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

Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. when buying groceries one day with a

budget of $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have 150

calories each. the bananas cost $0. 35 each and the granola bars cost $2. 50 each.

Answers

90b + 150g > 500

0.35b + 2.50g < 15.00

what, is the question asking. These might help

PLEASE HELP AS SOON AS EVER I NOYL HAVE 5 MINS WILL GIVE BRAINLY!

Answers

Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

Make x the subject a(x-a)=a^2

Answers

Answer:

x = 2a

Step-by-step explanation:

a(x - a) = a² ( divide both sides by a )

x - a = a ( add a to both sides )

x = 2a

Answer:

x = 2a

Step-by-step explanation:

Given equation

[tex]\sf a(x-a)=a^2[/tex]

Make x the subject

expand brackets:

[tex]\sf \implies ax-a^2=a^2[/tex]

Add [tex]\sf a^2[/tex] to both sides:

[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]

[tex]\sf \implies ax=2a^2[/tex]

Divide both sides by a:

[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]

[tex]\sf \implies x=2a[/tex]

Final solution

[tex]\sf x=2a[/tex]

Write an equivalent expression to

(x+7)+3y

Answers

Answer:

2x+14+6y

Step-by-step explanation:

find the area of the shape below

Answers

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

In the figure shown, MR←→− is parallel to ST←→. If m∠SPR = 126°, what is m∠PST?

Answers

Answer:

its 54

Step-by-step explanation:

i got it right on time4learning

HELP HELP HELP HELO HELP HELP HELP

Answers

This function is Exponential

 

Reason:  Exponential graphs tend to get very big quickly, and though they start out smaller than polynomial functions or vice versa

Hope that helps!

If the radius of a circle is x cm. what is the length of it's circumferences?

Answers

Answer:

44/7x

Step-by-step explanation:

circumference of circle= 2πr

=2×22/7×x

=44/7x

STOP WITH THE LINKS! please? Help? NO LINKS!?????

Answers

Answer:

The answer is 24

just multiply 6 and 4 together

Identify the area of the rhombus.

Answers

Answer:

A=130cm2

Step-by-step explanation:

13x10=130

Find the unknown coordinate for each reflection.
Figure ABCDE is reflected across the y-axis to
form figure A'B'C'D’E

Answers

Answer:

A'=(-3,6)

B'=(-5,5)

C'=(-4,2)

D'=(-2,2)

E'=(-1,4)

Step-by-step explanation:

Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.

Hope this helps!!!

Find the missing side of a right triangle if side a=7 and side b=11.

Answers

Step-by-step explanation:

c² = a² + b²

c² = 7² + 11²

c² = 49 + 121

c² = 170

now u have to square root it

c² = 170

c = 13

How do you find the area of a triangle when given only the lengths of three sides?

Answers

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] s = \dfrac{3 + 4 + 5}{2} [/tex]

[tex] s = 6 [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)} [/tex]

[tex] area = \sqrt{6(3)(2)(1)} [/tex]

[tex] area = \sqrt{36} [/tex]

[tex] area = 6 [/tex]

A survey of 600 people was conducted to find thier favorite book genre. The survey results are shown in the table o the right. Adventure:102, Comedy: 114, Mystery:84, Romance:132
Part A: How many people responed with a genre other than one of the genres listed?
Part B: Develop a complete probabiliy model to describe all possible reasons, including 'other' as one response.
PLEASE HELP ASAP​

Answers

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

How to calculate the probability?

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

Learn more about probability on:

https://brainly.com/question/24756209

Pls help me thank you God bless

Answers

Answer:

8

Step-by-step explanation:

10/3 divided by 5/12

10/3 multiple 12/5

So the 3 and 12 will cross out same as 10 and 5 then we will get 8 as an answer

Not entirely sure….some help please?

Answers

Answer:

55°

Step-by-step explanation:

The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:

[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

Now that you know what x is equal to, plug it into angle A's equation.

[tex]3(5)+40\\15+40\\55[/tex]

Angle A is equal to 55°

Solid A and Solid B are similar. The surface area of Solid A is 675 m² and the surface area of
Solid B is 432 m2. If the volume of Solid B is 960 m3, find the volume of Solid A.

Answers

The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.

