In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠Q ≅ ___

In The Diagram Below, PQR STR. Complete The Statement Q ___

Answers

Answer 1

Answer:  Choice A.  [tex]\angle T[/tex]

Explanation:

Notice how letters Q and T are in the middle of the sequences of PQR and STR respectively. This means the angles correspond.

Because the triangles are congruent, this means the corresponding pieces are congruent. Therefore, angle Q and angle T are the same measure.

As you can see, the order matters when it comes to forming congruence statements. Something like [tex]\triangle PQR \cong \triangle STR[/tex] is slightly different from [tex]\triangle PQR \cong \triangle SRT[/tex]

Answer 2

Congruent triangles have all corresponding measurements like angles and side lengths congruent. The completed statement would be ∠Q ≅ ∠T (Option A: ∠T)

What are congruent triangles?

Suppose it is given that two triangles ΔABC  ≅ ΔDEF

Then that means ΔABC  and  ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC  ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D[/tex] (small m shows we're taking about measurement) (both the statements are equivalent)[tex]\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E[/tex][tex]\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F[/tex][tex]\rm |AB| = |DE| \: \: or \: \: AB \cong DE[/tex][tex]\rm |AC| = |DF| \: \: or \: \: AC \cong DF[/tex][tex]\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

For this case, we have:  ΔPQR ≅ ΔSTR

Thus, we have:

[tex]\angle Q = \angle T[/tex]

Thus, the completed statement would be ∠Q ≅ ∠T. (Option A: ∠T)

Learn more about congruent triangles here:

https://brainly.com/question/16921692


Related Questions

Which are possible dimensions of the cylinder?

Answers

Answer:

B

Step-by-step explanation:

pls give me brainliest

Answer:

A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.

Option is B

Step-by-step explanation:

What is the x-value of point A?
1
6
4
ТА
2
-6
-4
-2
-8
х
-2
-4
-6
please help and hurry!!

Answers

The correct answer is 4

Please help me answer 23, 24, 25 and 26!!!

Answers

Answer:

23. c

24.b

25. box 2

26. 48, 26

Step-by-step explanation:

fine the total surface area left in terms of pie

Answers

Answer:

200π cm²

Step-by-step explanation:

Applying,

TSA = πrl+πr²

TSA = π(r²+rl)............. Equation 1

Where TSA = Total surface area, r = radius of the base, l = slight height of the cone

To get l we apply pythagoras theorem

From the diagram,

l² = 15²+8²

l² = 225+64

l² = 289

l = √289

l = 17 cm

Given: r = 8 cm

Substitute these values into equation 1

TSA = π(8²+17×8)

TSA = π(64+136)

TSA = π(200)

TSA = 200π cm²

Lorenzo bought several pounds of chocolate-covered peanuts and
gave the cashier a $20 bill. Write an expression for the amount of change he will
receive if p represents the cost of the peanuts

Answers

Answer:

20 - p

Step-by-step explanation:

If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.

So, set up the expression:

20 - p

The expression to represent how much change he will get is 20 - p

Someone help me please

Answers

Answer:

This is the answer48 cm²

Answer:

A = 44 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

We require to find the missing segment of b₁

Using the tangent ratio in the right triangle

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{adjacent}[/tex] = 1 , so

adjacent = 4

Then

b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )

Answers

Answer:

6x-3-4+x=4x+20

7x-7=4x+20

7x-4x=20+7

3x=27

X=27/3

X=9

Answer:

(6×-3)-(-4+×)=4×+20

6×-3--4+×=4×+20

6×+1+×=4×+20

6×-4×=20-1

2×=19

devide by two both sides

×=9.5

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Answers

A) Tn= a+(n-1)d = 4 + (n-1)(-3) = 4 -3n + 3 = 7-3n

B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n

[a is the first term, d is the common difference]

(12 POINTS)If you can’t help out it would mean so much ty!!!

