Quadrilateral RSTU is a rectangle, RT=a+34, and SU=2a. What is the value of a?

Answers

Answer 1

The value of a in the given quadrilateral RSTU is 0

Given that Quadrilateral RSTU is a rectangle,

RT = a + 34, and SU = 2a.

To find the value of a, we need to use the property of a rectangle, which states that opposite sides are equal.

Therefore, RS = TU and RU = ST.

Using the given information, we can write the following equations:

RS = TU (opposite sides of a rectangle are equal)

RT + TU = RU + ST (the sum of opposite sides of a rectangle are equal)

From the second equation, we can substitute the values of RT and TU:

RT + TU = a + 34 + 2a = 3a + 34

RU + ST = RS = 2(RT) = 2(a + 34)

Now, equating these two expressions:

3a + 34 = 2(a + 34)

Simplifying the equation, we get:

a + 34 = 34

Therefore, a = 0

Substituting the value of a in RT = a + 34, we get RT = 34, and substituting the value of a in SU = 2a, we get SU = 0.

The value of a is 0.

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Related Questions

hakim wrote an equation to represent the number of meters he would run for each kilometer, k, in a long distance race.W hat is the value of k if 1,000k =0?​

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k=500 because of the kilometer

what type of polygon is this​

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Answer:

enneagon

Step-by-step explanation:

Nonagon :) that’s bc of the nine sides in the polygon

Which are the partial products for 8x362? Select all that apply.

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Answer:

Are you guys classmates?

IS THIS RIGHT? PLS HELP

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Step-by-step explanation:

yes your answer is absolutely correct ..the value of x comes out to be -1 and 7 ..

A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building casts a shadow that is 26 m long. What is the height of the building?

Answers

Answer:

kmjuhygtfcv nm,kljihuygbv njmihuygb

Step-by-step explanation:

The height of the office building is 65 meter.

What s proportionality in mathematics?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.

The shadow  of a 25 m tall flagpole casts is = 10 m.

Let  the height of the office  building = x m.

The  shadow  of a x m tall office  building is = 26 m.

From theory of directly  proportionality:

25 : 10 = x : 26

25/10 = x/26

x = (25/10)×26 = 65

Hence,  the height of the office building is 65 meter.

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Please hurry I need help with this

Answers

answer is 2700 cubic feet. volume is base times width times height. so do the volume of the bigger square first to get 2420. and then the smaller one to get 280. then add them together to get 2700

6th grade math plz help me
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.




The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answers

Answer:

The mode, which is 7, is not a typical distance for the data. The median, which is 3.5, is not a typical distance for the data. The mean, which is 4, is a typical distance for the data. So, Grace’s reasoning is not correct.

How tall is a stack of 10 chairs?

5 chairs are 51 inches

3 chairs are 45 inches

8 chairs are 60 inches

Answers

Answer:

10 chairs are 102 inches

Step-by-step explanation:

Beacause 5 chairs are 51 so the double of chairs will be 102 inches

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer(5,6)

Step-by-step explanation:

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

  1/3(3) + 11 = 12 . . . substitute for x and y

  1 + 11 = 12 . . . . . . . true

Any point that satisfies the equation is a solution. (3, 11) is a solution.

need helpppppp
plz and thank u

Answers

5-1/10

Step-by-step explanation:

4-1/2+3/5=

9/2 + 3/5=

45/10+6/10=51/10=5-1/10

Kim got 82%, 75%, and 74% on the first 3 tests.
What grade does she need on the 4th test to have an average of 80% on all 4 tests?
A. 77%
B. 80%
O c. 85%
D. 89%
E. 100%

Answers

Answer:

C

Step-by-step explanation:

Add all percentages together, then divide by how many you added.

Answer:

C

Step-by-step explanation:

Judy made 3 pans of brownies for her friends. She cut each pan into 8 equal pieces. Her friends ate 20/8 of the brownies. What fraction of the brownies are left?

Answers

Answer:

13/6

Step-by-step explanation: 8 pieces in 3 pan give us a total of 8/24, then minus 20/8. The writing of this equation is:

20/8- 8/24 or 8/24- 20/8 (both are good)

The common denominator here is 24 since it can divide 8 and divide itself.

Since you have 24 as denominator, you'll have to reconvert the fractions above by diving 24 by their previous denominator and multiply it by their numerator:

(24/8) × 20= 60 (numerator of the 1st fraction)

(24/24) × 8=  8 (numerator of the 2nd fraction)

The new fractions are then

60/24 - 8/24= 52/24

We could stop there but since we could find an irrational fraction as an answer, why not do it

52/24 (both divided by 2)= 26/12

26/12 can still be divided so we keep going

26/12 (both divided by 2) = 13/6

13 is a prime number and therefore can be divided only by itself, and 6 cannot be divided by 13 without having a decimal answer.

13/6 is the final answer

1.A five - layer of cake weighs half a kilogram per layer.In each layer,the cake is decorated with icing which weighs 15g.3 candles which weighs 100g each is added.What is the total weight in kilogram of the fully decorated cake?​

Answers

Answer:  2.815 kilograms

======================================================

Work Shown:

1 layer = 0.5 kg

5 layers = 5*(0.5 kg) = 2.5 kg

icing = 15 g = 15/1000 = 0.015 kg

1 candle = 100 g = 100/1000 = 0.1 kg

3 candles = 3*(0.1 kg) = 0.3 kg

------------------------

The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.

