost of one calculator?

Answers

Equation to find cost of one cal.
= 1780/c
1780/c as 1780$ is spent on c calculators

HELP RN PLEASE!!! Jesse has a total of $2.90 in quarters and dimes. If Jesse has a total of 17 coins, how many quarters does Jesse have?

Answers

Answer:

0.09

Step-by-step explanation:

2.90/17= 0.17086....

0.17086.../2=9

She has 8 quarters.
8 quarters times 0.25 cents is 2 dollars.
9 dimes plus two dollars is $2.90 dollars.
These quantities of dimes and quarters together make 17 total coins and a total of $2.90.

Which graph shows the line y=35x−3?

Answers

Answer:

the last picture

Step-by-step explanation:

the one where the line hits the -3 mark on the y-axis

Answer:

this is how the graph should look

Step-by-step explanation:

) William eats at a cafe and the cost of his meal is $31.00. He wants to leave a 15% tip. How much should he leave for the tip

Answers

Answer:

4.65 dollars

Step-by-step explanation:

x% of y = [tex]\frac{x}{100}[/tex]×y

            = [tex]\frac{15}{100}[/tex]×31

            = 0.15 × 31

            = 4.65 dollars

∴ William will have to give 4.65 dollars.

Hi can someone plz help me thank you

Answers

Cube it’s a cube Buddha
Cube, hope this helps!!

square root -100= ___+___i

Answers

Answer is 10i

Step-by-step explanation:

Can u help me with this please

Answers

1. Turkey trot
2. Pumpkin pie
3. Family dinner
4. Mashed potatoes
5. Football
6. Wishbone
7. Cut the turkey
8. Beans (I can’t tell what the first emoji is)
9. Cornucopia
10. Black Friday

Answer:

1. turkey trolley

2. pumpkin pie

3. family dinner

4. smashed potatoes

5. football

6. wishbones

7. kill the turkey

8. green beans

9. corn you policeman xD

10. black friday

some of the stuff i know but i tried

Step-by-step explanation:

The lesser of the two solutions to x(x + 4) = 21 is:

Answers

Answer:

Lesser is -7

Step-by-step explanation:

x(x+4) = 21

Distribute

x^2 + 4x = 21

x^2 + 4x - 21 = 0

x^2 + 7x - 3x -21 = 0

(x+7)(x-3) = 0

x=-7, 3

PLS MARK BRAINLIEST

In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.


Corresponding sides are proportional


Corresponding sides are congruent


The shapes are exactly the same in side length and angle measure


Corresponding angles are congruent

Answers

Answer:

According to me all the options are correct

The answers are A and D

Given f(x)=2x-10. Evaluate f =24

Answers

Answer:

The answer is 17.

Step-by-step explanation:

Plug 24 in at the end where "f" isAdd 10 to both sides.Divide Both sides by 2Get answer of 17

Which relation is a function

Answers

Answer:

Step-by-step explanation:

take your pencil, place it vertical and move it from one side to the other of the graph if it touches the graph in more then 1 point is NOT a function.

only the last one in the right bottom it IS a function

Answer:

number 4

The only one that could be a function is the one on the right that is the lowest.

pleaseee help

6x7/8=
5/6x2/5=

Answers

6×7/8 =5 1/4 and 5/6x2/5= 1/3

A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In​ February, there are 28 days. The​ company's budget allows for​ 15,000 total miles in February. Do you think the budget is​ reasonable? Explain.

Answers

Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget

Step-by-step explanation:

Given data:

Distance between two cities = 48 miles

Number of days available in February = 28

February budget = 15000 miles

Solution:

If the distance between two cities = 48 miles, and 7 trips are made daily

= 48miles * 7

= 336 miles is travelled each day.

For February

= 28days * 336

= 9408 miles.

Budget – travel distance covered ( February)

= 15,000 - 9408

= 5592 miles.

The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.

So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.

Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising

Answers

Answer:

D = [tex]\frac{-d}{-2}[/tex]

Step-by-step explanation:

The amount of money that the students will pay back with the fundraiser (D) would be half of the current debt (d) since debt is represented as a negative but the fundraiser needs to be a positive since it is money gained we would divide by -2

D = [tex]\frac{-d}{-2}[/tex]

This equation shows the debt that will be repaid through the fundraiser which would be exactly half of the current debt.

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