UT is the midsection of triangle QRP. If UT= x+9 and QP=4x-27, what is the length of QP?

UT Is The Midsection Of Triangle QRP. If UT= X+9 And QP=4x-27, What Is The Length Of QP?

Answers

Answer 1

Answer:

Step-by-step explanation:

4x - 27 = 2(x + 9)

2x = 27 + 18

x = 45 ÷ 2 = 22.5

QP = 4(22.5) - 27 = 63 units


Related Questions

20% discount of a grand total of $35.26

Answers

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar. Theorem: If two triangles are similar, the corresponding sides are in proportion. Figure shows triangle PQR with right angle at Q. Segment PQ is 4 and segment QR is 9. Point S is on segment PR and angles QSP a Using the given theorem, which two statements help to prove that if segment PR is x, then x2 = 97? (1 point) Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 36 Segment PR ⋅ segment PS = 36 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 81 Segment PR ⋅ segment SR = 16

Answers

The two statements that help to prove that if segment PR is x, then x² = 97 are:

Segment PR • segment SR = 81Segment PR • segment SR = 16

What is a segment?

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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Mr. Reed has 114 students. He gives each student ¼ pound of candy in their Halloween bag. How many pounds of candy does he need to buy?

Answers

Answer:

hewo

Step-by-step explanation:

well you need to multiply 1/4*114 and that should give you your answer

which would be 28.5

Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()

Answers

Answer:

C

=

C

'

81

2

ln

9

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Camila was looking at the architect's blueprint of her house. The scale on the blueprint is shown below the blueprint on the left. What is the PERIMETER on the blueprint if the actual dimensions of her bedroom are 10 feet by 16 feet.
1/4 inch = 1 foot

Answers

Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

The auxiliary equation for the given differential equation has complex roots. Find a general solution.

y''-4y' +7y =0

Answers

Answer:

y = Ae^2xcos√3 x + Be^2xsin√3 x

Step-by-step explanation:

Given the differential equation

y''-4y' +7y =0

Let my = y' and m²y =y''

The auxiliary equation is expressed as;

m²y - 4my +7y = 0

(m²-4m+7)y =0

Divide through by y;

m²-4m+7= 0

Factorize the auxiliary equation

m = 4±√16-4(7)/2

m = 4±√-12/2

m = 4±2√3 i/2

m = 2+√3i

From the complex number a = 2(real part)

b = √3 (imaginary part)

Substitute into the general solution

y = Ae^axcosbx + Be^axsinbx

y = Ae^2xcos√3 x + Be^2xsin√3 x

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey.

How many pounds of turkey will you need to buy?

Answers

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

What is a slope, because i don't know

Answers

Answer:

The slope of a line is a measure of its steepness. In math, slope is calculated as "rise over run" (change in y divided by change in x).

A basketball player made 77 out of 100 attempted free throws. What percentage of free throws was made?
The player made____% of the free throws attempted.

Answers

Answer:

77%

Step-by-step explanation:

the anwser would be 77% of the throws were made

HELPPP ME!!! ASAP
PLZZZZZZZZZZ

Answers

ANSWER:i think its C

Step-by-step explanation:

A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 55°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.)

Answers

The kite is approximately 345 feet above the ground.

The height of the kite above the ground is 287 ft

The length of the string, the height of the kite (h) above ground and the perpendicular distance from the end of the kite string to the man forms a right angled triangle.

Trigonometric shows the relationship between the lengths and angles of a right angled triangle.

Therefore using trigonometric ratios:

sin(55) = h / 350

h = 287 ft

Therefore the height of the kite above the ground is 287 ft.

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How many groups of 2/3 are in 3/5 a 915 B 9/10 C 1 1/3 D 1 1/9

Answers

Answer:

aaa

Step-by-step explanation:

35istohhhaaa bla bla nla

Please help me I need to get this right

Answers

Answer:

try the second one on top

Step-by-step explanation:

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cups of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
A.2 1/2
B.3
C.3 1/2
D.5

Answers

Answer: B or 3

Step-by-step explanation:

had this question on my quiz

I need a tutor or someone that’s willing to help ... but can someone pls answer

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

Your slope is 1/2

Step-by-step explanation:

Slope is rise over run or m=rise/run rise being the Y value and X being the run value. You can count the grid on the graph provided.

rise= 1

run= 2

The total amount y (in dollars) in your savings account after buying x video games is represented by y= 90-10x. You have $40 in your account after buying video games. How many video games did you buy?

