What is true about AngleQRT? Select two options.

Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ

Answers

Answer 1

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR ≅ TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

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Related Questions

write square root of 5 x square root 10 in the form of b square root of 2 where b is an integer
simplify fully square root of 27 x square root of 75

Answers

Answer:

a)b= 5

b)45

Step-by-step explanation:

a) 5 times ten is 50 . the two factors of 50 are 25 and 2. The square root of 25 is 5, so that's the answer.

b) 27 × 75 is 2025 and the base root is 45², then with the radical and exponent we reduce the index by 2 to get 45.

[tex]\textbf{a)}\\\\~~~\sqrt 5 \times \sqrt{10}\\\\=\sqrt{5} \times \sqrt{5 \times 2}\\\\=\sqrt{5} \times \sqrt 5 \times \sqrt 2\\\\=\left(\sqrt 5 \right)^2 \times \sqrt 2\\\\=5\sqrt 2\\\\\text{It is now in a form of} ~ b\sqrt2 ~ \text{where} ~b = 5.\\\\\\[/tex]

[tex]\textbf{b)}\\\\~~~\sqrt{27} \times \sqrt{75}\\\\=\sqrt{9 \times 3} \times \sqrt{25 \times 3}\\\\=\sqrt 9 \times \sqrt 3 \times \sqrt{25} \times \sqrt 3\\\\=3\times 5 \times \left(\sqrt 3 \right)^2\\\\=15 \times 3\\\\=45[/tex]

HELP WHAT DOES THIS EVEN MEAN

Answers

Answer:

59.5

Step-by-step explanation:

He is asking for angle A

cosA = adjacent/hypotenuse

= 33/65

we'll do shift cos(33/65) = 59.48 to bring A

How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players?

Answers

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

What is the combination formula?

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex]

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

[tex]^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040[/tex]

Hence, There are 47,040 ways to form a soccer team.

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Tera buys 10 pencils for $1.99.
About how much $ does each pencil
cost?

Answers

Answer:

19 cents or 0.199

Step-by-step explanation:

Hope it helped!

Answer:

19 cents

Step-by-step explanation:

divide total cost by amount of items

Find the greatest common factor of 6m² and 7m².

Answers

Answer:

your answer is 4 my friend

Step-by-step explanation:

3p + 4 ≥ −14 and 1 – 5p ≥ 39

Answers

Answer:

1) p ≥ -6

2) p ≤ -38/5

Step-by-step explanation:

3p + 4 ≥ -14

Subtract 4 to both sides

3p ≥ -14 - 4

3p ≥ -18

Divide 3 to both sides

p ≥ -18/3

p ≥ -6

[tex]\rule[225]{225}{2}[/tex]

1 - 5p ≥ 39

Subtract 1 to both sides

-5p ≥ 39 - 1

-5p ≥ 38

Divide -5 to both sides

p ≤ -38/5

[tex]\rule[225]{225}{2}[/tex]

Triangle DEF is a right triangle with point F at the origin. Segment DE has endpoints located at D(8, 0) and E(0, −2). What is the area of triangle DEF?

Answers

Answer: 8

Step-by-step explanation:

Using the formula [tex]A=\frac{1}{2}bh[/tex],

[tex]A=\frac{1}{2}(8)(2)=\boxed{8}[/tex]

Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.

Answers

Using trigonometric ratios, the measure of side n to one decimal is 6.6 units.

How to solve for a side using trigonometric ratios?

Using the trigonometric principle

SOHCAHTOA,

cos 20 = adjacent / hypotenuse

adjacent side = n

hypotenuse side = 7

Therefore,

cos 20° = n / 7

cross multiply

n = 7 cos 20°

n = 7 × 0.93969262078

n = 6.5778483455

n = 6.6 units

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What is the vertex of the quadratic function f(x) =(x-6)(x+2)

Answers

Answer:

(2, -16)

Step-by-step explanation: set both (x +2) and (x-6) = 0.

You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).

Answer:

Step-by-step explanation:

f(x) = x^2 - 4x - 12

x = -(-4)/2 = 4/2 = 2

(2)^2 - 4(2) - 12 = 4 - 8 - 12 = -4 - 12 = -16

vertex: (2, -16)

Find the area of this irregular figure. Please explain in steps how you did it so I know how to do it for the next question please its not needed but would be appreciated

Answers

Answer: 426 square feet

Work Shown:

A = area of the rectangle

A = length*width

A = 26*15

A = 390 square feet

B = area of the triangle

B = base*height/2

B = 8*9/2

B = 72/2

B = 36 square feet

C = total area

C = A+B

C = 390+36

C = 426 square feet

order the numbers from least to greatest

Answers

Answer:-3, -2, -1/10, -0.8, 0.8, 7

Step-by-step explanation:

Select the correct answer. Given the following formula, solve for y. w=x-y/2 -z

Answers

Given the following formula, w=x-y/2 -z. The value of y is y = x - 2w + wz .