What is the Surface Area and Volume of Similar Shapes?

If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:

Surface area of solid A/Surface area of solid B = a²/b²

Volume of solid A/Volume of solid B = a³/b³

Given that solid A and solid B are similar, and:

Surface area of solid A = 675 m²Surface area of solid B = 432 m²Volume of solid B = 960 m³.

Find their corresponding dimensions, a and b:

Surface area of solid A/Surface area of solid B = a²/b²

Substitute

675/432 = a²/b²

√(675/432) = a/b

1.25 = a/b

Scale factor of Solid A to Solid B is 1.25.

Multiply 1.25 by 960 to get the volume of solid A.

Volume of solid A = 960 × 1.25 = 1,200 m³.

Learn more about area and volume of similar shapes on:

https://brainly.com/question/12580764

A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4

Answers

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.

Answers

The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.

Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Learn more about area of a composite figure here:
https://brainly.com/question/10254615

Answer:

d

Step-by-step explanation:

i just finished the test

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.90. Today they made $78.60 from the 57 wraps sold. How many of the wraps so ld were vegetarian?

Answers

around 32
explanation: to be honest i estimated this answer because i need more points for my work

What is the slope of a line that is perpendicular to line m ?

Answers

Answer:

b) -b/a

Step-by-step explanation:

Slopes of perpendicular lines are negative reciprocals. That means to flip the fraction and change the sign. :-)

A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What is the length of one of the legs?

square root of two.

3.5
seven times the square root of two.

7

Answers

The length of one of the legs  of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.

What is an Isosceles triangle?

Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.

The  isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.

Therefore,

hypotenuse = 7(√2)

let the length of the other legs = x

Therefore, using Pythagoras theorem

c² = a² + b²

(7(√2))² = x² + x²

49 × 2 = 2x²

98 = 2x²

x² = 98 / 2

x = √49

x = 7 units

learn more on isosceles triangle here: https://brainly.com/question/10412877

Do u guys have apps for solving geometry/ triangle problems????

Answers

This is the best I could find

Some recommended apps for solving geometry and triangle problems are "Ge oGebra," "De smos Geometry," and "Ma thway."

Ge oGebra: Ge oGebra is a versatile mathematics app that covers various topics, including geometry and triangles. It provides interactive tools for constructing and analyzing geometric shapes, making it a valuable resource for visualizing and understanding different properties and theorems related to triangles.

De smos Geometry: While De smos is primarily known for its graphing capabilities, the De smos Geometry app also offers tools for creating and manipulating geometric shapes, including triangles. It can help users explore and solve various triangle-related problems.

M athway: M athway is a comprehensive math problem-solving app that covers a wide range of topics, including geometry and triangles. Users can input specific problems, and the app provides step-by-step solutions, making it a helpful tool for both learning and verifying answers to geometry and triangle problems.

To know more about geometry, click here.

https://brainly.com/question/16836548

#SPJ2

------------The given question is incomplete, the complete question is:

"What are some recommended apps for solving geometry and triangle problems?"-------------

Linear relationships are important to understand because they are common in the world around you. For example, all rates and ratios are linear relationships. Miles per gallon is a common rate used to describe the number of miles a car can travel on one gallon of gasoline. Dollars per gallon, or the price of gas, is a linear relationship as well. What other relationships can you think of that are linear? How do they affect your everyday life?

Answers

Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.

Other examples of linear relationships?

Two examples of linear relationships that are useful are:

Changes of units:

These ones are used to change between units that measure the same thing. For example, between kilometers and meters.

We know that:

1km = 1000m

So if we have a distance in kilometers x, the distance in meters y is given by:

y = 1000*x

This is a linear relationship.

Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:

y = a*x

This is a linear relationship.

So linear relationships appear a lot in our life, and is really important to learn how to work with them.

If you want to learn more about linear relationships, you can read:

https://brainly.com/question/4025726

Simplify −4(x+1)+6x . Write your answer in factored form.

Answers

Answer:

2(x - 2)

Step-by-step explanation:

- 4(x + 1) + 6x ← distribute parenthesis by - 4

= - 4x - 4 + 6x ← collect like terms

= 2x - 4 ← factor out 2 from each term

= 2(x - 2)

hello!

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

Let's simplify this expression.