Answers

5 video games bought.

Explanation:

Step one) identify all variables.

> y = money in bank acc AFTER buying (x) video games.

Step two) y = $40

Step three) substitute

> 40 = 90 - 10x.

Step Four) solve for x

> subtract 90 both sides.

-50 = -10x

DIVIDE by -10 on both sides ( to isolated x)

This equals 5 = x

x is number of video games bought meaning >> 5 video games bought

*sings body by Megan Thee Stallion*

This exact same question has been asked a few times, but I’m finding several different answers. Could someone please clarify.

Thank you in advance.

Answers

Answer:

The last one (D)

Step-by-step explanation:

Jonathan would have to check how much he's paid off after each of the months which means he would need to subtract that from total amount of money that he's pay for the new computer

The correct answer is D) Y= 1,728-96x

Water flows through a pipe at a rate of 2 fluid ounces per second. Express this rate of flow in quarts per minute.

Answers

Answer:

Step-by-step explanation:

3.75

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Water flows through a pipe at a rate of 2 fluid ounces per second.

2 ounces = 0.0625 quarts

And 1 second = 0.0166667 minutes

So, water flows through a pipe at a rate of 0.0625 quarts per 0.0166667 minutes.

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

Therefore, the rate is  3.75 fluid quarts per minute.

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ANSWER THE QUESTION PLEASE & THANK YOU ! Show that the equation y +2 = 2(3x + 1) is linear and that it represents a proportional relationship
between x and y.
Part 1 out of 4
y +2=2(3x + 1)
y +2=
JX +
✓ Check
Next

Answers

Answer:

y+2=6x+2

Step-by-step explanation:

[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]

Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y

Find the image of (8,0) after a rotation of 90° about the origin.

Answers

Answer:

(0,8)

Step-by-step explanation:

this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect

what is the answer of this 4:3=a:6

Answers

Answer:

a = 8

Step-by-step explanation:

4 : 3 = a : 6

[tex]\frac{4}{3} = \frac{a}{6}[/tex]

Cross multiply

4*6 = a * 3

[tex]\frac{4*6}{3}=a[/tex]

a = 4 * 2

a = 8

What is the slope of the line whose equation is y-4={(x-2)?
у
-6
5
4
(2,4)
8
N
х
5 -5 -4 -3 -2 -21
2 3 4 5 6
(0, -1)
1

Answers

Answer:

1

Step-by-step explanation:

coefficient if x term is 1

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of line is,

⇒ y - 4 = x - 2

Now, We can simplify for slope as;

⇒ y - 4 = x - 2

⇒ y = x + 2

⇒ dy/dx = 1

⇒ m = 1

Thus, The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

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The average age of 40 students of a class is 15 years. An 18 year-old student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.

Answers

Answer:

Answer:age of new student is 13.4 years

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Hope it will help you

Please mark as brainliest answer

the sudent age is 13.4

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

-1 < 4x + 3 < 7
solve for x

Answers

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144. What is the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers if the claim is true?

Answers

Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

Find the area of the trapezoidal shown

Answers

Answer:

may you show us the pic so we can help?

Step-by-step explanation:

0 of 1
Does the equation 94=1227
9
4
=
12
27
represent a proportional relationship? Why or why not?

Select the option that correctly answers both questions.

Yes, it is proportional because 94=1227.
9
4
=
12
27
.
No, it is not proportional because 94≠1227.
9
4

12
27
.
Yes, it is proportional because 94≠1227.
9
4

12
27
.
No, it is not proportional because 94=1227.

Answers

Answer:

its 9 4 = 12 27

Step-by-step explanation:

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card

Answers

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

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Given John's data collection method and findings, what conclusion can be made?
OA.
Only the claim for vehicle B is true because more people agree with their claim.
OB. Neither of the claims are correct.
Ос.
Both SUV manufacturers' claims are true, but the turning radius of vehicle B is sharper than the turning radius of vehicle A.
Only the claim for vehicle A is true because 11 out of 15 people agree with their claim.
OD

Answers

Answer:

b

Step-by-step explanation:

edg2020

OB Neither of the claims are correct

what is 3/4 ÷ 1/6 hlp​

Answers

Answer:

The answer is 4.5

Step-by-step explanation:

.caculator.....hehe

Answer:

4.5

Step-by-step explanation:

If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.

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