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

Given the following formula,

w=x-y/2 -z

We need to solve for y.

[tex]w = \dfrac{x-y}{2 -z}[/tex]

By cross multiplication

[tex]w\times (2 -z)= {x-y}\\\\2w - wz = x - y[/tex]

subtract x both side

2w - wz -x = x - y -x

y = x - 2w + wz

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If a polynomial has two local maxima and two local minima, can it be of odd degree?

Answers

Answer:

yes, it can be of odd degree

Step-by-step explanation:

The local maxima and minima correspond to zeros in the derivative of the function. The degree of the polynomial will be 1 more than some multiple of 2 greater than the number of zeros in the derivative.

based on derivative

For 2 each of local maxima and minima, the derivative will have 2+2 = 4 real zeros. The degree of the polynomial will be 1 greater, hence of degree 5 (or more). The polynomial must be of odd degree.

based on behavior away from extrema

The local extrema must alternate: a maximum must be followed by a minimum, or vice versa. When there are an even number of each kind, the end extrema will be of opposite kinds. The end behavior of the function will be upward from a minimum and downward from a maximum. Hence the end behaviors must be in opposite directions--characteristic of an odd-degree polynomial.

The polynomial must be of odd degree.

_____

Additional comment

A polynomial with real coefficients will have an even number of complex roots. The complex roots of the derivative of a polynomial have no effect on the number or kind of extrema.

Attached is an example of a polynomial with 2 maxima and 2 minima. It is of 5th degree.

Explain how to easily decide whether x - 6 is a factor of the polynomial P(x) = x ^ 7 - 5x ^ 5 + 2x ^ 4 - x ^ 2 + 9 without performing long division .

Answers

[tex]\text{According to the factor theorem,}\\\\x-a~ \text{is a factor of}~ f(x)~ \text{if}~ f(a) = 0, ~ \text{where}~ a \in\mathbb{R}\\\\\text{Given that,}\\ \\P(x) = x^7 -5x^5 +2x^4 -x^2 +9\\\\P(6) = 6^7 -5\cdot 6^7 +2 \cdot 6^4 -6^2 +9 = 243621 \neq 0\\\\\text{Since} ~ P(6)\neq 0~, ~ x -6 ~ \text{is not a factor of P(x).}[/tex]

Properties of Light Lab Report
Instructions: In the Properties of Light—Bending Light Lab you will explore how light rays interact as they pass from one material, or medium, to another. Record your observations in the lab report below. You will submit your completed report.

Name and Title:
Include your name, instructor's name, date, and name of lab.

Objective(s):
In your own words, what was the purpose of this lab?

Hypothesis:
In this section, please include the if/then statement you developed during your lab activity. This statement reflects your predicted outcome for the experiment.

If I project light rays through (choose one: air, water, glass), then they will refract, or bend, the most.

Procedure:
Please be sure to identify the test variable (independent variable) and the outcome variable (dependent variable) for this investigation. Remember, the test variable is what is changing in this investigation. The outcome variable is what you are measuring in this investigation.

Test variable (independent variable):
Outcome variable (dependent variable):

Select Intro to begin.
Once the simulation loads, you will drag the protractor onto the screen so that the 0 lines up with the dotted line in the center of the screen. Select the More Tools icon at the bottom of the lab interactive and be sure to select the Normal and Angles boxes. Do Not move the laser light.
You will test all three materials in the bottom, blue half of the screen: air, water, and glass. Remember, do not move the laser light.
Record your observations of how the light rays interact as they pass from air, on the top of the screen, through the three materials on the bottom of the screen

Data:
Record the data from each trial in the data chart below. Be sure to fill in the chart completely.

Material Interactions
List any observations you made as the light rays passed from the air on the top of the screen to the selected material on the bottom of the screen. Evidence
Using the protractor, measure the angle as the light passes from the top material to the bottom material on the screen. Also, note the index of refraction for each as indicated on the screen.
Trial One Air on top

Bottom angle:

Bottom index of refraction:
Air on bottom

Trial Two Air on top

Bottom angle:

Bottom index of refraction:
Water on bottom

Trial Three Air on top

Bottom angle:

Bottom index of refraction:
Glass on bottom

Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please write in complete sentences.

Did your data support your hypothesis? Use evidence to explain.
Which material refracted the light rays the most: air, water, or glass?
Which material refracted the light rays the least: air, water, or glass?
How does density affect refraction?
Diamonds are a very dense material. Predict what would happen to the light ray if you projected it from air through a diamond.
Explain where you observe reflection, refraction, and absorption of light in your everyday activities.

Answer:

1,120 cm³

Step-by-step explanation:

Hello!