The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms

A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

 Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

= 8.8kg- 2.2kg

= 6.6kg

Guy please help me out so this is the question 3.  Last Sunday, the temperature at 8:00 a.m. was -3०C.  Between 8:00 a.m and 1:00 p.m., the temperature rose by 5०C.  By 6:00 p.m. the temperature was 2०C colder than it was at 1:00p.m.  Then, the temperature dropped 3०C each hour between 6:00 p.m. to 10:00 p.m.  What was the temperature at 10:00 p.m.? I got the answer -1 is that correct?​

Answers

Answer:

ayuda necesito lo mismo

Step-by-step explanation:

por favor algún voluntario

Answer:

-9C

Step-by-step explanation:

-3+5-2-3(3)=-9C

i think you made a mistake on "it got colder by 2C." If temperatures get colder, they drop, meaning you subtract it.

also, it said between the hours of 6-10pm, which is three hours, the temperature drops each hour by 3C. so, you multiply 3 to -3, and come up with -9

I need help ASAP! I am offering brainiest to whoever answers the question first!

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Answer:

Step-by-step explanation:

1536(4)(4)=24576

Answer:1536(4)(4)=24576

Step-by-step explanation:

The problem is a word problem: The sum of two consecutive odd numbers is 72. find the numbers​

Answers

Answer:

35 and 37

Step-by-step explanation:

consecutive ODD numbers, 35 then 37.. 35+37 = 72

Why are the two triangles congruent?

Answers

Answer:

becuz they look the same, theyre the same shape, AND size.. thats what makes to shapes congruent.

Step-by-step explanation:

Brainliest, pretty please? hee hee

Answer:

All three pairs of corresponding sides are equal, have the same shape and dimensions.

Step-by-step explanation:

when you go to answer this, can someone please give me the steps on how to do it, because I think I'm doing it wrong ​

Answers

Answer:

TUA=123

Step-by-step explanation:

so first we find <TUS in terms of x

so 180-11x-2

178-11x

so now we can use the sum of a triangle's angles which is always 180 to find the angles in triangle TUS

178-11x+5x+10+58=180

178-6x=112

take 178 from both sides

-6x=-66

x=11

so we can do 11x11+2=TUA

TUA=123

List the five ways to determine if two triangles are congruent.

Answers

Answer:

SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...

SAS (side, angle, side) ...

ASA (angle, side, angle) ...

AAS (angle, angle, side) ...

HL (hypotenuse, leg)

Simplify
(x + 3)^8
(x + 3)^5

Answers

Answer:

1. Expand the expression.

x^8+24x^7+252x^6+1512x^5+5670x^4+13608x^3+20412x^2+17496x+6561

2. (x+3)^5

Use the Binomial Theorem.

x^5+5x^4⋅3+10x^3⋅3^2+10x^2⋅3^3+5x⋅3^4+3^5

Simplify each term.

x^5+15x^4+90x^3+270x^2+405x+243

Step-by-step explanation:

hope it is helpful....

Answer:

42x

Step-by-step explanation:

Mario has 160 pizzas and is collecting two pizzas a week. Write the equation for the number of pizzas Mario has

Answers

Answer:

160+2x

Step-by-step explanation:

Answer:

Mario has after 5 weeks 170 pizzas.

Step-by-step explanation:

Each time add to the chart 2 Pizzas and move a week.

Pensé un número, a ese
número le sumé 15 y
obtuve como resultado 27.
¿Cuál es el número que
pensé​

Answers

Answer:

si es suma tiene que ser 12+15=27

Find the quotient of 3 2/5 and 3 1/6 . Express your answer in simplest form.
1 5/12
95/102
1 7/95
10 23/30

Answers

Answer:

1 7/95

Step-by-step explanation:

convert the fractions into improper fractions

3 2/5 = 17/5

3 1/6 = 19/6

[tex]\frac{17}{5}[/tex] divided by [tex]\frac{19}{6}[/tex] - invert second term and multiply

so 17 * 6 = 102

5* 19 = 95

answer is 102/95, or 1 7/95

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600.

Answers

Answer:

Step-by-step explanation:

The net profit of the marketplace is the difference between the revenue and the expenses. The revenue is the product of number of kilograms sold and the price per kilogram.

                           Profit  = Revenue - Expenses

                           600 = 120x - 300

The value of x from the equation is 7.5. The answer therefore for the first question is $7.5. Then, the number of kilogram of cumin she needs to sell to cover the expenses is $300/$7.5 and that is equal to 40.

Pls help me this is due in 10 mins

Answers

3. .6 and 60%
4. 0.625 and 5/8
5.6/25 and 24%
6. .62 and 62%

8.40
9.9
10.60
11.70

The table shows the balance of an account each year.

Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account? What is the balance after 10 years?

Answers

Answer:

The interest rate is $2, the balance after 10 years will be $60.

Step-by-step explanation:

Each year the balance of the account increases by $2, so that would be the interest rate. After 10 years, the account will have 40 + 2 * 10 which equals $60.

Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About


pls help i suck at math​

Answers

Answer:

d

Step-by-step explanation:

B. it’s not D because (-11,0) is along the x-axis not the y-axis.

0.7x-y=5.16 and 2-0.8x=0.4y round to the nearest hundredth? does anyone know this answer?

Answers

Step-by-step explanation:

What is the question? You have not stated the question.

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