If QR=x+29 and PS=x–16, what is the value of x?

If QR=x+29 And PS=x16, What Is The Value Of X?

Answers

Answer 1

Answer:

  61

Step-by-step explanation:

PS is a midsegment of the triangle, so is half the length of the parallel base segment.

  2PS = QR

  2(x -16) = x +29 . . . . . substitute given expressions

  2x -32 = x +29 . . . . . eliminate parentheses

  x = 61 . . . . . . . . . . . . add 32-x


Related Questions

Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?

Answers

Answer:

2 for 25

Step-by-step explanation:

all you have to do is divide money by the number of items.

please help ill give pointssssss

Answers

Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.

What is the value of n?

The value of n can be found by making n the subject of the formula as shown below;

27π = πn

n = 27π / π

Solving of n therefore gives:

n = 27π/π

n = 27

In conclusion, n is 27.

Find out more on finding terms at https://brainly.com/question/25827678.

How do I solve the area for the shapes?

Answers

Answer:

shaded: 45 units²non-shaded: 36 units²total area: 81 units²

Step-by-step explanation:

A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.

For a problem like this, working the last question first can make it easier.

Total

The total area is the area of a square 6+3 = 9 units on a side. Its area is ...

  Total area = s² = (9 units)² = 81 units²

__

Non-shaded

The area of each of the four non-shaded triangles is ...

  A = 1/2bh = 1/2(6 units)(3 units) = 9 units²

There are 4 triangles with that area that are not shaded, so ...

  Non-shaded region = 4 × (9 units²) = 36 units²

__

Shaded

The shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...

  Shaded area = Total area - Non-shaded area

  Shaded area = 81 units² -36 units² = 45 units²

The lines represented by the equations y x = 2 and y = x
2 are


Answers

Answer: Parallel

Step-by-step explanation:

Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
.​

Answers

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]

Mr. Goldsman runs on the elliptical for 12 minutes for every 5 minutes that Kirby runs (he's not as athletic as Mr. Goldsman). If Mr. Goldsman runs for one and a half hours, how long did Kirby run?
Hint: Make sure all of your times are in minutes!!!!

Answers

If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.

How many minutes did Kirby run for?

The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs

Rate = 5/12

The second step is to multiply the rate by the minutes run by Mr Goldsman.

5/12 x 90 = 37.5

= 37 minutes 30 seconds

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

What classification is the following expression?

Answers

Answer:

Types of algebraic expressions may further be distinguished in the following five categories. They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Step-by-step explanation:

1+1=2

How do you calculate the diameter of a circle​

Answers

Answer:

diameter is twice the radius ( when given)

Find the equation of a line that passes through the point (1,-4) and has a gradient of 2. Leave your answer in the form y = m x + c

Answers

Answer:

Step-by-step explanation:

(1,-4) m=2

first find c

-4=2×1+c

c=-6

y=2x+-6

$1200 at 12% for 3 years

Answers

Answer:

$1,689.

Step-by-step explanation:

Answer:

If this is compound interest and it is compouned annually,the answer is $1,685.91

If this is simple interest, the answer is $1,632.00

Step-by-step explanation:

Equation for compound interest.

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]

[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]

[tex]A=1685.91[/tex]

Equation for simple interest.

[tex]A=P(1+r*t)[/tex]

[tex]A=1200(1+0.08*3)[/tex]

[tex]A=1632.00[/tex]

If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.

Answers

120 kids went on the field trip
85 + 35 = 120

Which term BEST describes 11 in the data set?

32, 29, 30, 35, 31, 34, 11

A.mean
B.media
C.mode
D.outlier

Answers

Answer:

Choice D.

Outlier

I think it is d because the others don’t match

Can you do this for me pls

Answers

[tex]\frac{x}{y}[/tex]Answer:

Step-by-step explanation:

algebraic thingking: (going from up to down)

1. 30 2. 28 3. 9 4. 20

base ten numbers(up to down)

1. 4.6  2. 46  3.  460 4. 4600

( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)

fractions

1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]

measurment and data

take a better picture of the number line because i cant see the numbres on it:(

geometery

1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.

2.  No, not always.

Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.

find the surface area of the cube (above) using its net (below).

Answers

Answer:

[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]


The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=

Answers

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5

How do function models help us to understand the world?

Answers

Answer:

mathematical represents alot of stuff in the really world

Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

C

Step-by-step explanation:

4

_

2 can be multiple by 3 and that will be same as 12

_

6

Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime

Answers

probably A the correct question good luck!

A little confused can I get some help?

Answers

Answer:

Step-by-step explanation:

4+(7-5)2= 8 I guess

Evaluate the following, if a=7, b=3, c=2

what is a2 ( two is a exponet )-5bc-1
please hurry.
i'll give you 70 points!

Answers

Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

18

Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget

Answers

Answer:

56 + 5xx < 65

xx < 1.8

Step-by-step explanation:

56 + 5xx < 65


subtract 56 on both sides

56 + 5xx < 65

-56 -56

5xx < 9


divide by 5 on both sides


5xx/5 < 9/5

xx < 1.8 gigabytes

What is the probability that a student chosen randomly from the class is a male who does not have an A?

Answers

Answer:

6/19

Step-by-step explanation:

2+4+7+6=19

dose not have an a=6

6/19

HALP PLSSSSSSSS will give brainliset

Answers

Answer:

ezz multiply and see what it s if its wrong then txt me

Step-by-step explanation:

if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)

Answers

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26

Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?

Answers

Answer:

10.50$

Step-by-step explanation:

3 dollars a pound

3x3=9

half a pound, half the price which is 1.50$

9+1.50= 10.50

Answer:

$10.465 ≈ $10.47

Step-by-step explanation:

3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47

Please mark as brainliest.

A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox

Answers

The number of cubes that will fit into the shoebox is 40 cubes

How to calculate the volume of a box

Volume is the measure of a substance an object contains

Volume of the box = length * width * height

Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit

Determine the volume of the box

Volume of the box = l³

Volume of the box = (1/4)³ = 1/64 cubic units

Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes

Hence the number of cubes that will fit into the shoebox is 40 cubes

Learn more volume of cube here: https://brainly.com/question/1972490

the education foundation hosted an anual fundrasing dinner. there were 192 tickets printed for the dinner and each dinner ticket cost $12.50. if 3/4 of the dinner tickets were sold, how much money was rasied frome the dinner ticket sales?

Answers

Answer:

Step-by-step explanation:

Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?

Answers

Answer:

J

Step-by-step explanation:

Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.

[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]

Let the length of the ramp be x.

[tex] \sin5° = \frac{3}{x} [/tex]

Multiply x on both sides:

x(sin5°)= 3

[tex]x = \frac{3}{ \sin5°} [/tex]

x= 34.4 (3 s.f.)

Thus, the length of the ramp is 34 ft. (nearest foot)

(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)

Answers

it’s the third one :)))))

I NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8

Answers

Answer:

C

Step-by-step explanation:

Volume = bhd

Volume = (x + 3)(x + 8)(x²)

start with (x + 3) and (x + 8), factor:

x² + 8x + 3x + 24

x² + 11x + 24

now bring x² back:

(x² + 11x + 24)(x²)

x⁴ + 11x³ + 24x²

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