Answers

Pretty sure it’s the third one. It already says the initial height, 25 feet, so u plug that in for the third term. Although it says the initial speed of 70 miles per hour, you’re supposed to have it in feet per second as states in the first part. To turn 70 miles to feet, multiply by 5280. This gives you 369600 feet. It also needs it in seconds, not hours. So divide 369600 by 60 as there are 60 seconds in an hour. You get 6160. Plug that in for the second term and u should get the third one.

Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B

Answers

Is answer B the answers to this question
The answer to this equation is B

Arrange the following in ascending order. 1/2 1/4 3/4 1​

Answers

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *​

Answers

A) I multiplied $6.45 x 40 which gave me 258. Then multiplied $7.95 x 3 which gave me $23.85. So then I added my answers and got $381.85

Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0

Answers

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

Please help me out this is hard .

Answers

Answer:

24.6

Step-by-step explanation:

take 72 degree as reference angle

using tan rule

tan 72 = opposite / adjacent

3.07 = x/8

3.07 * 8 = x

24.56 = x

24.6 = x

42, 43, 44, 44, 49, 40, 39
What is the mean?

Answers

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Answers

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

Are the following triangles similar, Explain your answer​

Answers

Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.

20 marbles in a bag. 4 are red, 5 are blue, 5 are black, 4 are white and 2 are yellow. What is the probability that he pulls out a red marble?

Answers

Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that he pulls out a red marble = number of red marbles / total number of marbles

= 4/20 = 1/5

Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?

Answers

Answer:

Mathew will earn $360.72 from his food

Step-by-step explanation:

We know that:

1 bushel of wheat = $5.40

And Matthew produced 66.8 bushels of heat this year

To find how much Matthew will earn from his field, multiply:

5.40 x 66.8 = 360.72

Therefore he will earn $360.72 from his field.

Hope thjs helps!

$360.73 I’m pretty sure

Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. Estimate how far the hurdles are from one another. Do not include units (meters) in your answer. Round your answer to the nearest whole meter. plzzzzzzzzzzzzzzz help

Answers

Answer:

7.5 metres

Step-by-step explanation:

According to the Question,

Given,Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.

Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m

Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)

So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.

Which ordered pair (a,b) is the solution to the given system?

Answers

Answer:

1,3 3,1

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?

A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and one-third meters
Negative three-fourths meters
Negative one-fourth meters
Negative 1 and StartFraction 5 Over 6 EndFraction meters

Answers

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

Answers

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]

find h r=4 l=9
im lost

Answers

I Think The answer is33

what are 2 consecutive odd integers whose sum is 36.

Answers

Two consecutive odd integers with a sum of 36 are 17 and 19.

Hope it helps you I'm from ph❤️

Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

What is the slope-intercept equation for the line below

Answers

Answer:

the answer is A

Step-by-step explanation:

does anyone know how to do this

Answers

9514 1404 393

Answer:

  y = -1/2x +4

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis, at y=4.

The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.

The slope is ...

  m = "rise"/"run" = -1/2

Then the slope-intercept equation is ...

  y = mx + b . . . . . slope m, y-intercept b

  y = -1/2x +4

what is 5\8 divided by 1\4​

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

5/8 ÷ 1/4

Copy dot flip

5/8 * 4/1

Rewriting

5/1 * 4/8

5/1 * 1/2

5/2

Writing as a mixed number

2 1/2

A school raises £468 for their chosen charity by dressing up.Tge money raised is increased by 42% by holding a cake sale.The headtheacher makes up the total sum to £700.How much does the headteacher donate?​

Answers

Answer:

35.44

Step-by-step explanation:

(1 +.42)*468 = 664.56

if you add 35.44 you would have 700

The product of two rational numbers is 2/5 , if one of them is -8/25, find the other.

With steps explained.

Answers

Answer:

x=-5/4

Step-by-step explanation:

Let the number be  x and y

     x.y=2/5    (The product of two rational numbers is 2/5)

if  one of the number is  -8/25

x.(-8/25)=2/5

(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

x=(2/5) *(-25/8)    

x=-5/4  

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Product of two rational numbers = [tex]\frac{2}{5} [/tex]

One of the number = [tex]\frac{-8}{25} [/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The other number is [tex]\frac{ - 5}{4} [/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]

[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]

[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]

[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]

[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

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