Points D and E are midpoints of the sides of triangle
ABC. The perimeter of the triangle is 48 units.
What is the value of t?
2
3
6
8

*ANSWER IS 2 just took the test*

Points D And E Are Midpoints Of The Sides Of TriangleABC. The Perimeter Of The Triangle Is 48 Units.What

Answers

Answer 1

Answer:

A. 2

Step-by-step explanation:

From the diagram, it is indicated;

AD = DB = 3t,

AC = 7t + 6

CE = EB = 4t

Perimeter = 48 units

Perimeter = AD + DB + AC + CE + EB

Plug in the values

48 = 3t + 3t + 7t + 6 + 4t + 4t

Add like terms

48 = 21x + 6

48 - 6 = 21x + 6 - 6

42 = 21x

42/21 = 21x/21

2 = x

x = 2


Related Questions

What is the volume of the prism?
2 cm
3cm
11 cm PLS HURRY

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Answer:

66

Step-by-step explanation:

multiply everything together

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Answer:

tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd

A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?

Answers

Answer:

This is an example of self selecting sampling

Step-by-step explanation:

This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.

for what value of x is the equation below true?

x2+4x +5=0

Answers

Hi there!

[tex]\large\boxed{\text{None.}}[/tex]

Using the discriminant formula, we can determine if this equation is ever true:

b² - 4ac

Plug in the a, b, and c values from the equation:

(4)² - 4(1)(5)

16 - 20 = -4 < 0

Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.

The answer is -2+/- square root of -1.

A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen? Apply the method of Example 9.6.2 using balloons instead of cans of soft drinks to find that the number of different combinations of 28 balloons that can be chosen is . (b) If the store has only 12 red balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? Use the method of Example 9.6.2(c) to answer this question. If the store has only 12 red balloons, then the number of different selections of 28 balloons of the different colors is the same as the number of different selections that contain 12 or fewer red balloons. Let T be the set of all possible selections, assuming that there are at least 28 balloons of each type, let R≤12 be the set of selections in T that contain 12 or fewer red balloons, and let R≥13 be the set of selections from T that contain 13 or more red balloons. Use the relationships among R≤12, R≥13, and T to find that the number of different combinations of 28 balloons that can be chosen is . (c) If the store has only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? (d) If the store has only 12 red balloons and only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen?

Answers

Answer:

(a) [tex]Selection = 6724520[/tex]

(b) [tex]At\ most\ 12 = 6553976[/tex]

(c) [tex]At\ most\ 8 = 6066720[/tex]

(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

Step-by-step explanation:

Given

[tex]Colors = 8[/tex]

[tex]Balloons = 28[/tex] --- at least

Solving (a): 28 combinations

From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.

Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.

So:

[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]

[tex]r = 28[/tex]

[tex]Selection = ^{35}^C_{28[/tex]

[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]

[tex]Selection = \frac{35!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]

[tex]Selection = \frac{33891580800}{5040}[/tex]

[tex]Selection = 6724520[/tex]

Solving (b): At most 12 red balloons

First, we calculate the ways of selecting at least 13 balloons

Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)

So:

[tex]n => 15 + 8 -1 = 22[/tex]

[tex]r = 15[/tex]

Selection of at least 13 =

[tex]At\ least\ 13 = ^{22}C_{15}[/tex]

[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]

[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]

[tex]At\ least\ 13 = 170544[/tex]

Ways of selecting at most 12  =

[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule

[tex]At\ most\ 12 = 6724520- 170544[/tex]

[tex]At\ most\ 12 = 6553976[/tex]

Solving (c): At most 8 blue balloons

First, we calculate the ways of selecting at least 9 balloons

Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)

So:

[tex]n => 19+ 8 -1 = 26[/tex]

[tex]r = 19[/tex]

Selection of at least 9 =

[tex]At\ least\ 9 = ^{26}C_{19}[/tex]

[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]

[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]

[tex]At\ least\ 9 = 657800[/tex]

Ways of selecting at most 8  =

[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule

[tex]At\ most\ 8 = 6724520- 657800[/tex]

[tex]At\ most\ 8 = 6066720[/tex]

Solving (d): 12 red and 8 blue balloons

First, we calculate the ways for selecting 13 red balloons and 9 blue balloons

Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)

So:

[tex]n =6+6-1 = 11[/tex]

[tex]r = 6[/tex]

Selection =

[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]

[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]

[tex]^{11}C_6 = 462[/tex]

Using inclusion/exclusion rule of two sets:

[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

Find the measure of CD in parallelogram ABCD .

