TW is the mid segment of the trapezoid RSUV. If UV equals - Z +15, TW = -4z + 55, and RS = -3z + 43 what is the value of Z?

Answers

Answer 1

Answer:

13

Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with two parallel opposite sides. These parallel sides are known as the bases.

According to the mid segment theorem of a trapezoid, The mid segment of a trapezoid is half the lengths of the two parallel sides.

Given that TW is the mid segment, UV and RS are the parallel bases, hence:

[tex]TW=\frac{UV+RS}{2} \\\\-4z+55=\frac{(-z+15)+(-3z+43)}{2} \\\\-4z+55=\frac{-4z+58}{2} \\\\-8z+110=-4z+58\\\\-4z+8z=110-58\\\\4z=52\\\\z=13[/tex]

TW Is The Mid Segment Of The Trapezoid RSUV. If UV Equals - Z +15, TW = -4z + 55, And RS = -3z + 43 What

Related Questions

Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.​

Answers

Answer:

Initial value is (0 , 24) or just y = 24

Step-by-step explanation:

Initial value of a linear function is the y intercept

y = -3x + 24

x = 0, y = 24

Find the distance between these two points (5,9) and (-7,-7)

Answers

Answer:

20

Step-by-step explanation:

Use the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-7 - 5)^2 + (-7 - 9)^2}\\d = \sqrt{(-12)^2 + (-16)^2}\\d = \sqrt{144 + 256}\\d = \sqrt{400} = 20[/tex]

The distance between the points (5,9) and (-7,-7) will be 20 units.

What is the distance between two points?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²  

The points are given below.

(5,9) and (-7,-7)

Then the distance between the points will be

D² = (5 + 7)² + (9 + 7)²  

D² = 12² + 16²  

D² = 144 + 256

D² = 400

D = 20 units

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

Please Help!! Brainliest Answer! Thank you!

Answers

Answer: the answer is x=4 so its option D

Step-by-step explanation:

i first set up a equation which looks like:

8x-12=20

then i have added 12 both sides so 20+12= 32 now im

left with: 8x=32

Now we divide so 32/8= 4

which why x=4

(please mark it brainlest if you found it helpful)

PLEASE HELP QUICKLY!! The sum of two numbers is 12. Their product is 2. What are the two numbers?

Answers

Answer:

the answer is six and two

Please help!! 20 points

Answers

Answer:

i believe it would be 16.

Step-by-step explanation:

Answer:

Answer is x = 14.665 which rounded off is 14.67

All I did was Cos 39 = x / 55

0.26664293236 = x / 55

0.26664293236 × 55 = x

x = 14.665

x = 14.67

A model of a skyscraper was made by an architect. the model was 15 inches high. if the architect used a scale of 2 inches representing 160 feet what would be the actual height of the building

Answers

Answer:

1200 feet

Step-by-step explanation:

A scale is a representative faction which can be used to either increase or decrease the size or dimensions of an object.

scale = [tex]\frac{model height}{actual height}[/tex]

[tex]\frac{2inches}{160 feet}[/tex] = [tex]\frac{15 inches}{actual height}[/tex]

actual height = [tex]\frac{15 *160}{2}[/tex]

                      = [tex]\frac{2400feet}{2}[/tex]

                      = 1200

actual height = 1200 feet

The actual height of the skyscraper is 1200 feet.

3. Is this data linear or nonlinear? Explain how you know.*

Answers

Answer:

Non-linear

Step-by-step explanation:

Not consistently increasing

PLEASE HELP ME WITH THIS I FINSIH MY QUARTER TONIGHT FOR SCHOOL AND I NEED TO GET THIS DONE!! Austin and his children went to the grocerie store and bought 14$ worth of apples and peaches. Each Apple costs 1$ and each peach cost 2$ he bought a total of 9 apples and peaches all together. Graphically solve a system of equations to determine the number of x, apples and y, peaches

Answers

Answer:

[tex]1a+2p=14\\a+p=9\\\\a=4\\p=5[/tex]

Step-by-step explanation:

[tex]1a+2p=14\\a+p=9\\\\a+p=9\\a=9-p\\\\1(9-p)+2p=14\\9-p+2p=14\\9+p=14\\p=5\\\\a=9-(5)\\a=4[/tex]

Graphing:

Slope intercept form y=mx+b

a is y, p is x

y=-2x+14

y=-x+9

Intercept at (5,4)

Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?

Answers

Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.

AWNSERS:$10.50

Answer:

Step-by-step explanation: 39.90 x 3.8 = 151.62

Rewrite the expression as the product of two factors.
26b-13

Answers

Answer:

13(2b-1)

Step-by-step explanation:

Both have the factor 13.

13(2b-1)

How to add/subtract like radical expressions?​

[tex] \sf{in \: your \: own \: words \: please}[/tex]​

Answers

9514 1404 393

Explanation:

"Like" radicals can be added and subtracted in the same way any like terms can be combined. It can be helpful to simplify the radical as much as possible so that it can be seen whether the radicals are "like" or not.

