1. Triangle QRS has a perimeter of 55. If RT bisects angle R, what is the length of QT?


a. 10

b. 12

c. 15

d. 18

Answers

Answer 1

Answer:

[tex]QT = 10[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 55[/tex]

See attachment for triangle

The perimeter is calculated as:

[tex]Perimeter = QR + RS + QS[/tex]

This gives:

[tex]55 = 3x + 18 + 2x +12[/tex]

Collect like terms

[tex]3x + 2x = 55 - 18 - 12[/tex]

[tex]5x = 25[/tex]

[tex]x = 5[/tex]

From the attachment:

[tex]QT = 2x[/tex]

[tex]QT = 2 * 5[/tex]

[tex]QT = 10[/tex]

1. Triangle QRS Has A Perimeter Of 55. If RT Bisects Angle R, What Is The Length Of QT?a. 10b. 12c. 15d.
Answer 2

Triangle QRS has a perimeter of 55. If RT bisects angle R, then the length of QT is 10 and this can be determined by using the formula of the perimeter of a triangle.

Given :

Triangle QRS has a perimeter of 55.RT bisects angle R.QS = 2x +12QR = 3xRS = 18

The perimeter of the triangle QRS is given by:

Perimeter = QR + RS + QS

55 = QR + RS + QS

Now, put the values of sides QR, RS, and QS in the above equation.

55 = 3x + 18 + 2x + 12

55 = 5x + 30

25 = 5x

x = 5

Now, the length of the QT is given by:

QT = 2x

QT = 10

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Related Questions

Can someone help me with this question please :) (University)

Answers

Answer:

(-5 1 0 0) and (-3 0 1 0)

Step-by-step explanation:

Based on my memory,  you can use the dot product to find orthogonality meaning

u1 . u2 = 0

In this case, we let u be the arbitrary vector represented by (x y z w)

u . (1 5 3 0) can be expressed as an equation given by:

{(x y z w) | x + 5y + 3z  + 0w= 0}

We solve this equation letting y = s and z = t and x = -5s -3t

Reconstruct this according to their variable will give

(-5 1 0 0)s + (-3 0 1 0)t = 0

So the basis vectors are (-5 1 0 0) and (-3 0 1 0).

Let c1 and c2 be arbitrary constants:

if you solve for c1(-5 1 0 0) + c2(-3 0 1 0) = 0

c1 and c2 should have only trivial solution, which proves its

linear independence and so it forms a basis vector space.

A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every trip. Plan B costs a one-
time fee of $41 for parking plus $20 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
O4 visits
O 14 visits
08 visits
07 visits

Answers

Answer:

40+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=7 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

PLEAS HELP

The measures 2^3 , 4, and 2^7 create a right triangle.
True
false

Answers

Answer: true

Step-by-step explanation: they are all equivalent

Answer:

False

Step-by-step explanation:

Find the simplified product where sqrt 5x ( sqrt 8x^2 - 2 sqrt x)

Answers

Answer:

D is your answer

Step-by-step explanation:

Just did it and it was right : )

Also for anyone else who needs the other answers they are as follows:

1. D. [tex]6x^4[/tex]  then  C. [tex]3x^4[/tex]

2. B. [tex]-30x^2 \sqrt{2x}[/tex]  then  C. [tex]4x^4^3 \sqrt{2x^2}[/tex]

3. D. [tex]2x\sqrt{10x} - 2x \sqrt{5}[/tex]

4. B. [tex]32x^2 \sqrt[3]{2x} -8x^3[/tex]

5. A. [tex]-22[/tex]  then  C. [tex]4x^4 \sqrt{5} +2x^2 \sqrt{3x} + 4x^3 \sqrt{30} +6x \sqrt{2x}[/tex]

6. B. [tex]x^\frac{2}{12}* y^\frac{9}{12}[/tex]  then  C. [tex]\sqrt[12]{x^2*y^9}[/tex]

These answers are for!!!!

NC Math 2 -22092x0

Multiplying Radicals

Assignment

Due March 11

Multiplying radicals with like indices.

The solution of the given equation will be 2√5x(√2-1).

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The expression will be solved as below:-

= √5x ( √8x² - 2√x)

= √5x ( 2√2x - 2√x)

= √5x(√2-1)(2√x)

= 2√5x(√2-1).

