Find the values of the variable and the lengths of the sides. ​

Find The Values Of The Variable And The Lengths Of The Sides.

Answers

Answer 1

Answer:

See answers below

Step-by-step explanation:

2x - 7 = x + 1      sides are equal

x - 7 = 1

x = 8

Find the length of each side

AD = 2x -7                BC = x + 1            AB = 2x - 2                DC = x - 1

AD = 2(8) - 7             BC = 8 + 1            AB = 2(8) - 2             DC = 8 - 1

AD = 16 - 7                BC = 9                 AB = 16 - 2                DC = 7

AD = 9                                                   AB = 14


Related Questions

A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?

Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52

Answers

Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes.  The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.

Answers

Answer:

altitude = 15 cm

Step-by-step explanation:

you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'

a² + 8² = 17²

a² + 64 = 289

a² = 225

a = [tex]\sqrt{225}[/tex]

a = 15

Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?

Answers

answer: 1,640.27
you’re welcome

Will give brainly,5 stars,and thank if it CORRECTLY

Answers

Answer:

$31.68

Step-by-step explanation:

1.4 x 9.15 = $12.81

0.8 x 10.75 = $8.60

2.6 x 3.95 = $10.27

12.81 + 8.60 + 10.27 = $31.68

please help with this

Answers

Answer:

v = 32

Step-by step explanation:

Step-1: Subtract 15 both sides

⇒ v/4 + 15 = 23

⇒ v/4 + 15 - 15 = 23 - 15

⇒ v/4 = 8

Step-2: Use cross multiplication

⇒ v/4 = 8

⇒ v = 8 × 4 = 32

simplify and factor if necessary​

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]

[tex]\frac{3x - 12}{x(3x-12)}[/tex]          Factor out x.

[tex]\frac{1}{x}[/tex]                    Simplify.

At a local college there are five women enrolled for every two men. (A) If there are 5,000 men enrolled how many women are enrolled? (B) What is the constant of proportionally in this situation?

Answers

Answer:

A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2

Step-by-step explanation:

Claire has 38 yards of material to make costumes for the school play.
She needs 2 3/8 yards for each costume. How many costumes can she
make?

Answers

Answer:

16

Step-by-step explanation:

38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38

26 30 45 43 26 14 28 33 56 29 what is the medain of this data set

Answers

Answer:

26isthemedian

Step-by-step explanation:

PLZZ HELP

Order these numbers from least to greatest. ​

Answers

7.1 ,7.109 ,7.1091 ,7.19
7.1, 7.109, 7.1091, 7.19

A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount

Answers

Answer:

i believe its 58%

Step-by-step explanation:

Annabelle picked 65 apples at a local orchard. 40% of the apples were green apples. How many green apples did Annabelle picked

Answers

26 green apples

if you do 0.4 * 65 you get 26 which is 40% of 65

hope this helps!

The solution of the equation 3 + 5 (t-1) = 33 is ________.​

Answers

Answer:

the solution is  =  7

[tex]3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7[/tex]

Answer:

7

Hope you could get an idea from here.

Doubt clarification - use comment section.

Lola's Suds costs $3.48 for a 12 ounce bottle. Bill's
Bubbles cost $1.60 for a 12 ounce bottle. Which
bottle cost less per ounce?

Answers

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

HELP URGENT!!! RESPOND QUICKLY!!!​

Answers

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

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Linear Inequalities: Mastery Test
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
21 + y > 4
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Answers

Hope this helps
Answer…

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

m represents the slopec represents the y-intercept

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/11234618

Three consecutive integers add up to 30. Which integers are they?​

Answers

Answer:

30 31 33 are the three integer consective

Explain how to use the distributive property to find an expression that is equivalent to 20+16.

Answers

Answer:

Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

2x+3=3+2x
Someone help pls

Answers

Answer =x
Explaination: anything equals x

Answer:

Step-by-step explanation:

There is no answer I looked it up and it said 0=0

The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?

Answers

The length of the trails can be determined be using a formula related to

Pythagorean theorem, which makes use of the rise and run of a trail.

The number of miles longer Trail A is than Trail B is 4 miles

Reasons:

The location of the park = (1, 9)

The stating point of Trail A = (-7, -6)

Starting point of Trail B = (6, -3)

The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;

[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]

Therefore;

[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]

[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]

The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles

Therefore;

Trail A is 4 miles longer than Trail B

Learn more about finding the distance between two points on a graph here:

https://brainly.com/question/9917504

Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation

Answers

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (at least) 35

x + y ≥ 35

 

Since John needs to pack at least 350 books:

 

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

 

Your system of inequalities is:

 

x + y ≥ 35

15x + 8y ≥ 350

GO INTO DESMOS TO GRAPH

Help ASAPPPPP ALGEBRA 2

Answers

This is cross multipication.  Multiply 117 times 36 together for that you would use a calculator. You get 4221. Next step is to multiply x and 12 together that would be 12x.

4221= 12x

Divide  by 12 on both sides:

x= 351

351 is # of trouts in the lake .

Challenge question? Thanks.

Answers

Answer:

x=15

Step-by-step explanation:

the basic property is: AB/AD=BC/CD, for more info see the attachment.

Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4

Answers

the answer is A f1/4


A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.

Answers

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

  = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:

Based on the information marked in the diagram, AABC and ADEF must be congruent.

True or false

Answers

We conclude that the triangles are congruent, so the statement is true.

Are the two triangles congruent?

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

If you want to learn more about congruent figures:

https://brainly.com/question/1675117

#SPJ5

Im trying to procrastinate so if you would please help me speed up th process. I have like 20 minutes

Answers

Answer:

1/3=0.33 barred(the threes go on infinitly)

1/6=16666 barred(the sixes go on infinitly)

1/6 as a percent is 16.66% barred(the sixes go on infinitly)

Hope This Helps!!!

Answer:

A. 0.17 (rounded)

B. 16.7%

Step-by-step explanation:

How can i answer this question

Answers

Answer: 10g+6h+8

So none of the above I think

Step-by-step explanation:

Answer:

It should be C none of the above

Ayuda por favor, no entiendo

Answers

I don’t speak Spanish and your picture is blurry so sorry if I misread the numbers.
4^3*4^5*4=4^9 D
(3^3)^2=3^6 C
(a^3)^4*(a^2)^7=a^26 A
(2*3)^2=6^2=36 A
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