Think about it this way: There is a rectangular prism, with lengths of 20cm, 12cm, and 10cm, and another rectangular prism cut out of it with lengths, of 8cm, 8cm, and 20cm.

Larger rectangular prism

Volume = L * W * H

V = 20cm * 12cm * 10cmV = 2,400cm³

Cut-Out Rectangular Prism

V = L * W * H

V = 8cm * 8cm * 20cmV = 1,280cm³

Subtract:

2,400cm³ - 1,280cm³1,120cm³

The total volume is 1,120cm³

Use properties of operations to write two expressions that are equivalent
to 2n + (8 + 32).

Answers

The equivalent expressions of 2n + (8 + 32)are 2n + 40 and 2(n + 20)

How to determine the equivalent expressions?

The expression is given as:

2n + (8 + 32)

The first equivalent expression

Evaluate the sum of the numbers in the bracket

2n + (8 + 32) = 2n + 40

This means that 2n + 40 and 2n + (8 + 32) are equivalent.

The second equivalent expression

In (a), we have:

2n + (8 + 32) = 2n + 40

Factor out 2 from the expression

2n + (8 + 32) = 2(n + 20)

This means that 2(n + 20) and 2n + (8 + 32) are equivalent.

Hence, the equivalent expressions are 2n + 40 and 2(n + 20)

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Bob wants to take his wife, Jessica, to Europe in three years to commemorate their 40th wedding anniversary. He recently received a $23,000 inheritance from an uncle, which he plans to put towards the trip. The trip is expected to cost $32,200, according to Bill. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, F (From the tables provided, select the appropriate factor(s).)

What annual compounded interest rate must Bill earn to save enough money to pay for the trip? (Round to the nearest whole percentage your interest rate.)

Answers

Answer:

10%

Explanation:

Use future value formula

Future Value = Present Value ((1+r)^n)

26,600 = 20,000 ((1+r)^3

26,600/20,000 = (1+r)^3

1.33 = (1+r)^3

1.33^1/3 = 1+r

1.0997 = 1+r

1.0997 - 1 = r

r = 0.997 = 9.97% = 10% (rounded of to the nearest whole percentage)

(pls give brainliest)

Suppose that y varies inversely with the square of x and y = 50 when x = 4. Find y when x = 5

Answers

Answer:

y = 32.

Step-by-step explanation:

y = k/x^2 where k is the constant of variation

When y = 50 x = 4, so

50 = k / (4)^2

f = 50 * 4^2 = 800.

So the relation is

y = 800/x^2

When x = 5

y = 800/5^2

= 32.

1. 5 M 20 CM of cloth is needed to stitch a shirt how much clothes will be needed to stitch 449 shirts

2. I have a pack of 100 rupees notes in series which start from number code 412 to 425 how much money do I possess

3. a tailor stitches 120 suits in one month. find out how many suits he stitches in an year

4. Radha can swim 348 m in 5 minutes what distance can she in 50 minutes

full explanation pls

Answers

Length in cm

500+20=520cmShirts=449

Total length

449(520)233480cm2334m 80cm

Total notes

425-412+1=14

Total money

100(14)1400

Total suits per month=120

per year

120(12)1440suits

Total 5mins

50/5=10

total distance

348(103480m

What is the sum of the 3rd and 5th square number??

Answers

Answer:

Step-by-step explanation:

3rd and 5th square numbers means 3² and

5² .

so we know 3² is another word of saying 3×3

3×3=9

5×5=25

9+25=34

A. Using the spinner above, what is the probability that a player will draw 3 cards?

B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?

C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability?

Answers

Answer:

A-1/3

B-1/8

C-?

Step-by-step explanation:

Solve the following factorize and the en- equation of quadrate equation X² + 5x + 7 x = 0

Answers

Answer:

{-12,0}

Step-by-step explanation:

first to solve this can collect like terms and add

X² +12x=0

and solve it by factorization method

X² +12x=0

x(x+12)=0

it means x multiplied by x = X² then x multiplied by 12 = 12x

so this means x or (x+12) equals to zero

x=0 and (x+12)=0

x+12=0

x=-12

so the solution set is {-12,0}

but can also be done by formula method

Select the graph of y=cot x.

Answers

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

Which is the graph of cotangent of x?

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

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A card is drawn from a standard deck of cards without jokers
What is the probability that the card is either black or a heart

Answers

Answer:

Step-by-step explanation:

Remark

The two black suites are

Clubs

Spades

Each of them has 13 cards so the total number of black cards is 2*13 = 26

Add to that the hearts which also has 13 cards

The total number of possible good cards is 13 + 26 = 39

Answer

P(hearts or Black) = 39/52

P(hearts or Black) = 3/4

P(hearts or Black) = 0.75

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What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ

Answers

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What is true about AngleQRT? Select two options.

Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