Therefore the solution of the given equation will be 2√5x(√2-1).

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The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in is the height

Answers

Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

[tex] \frac{area}{ \frac{1}{2} \times height} [/tex]

Base is the length by the way.

[tex] \frac{8.91}{ \frac{1}{2} \times 2.2 } [/tex]

=8.1 inches

Answer:

Then answer is 8.1 inches ;)

Consider this function:
f(x) = -2(x + 3)(x - 7).
When graphed, the function will have x-intercepts at and
Write the left x-intercept first. Write the x-intercepts as ordered pairs: (a,b).

Answers

Answer:

-5 +7x equal 12x

Step-by-step explanation:

add and complete

The x-intercepts of the function f(x) are:

Left x-intercept: (-3, 0)

Right x-intercept: (7, 0)

Given is a function, f(x) = -2(x + 3)(x - 7).

We need to find the x-intercept of the function,

To find the x-intercepts of the function f(x), we set f(x) equal to zero and solve for x:

-2(x + 3)(x - 7) = 0

Now, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

So, we have two cases to consider:

Case 1: x + 3 = 0

Solving this equation, we subtract 3 from both sides:

x = -3

Case 2: x - 7 = 0

Solving this equation, we add 7 to both sides:

x = 7

Therefore, the x-intercepts of the function f(x) are -3 and 7.

Writing them as ordered pairs, we have:

Left x-intercept: (-3, 0)

Right x-intercept: (7, 0)

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7+12x=103 show how you checked it was right

Answers

Answer:

x=8. You plug 8 in for x.

7+12(8)=103

7+96=103

Step-by-step explanation:

7+12x=103

or 12x=103-7

x=96/12=8

to check it 8 is needed.

7+12×8=103

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

Answers

Answer:

14π

Step-by-step explanation:

C = 2πr

D=2r

D=14

14=2r

r=7

C=2π(7)

C=14π or 43.98

(08.01)
Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge,
strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}

Answers

Answer:

A

Step-by-step explanation:

njsusnhshbwhjkahbkans

which shape best describes the cross section cut at an angle to the base of a right rectangular prism

Answers

Answer:

Parallelogram

Step-by-step explanation:

sorry if it's wrong

Which set of measurements would not create a triangle?

A. 9 in., 8 in., 16 in.

B. 11 in., 12 in., 22 in.

C. 14 in., 6 in., 20 in.

D. 3 in., 8 in., 6 in.

Answers

I don’t see how any of them couldn’t but best bet B

pam ate 9 nuts in 6 minutes . if she continued eating at the same rate,how many would she eat in:
[tex]a)12min[/tex]
[tex]b)4min[/tex]
[tex]c)1 \: hour[/tex]

Answers

Answer:

18 nuts in 12 minutes, 13.5 nuts in 4 minutes and 90 nuts in one hour

Step-by-step explanation:

12 min :

12/6 = 2    

2 x 9 = 18 nuts in 12 minuts

4 min:

6/4 = 1.5

1.5 x 9 = 13.5 nuts in 4 minutes

(round to 13 if whole nuts only)

1 hour:

1 hour = 60 mins

60/6 = 10

9 x 10 = 90 nuts in one hour

Please help!! (Prob and Stats)!!

Answers

Answer:

why

Step-by-step explanation:

your image is blocked

Translate the sentence into an inequality.
A number increased by 2 is greater than or equal to 19.

Answers

Answer:

X + 2 [tex]\geq \\[/tex] 19

Step-by-step explanation:

a number  ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.

Given the equation y=3(2)* + 2, what is the value of y when x = 4?
A. 8
B. 50
C. 256
D. 770

Answers

Answer: It will be 50

Step-by-step explanation:

Vanessa tried to prove that triangle KLM is congruent to triangle MNK. What is the first error Vanessa made in her proof?

Answers

Answer:

B. Vanessa only established some of the necessary conditions for a congruence criterion.

Step-by-step explanation:

The diagram does support the claim that \overline{KL}\cong\overline{MN}  

KL

≅  

MN

start overline, K, L, end overline, \cong, start overline, M, N, end overline because they both have two tick marks.

Step 1 is correct.

Step 2

The diagram does support the claim that \overline{LM}\cong\overline{NK}  

LM

≅  

NK

start overline, L, M, end overline, \cong, start overline, N, K, end overline because they both have a single tick mark.