Answers

Answer:

Picture would be appreciated.

Ms. Gittens went out to dinner and the total bill was $60. She wants to give the waiter a %20 tip. How much money should Ms. Gittens give the waiter for a tip?

Answers

Answer:

$12

Step-by-step explanation:

20% of 60 = 12

Answer:

12 .....20% of 60 is = 12

Step-by-step explanation:

please help guys asap

Answers

Answer:

28 i think

Step-by-step explanation:

Scan QR code and it takes to homework so u can answer question i will give brainliest to correct answer please answer correct

Answers

im just gonna take the points for falling for that.

what is the volume of this composite solid ​

Answers

Answer:

C

Step-by-step explanation:

198 cubic meters

Evaluate the following expression.
3 to power of 1

Answers

Answer:

3

Step-by-step explanation:

it is 3 3x1 is 3

three raised to the first power is three :)

Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:

d + b = 520. d minus 80 = b.

What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.

Answers

Answer:

D

Step-by-step explanation:

Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.

What is the mean absolute deviation of the number of times?

Round to the nearest tenth, if needed.


a. 0

b. 2

c. 2.3

d. 2.5

Answers

well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

Answer: the answer is c

Step-by-step explanation: i took the test

Which equation represents 7/3 ? Select all that apply.

Answers

I’ll say B , E , and D hope this helps

ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.

Answers

Well Ryan climbed at a speed of 100 steps per 50 seconds so if you take the steps which is a hundred and the time of 50 seconds and divide the two you will get a result of 2 steps per second.

an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle

Answers

Answer:

12 and 78

Step-by-step explanation:

The sum of complementary angles is 90 degrees

X+(x-66) = 90

2x = 156    x =  78

78-66 = 12

Blake is going to invest $79,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Blake to end up with $96,000?

Answers

Answer:

r =2.2%

Step-by-step explanation:

19.214÷13
pls someone help me

Answers

Answer:

1.478

Step-by-step explanation:

HELPP!! I report wrong answers!!

Answers

A : 12+1.5x=26 :))))

During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.

_____

The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.

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Answers

12x^2+6x is not equivalent

3/4 to the 2nd power ​

Answers

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]

[tex]- Yaoii[/tex]

Consider the expression 40+24 . Find the greatest common factor of the two numbers and use the distributive property to rewrite the expression

Answers

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

. Use 3.14

plss help ​

Answers

Answer:

A≈494.13

R = 12.54

D = 25.08

Step-by-step explanation:

Here is all the answers.

PLZZZZ give me brainliest!!!

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Answers

Answer:

base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630

3a. Find the value of a.
Can you pls add work thank you for your time

Answers

Answer:

I think its 90°

Step-by-step explanation:

I dont know foe suee

Answer:

a = 98⁰

Step-by-step explanation:

According to the the triangle sum thereom, all angles in triangle add up to 180⁰.

m<a + m<b + m<c = 180⁰

m<a + 34⁰ + 48⁰ = 180⁰

m<a + 82⁰ = 180⁰

m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰

m<a = 98⁰

Hope this helps, thank you :) !!

Write the equation of the line in either point-slope form or slope-intercept form.

Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).

Use the drop-down menus to select the appropriate values in the equation.

y = _ x + _

Answers

Answer:

here you go hope this helps

Step-by-step explanation:

y= -3x + -4

Answer:

answer  in picture

Step-by-step explanation:

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Answers

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33

Step-by-step explanation:

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5

Step-by-step explanation:

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Answers

I think it’s 140 I hope this helps

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Answers

Answer:

x = 5

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If the numerator is 3 times, then so is the denominator in a proportion.

3/1=x+1/2

x+1 must equal 6 for the proportion to be equal to 1/2.

6-1=5, so x is 5.

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