Examples:

  √2 +√3 . . . . cannot be combined

  √2 +√8 = √2 +2√2 = 3√2 . . . . the simplified radicals can be combined

PLS HELP ME WITH THIS PLS

Answers

Answer: $0.50 per pound of bananas

Step-by-step explanation:

Take the total price of five pounds of bananas ($2.50) and divide them

2.50/5

You will get

$0.50

The cargo area of a truck is ink 1/2 feet long 6 ft wide and 10 1/2 ft High the volume of the cargo area is what cubic feet

Answers

Answer:

31 1/2 ft^3

Step-by-step explanation:

volume = length x breadth x height

1/2 x 6 x 10 1/2

1/2 x 6 x 21/2 = 63/2 = 31 1/2 feet³

1, Find the value of a in the following equation 3a=24.

Answers

the answer to your question would be a = 8

What is the simplified version of
6(m - 2m) - (4m - 5m) ?

Answers

Answer:

-5m

Step-by-step explanation:

6m-12m-4m+5m

-6m+1m

=-5m

12 ^ x = 205 in logarithmic form

Answers

Answer:

x=2.142137

Step-by-step explanation:

Solve Exponent.

12x=205

log(12x)=log(205)(Take log of both sides)

x*(log(12))=log(205)

x=

log(205)

log(12)

x=2.142137

Arrange the numbers in descending order 374430,802343,980377 and 230392,650863,364321​

Answers

descending is greatest to least
980377,802343,650863,374430,364321,230392

3 quarts of oil costs $2.67. How much would 7 quarts of oil cost?​

Answers

2.67 x 7 that will be the answer

Please help!!!!!!!!!!! Will give brainlist

Answers

Answer:

0.2

Step-by-step explanation:

When you have a decimal problem you add a 0 before the number. But if its a fraction ike 4 5/8 the decimal would be 4.58.

It’s due tonight help please

Answers

Answer:

:)

Step-by-step explanation:

A) 4,4

B) 2,2

C) 4,3

Hope this helps


​Which city had the highest temperature?




​Which city had the lowest temperature?




​Which city had a temperature greater than Oakland?




​What was the difference in temperature between Detroit and Oakland?

degrees Celsius.

Answers

1.Scottsdale
2.st Louis
3. Scottsdale
4. -41
1. Scottsdale
2. Detroit
3.Scottsdale
4.23

A savings account increases from ​$300 to ​$309. What is the percent increase of the savings​ account?

Answers

Answer:

9 percent

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

1st Method: Increase Formula = (Last value-first value)/(first value)

Increase = (309-300)/300 = 9/300 = 3/100

= 0.03 or 3%

2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%

The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.​

Answers

Answer:

your answers will be 3 and 6

Step-by-step explanation:

have a nice day !!^_^

Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?​

Answers

285 dollars for 60 hours of work

Solve 2(x+3)=x-4
What is x?

Answers

Answer:

x=-10

Step-by-step explanation:

[tex]2(x+3)=x-4[/tex]

distributive property on left side:

[tex]2x+6=x-4[/tex]

subtract x from both sides

[tex]x+6=-4[/tex]

subtract 6 from both sides

[tex]x=-10[/tex]

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

Distribute (multiply everything in parenthesis):

2x+6=x-4

Subtract -x from both sides

X+6=-4

Subtract 6 from from both sides:

X=-10

A pet store has a special offer this weekend. For every 120 dollors that customers spend, the store will donate 3 dollors to a pet rescue program. How much do customers have to spead in order to raise 1000 for the pet rescue program

Answers

Answer:

40,000

Step-by-step explanation:

The computation of the amount spend by the customers is shown below:

For every 120 dollars will donate $3 dollars

Now for 1,000 it would spend

= 1000 × 120 ÷ 3

= 40,000

Find the missing measurements of the right triangle. Round your answers to the
nearest tenth if necessary.
You can use the calculator below!

Answers

Answer:

m∠B = 63°

AB = 26.4

AC = 23.6

Step-by-step explanation:

m∠B = 90 - 27 = 63°

Sin 27 = 12/AB

AB (sin 27) = 12

AB = 12/sin 27 = 26.4

Tan 27 = 12/AC

AC (tan 27) = 12

AC = 12/tan 27 = 23.6

What's a linear function that has a slope of -3 and a y intercept of -2?

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Y = Mx + b

[slope = m, y-intercept = b]

plug in values:

y = -3x - 2

(P.S. - I saw your last question, sorry people aren't answering. I'll try my best to answer your questions if you have any others :) )

Without the y provided alongside the slope and y intercept, this problem can not be solved.

Step-by-step explanation:

Helppp. Please give workings too.

Answers

Answer:

The numerical value is 7.

Step-by-step explanation:

If 4 x is 3 y, then 8 x must be 3 x 2, which is obviously 6.

6y + y = 7y

--

7y/y

=7

simplify 125×t-⁴/5-³×625×t-⁸​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}[/tex]

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