Step 2 is correct.

Step 3

In this step, Vanessa claims that \triangle KLM\cong \triangle MNK△KLM≅△MNKtriangle, K, L, M, \cong, triangle, M, N, K using the side-side-side criterion. But Vanessa only established two pairs of congruent corresponding sides. To use this criterion, we must establish three pairs of congruent sides.

Vanessa would be able to use this criterion if she first established that \overline{MK}\cong\overline{KM}  

MK

≅  

KM

start overline, M, K, end overline, \cong, start overline, K, M, end overline (this can be done with the reason that line segments are congruent to themselves).

The first error Vanessa made in her proof was option B.

Vanessa only established two pairs of congruent corresponding sides

What is congruency?

polygons are congruent if they may be identical in size and shape - that is, if their corresponding angles and sides are the same.

Congruent shapes are shapes that can be exactly equal. The corresponding facets are identical and the corresponding angles are equal.

⇒KL≅  MN   9K, L, end overline)

⇒LM≅  NK

⇒MNK△KLM≅△MNK  (triangle, K, L, M)

Vanessa would be able to use this criterion if she first established that

⇒MK≅  KM

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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.

inscribed in the circle
circumscribed about the circle
neither

Answers

The correct answer is neither

geometry: find the value of x. Round to the nearest tenth. How do I do this? screenshot attached

Answers

Answer:

[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]

Step-by-step explanation:

To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).

sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

If we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).

[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]

[tex]cos(70)=\frac{36}{x}[/tex]

Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).

[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]

[tex]cos(70)*x= 36[/tex]

Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.

[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.

[tex]x \approx 105.3[/tex]

x is about 105.3

I really need help! will give brainliest!!

Answers

Answer is A) AC= 20 and angle A=37°
Dilated by factor of 4 means enlarged by 4 ( multiply by 4)

The angle stays the same no matter how much you increase or decrease the size

And AC= 5 x4= 20

The action of coming to live permanently in a foreign country.

Answers

Answer:

Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.

Select all order pairs that satisfy the function y = -2x + 5
(2,1)
(3,0)
(1, -7)
(-2,9)
(5, 5)

Answers

It would be (2,1)
y=-2*2+5
y=-4+5
y=1

Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.

Answers

Answer:

30

Step-by-step explanation:

b×h

6×5=30

gggffcguhh

Find the volume of the following prism using the formula V = Bh.

Answers

Answer:

504 un²

Step-by-step explanation:

7 × 6 × 12 = 504

504 un²

Volume is not BH but rather LBH

So LBH = 7 * 12 * 6

Volume = 504cm³

Factor the following expression, and verify that the factored expression is equivalent to the original

16x²-8x-3

Answers

Answer:

Final answer

(4X+1)(4X-3)

in ABC, what is the value of x?​

Answers

Answer:

x = 16.2

Step-by-step explanation:

5/9 = 9/x

5x = 81

x = 16.2

Please answer this question!!! Thank you!

Answers

Answer:

your answer is b

Step-by-step explanation:

The answer is B and you’re welcome

A carry out container is shown. The bottom base is a 4-inch square and the top base is a 4-inch by 6-inch rectangle. The height of the container is 5 inches. Find the volume of the food that it holds.

Answers

Answer: 100

Step-by-step explanation: I don't really have a step-by-step explaination, but I do know that the answer is 100.  

I give you brainless if you get it right

Answers

79 degrees is the correct answer!Line PU is supplementary.30 + 34 + 37 = 101180 - 101 = 79I want to be marked "brainless."I want to be a zombie.lm-aoPlease let me know if I am wrong.

y varies directly as x.x= 1/2 and y= 5/4. Find x when y= 10.
x= ?

Answers

Answer:

X=4

Step-by-step explanation:

x=1/2=2/4

y=5/4

y=2.5x

10/2.5=4

so x=4

A jeweler works with two kinds of metals, the first contains
72% silver and the second contains 87% silver.
If he wants to end up with a mixture of 50 grams that is
84% silver,
How many grams of the 72% silver metal should he use?

Answers

Answer:

The TI-84 Plus Silver Edition is powered by four AAA alkaline batteries (not included) , with an automatic shutoff to save energy.

Step-by-step explanation:

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