The first step is to use the distributive property, which states:-

[tex]\bigstar{\boxed{a(b+c)}[/tex]

Simplify:-

[tex]\bigstar{\boxed{-4(x+1)}[/tex]

[tex]\longmapsto\sf{-4x-4}[/tex]

Add 6x:-

[tex]\longmapsto\sf{-4x+6x-4}[/tex]

Combine Like Terms:-

[tex]\longmapsto\sf{2x-4}[/tex]

Now, we should write our answer in factored form, so we factor 2 out:-

[tex]\longmapsto\sf{2(x-2)}[/tex]

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

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

PointM is the midpoint of AB. if the coordinates of A are (6,-4) and the coordinates of M are (4,2), what are the coordinates of B?

Answers

Ok here is the fastest way to do this:

Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.

Subtract x-value of M from x-value of A: 6 - 4 = 2

We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2

Notice that of the choices below, only one answer has the x-value of 2.

B

Candice is putting together a business outfit. There are 6 pairs of pants and 2 dress shirts to choose from. How many different outfits can Candice put together?

Answers

……..Answer is 12……..

Given that x is an acute angle and cos x=2√5÷5,find without using mathematical tables or a calculator , tan(90-x)°.​

Answers

Answer: 2

Step-by-step explanation:

What is the difference between a metric and a norm?

Answers

Answer:

A norm and a metric are two different things.  .

Step-by-step explanation:

The norm is measuring the size of something, and the metric is measuring the distance between two things. A metric can be defined on any set . It is simply a function which assigns a distance (i.e. a non-negative real number) to any two elements .

The major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

What is measurement?

It is defined as the numerical quantity that gives an idea about an object's size, length, width, and many more. It can be used to compare two objects.

The major difference between metrics and norms is as follows:

A metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.Metrics may be expressed on almost anything, however, a norm can only be defined on vector spaces but since the definition of a norm requires that the things measured by the norm be added and scaled.

Thus, the major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

Learn more about the measurements here:

brainly.com/question/4725561

#SPJ4

Brittany deposited $3,000 in a new account at her bank.

The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.

Compound Interest

Given Data

Principal = $3000Rate = 6%Time = 3 years

A = P + I where

P (principal) = $3,000.00

I (interest) = $573.05

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.06/1)^(1)(3)

A = 3,000.00(1 + 0.06)^(3)

A = $3,573.05

Learn more about compound interest here:

https://brainly.com/question/24924853

Other Questions
What is the slope of the line defined by the equation y = 5x + 3?A) 3/5 B) 5/3 C) 3 D) 5 9x + 7 54x __Solve pls Which of these examples most closely models the greenhouse effect?A. Turning on several fans at once can keep you cool in a heat wave. B. Reinforced windows keep heat inside your house in the winterC. Opening the door lets the air conditioning out in the summerD. Lighting a fire keeps the drafty ski lodge warm when it's snowing. How can i find the answer to this question: simplify (7^5)^3 (iii) ............ characters can be stored in memo field. (a) 50 (b) 64000 (c) 255 (d) 200 what is 8.4 divided by 12? The most important development of the New Stone Age was the ability to communicate.Please select the best answer from the choices providedTF The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle? Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80 Word meaning of gruelling One sign that the economy might be weakening in the 1920s was:. According to the selection from The Future of the Mind, what were the main reasons that Einstein was so successful as a scientist? Choose three options. A. He was the most intelligent scientist of his time. B. He was a gifted mathematician, which is important for a scientist. C. He had the courage to challenge scientific ideas that he felt were wrong. D. He used his imagination to create and test ideas through his "thought pictures." E. He inherited his abilities from his family, which included several great scientists. F. He had the mental focus to spend ten years developing each of his most important theories. G. He conducted experiments in a laboratory with the help of many other talented scientists. On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this? Which of these carbohydrates provide roughage in our food? What is the slope-intercept equation for this line?y = [?]x+ [?] what are the importance of wholesaler in business What happens to the coordinates of a shape when the shape reflects about the x-axis? What happens to thecoordinates when the shape reflects about the y-axls? Explain. Who purchases recycled materials from recycling centers?. What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?Enter your answer in the box.V = cm what value makes 3k 6 < 12 true?