Mathematics College

In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z?

Triangles EFG and YXZ, in which triangle YXZ is larger than EFG.


{Please look at the comments for the answer}

A) 38°
B) 62°
C) 80°
D) 142°​

Answers

Answer 1

Answer: A) 38°

Step-by-step explanation:

Given: In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°.

So,  m∠F = m∠X  = 80°  

m∠Y = m∠E =  62°

By angle sum property , the sum of all angles in a triangle is 180 degrees.

In ΔXYZ ,

∠ X  + ∠Y + ∠Z = 180°

⇒ 80°+ 62°+ ∠Z = 180°

⇒ 142°+∠Z = 180°

⇒ ∠Z = 180°-142°

⇒ ∠Z = 38°

Hence, the correct option is A) 38°.

Answer 2

Answer:

the answer is A, 38 degrees

Step-by-step explanation:

Related Questions

ON Saturday, 75 kids went to the beach, but only 48 kids went swimming. How many kids did not swim?

Answers

Answer:

27

Step-by-step explanation:

75-48=27

Answer:

27

Step-by-step explanation:

75-48=27

there ya go I hope this helps

what is the product of 754.8 x 3.5

Answers

Answer:

2641.80

Step-by-step explanation:

hope that helps :))

William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece. What is the probability that if he randomly pulls a game piece out of the box it will be orange? Enter your answer as a decimal.

Answers

Answer:

.5

Step-by-step explanation:

.5

yellow= .30

orange= .50

green= .10

red- .10

The required probability of randomly selecting an orange piece is 0.5.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece.

There are a total of 10 game pieces in the box.

Out of those, 5 are orange.

This means the number of favorable outcomes = 5 and the total number of outcomes = 10.

So, the required probability is :

5/10, or 0.5 (5 divided by 10, expressed as a decimal).

Therefore, the probability of randomly selecting an orange piece is 0.5.

Learn more about probability here:

brainly.com/question/11234923

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What is the equation of the graphed line written in
standard form?
O 2x + 3y =-6
O 2x + 3y = 6
O y=-2/3x -2
O y=2/3x-2

Answers

Answer:

the answer is A

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

3 tons, 1110 pounds

Step-by-step explanation:

A Ton weighs 2000 pounds, first convert the 4 tons.

You can solve this by multiplying 4 times 2000, and you will get 8000.

Now Add 8000 to 422, and your solution: 8422.

Now subtract 8422 by 1312, and you will get 7110.

Now convert this back to tons, start thinking, how many times can 2000 go into 7110.

That would be 3 my good sir.

Your Remainder: 1110 Pounds

Your Answer: 2 Tons, And 1110 Pounds.

Hope It Helps!

James is following this recipe to make flapjacks.
James uses 330 g of sugar
How many flapjacks is James making?
Recipe: Makes 15 flapjacks
110 g margarine
150 ml syrup
220 g oats
110 g sugar
60 g sultanas​

Answers

Answer:

A student studies the graph shown below and determines that the reflection of point A over the x-axis will result in a point at (6, 3). State whether or not the student is correct, and explain how the correct answer can be found or confirmed.

Step-by-step explanation:

(4) Which of the following is a true statement about the Distance Formula?


It matters which point is denoted as (x1, y1) or (x2, y2) in the Distance Formula.


The Distance Formula is not a variation of the Pythagorean Theorem.


The Distance Formula finds the change in x and the change in y of the three points.


The (x1, y1) and (x2, y2) can be switched in the Distance Formula.

Answers

Answer:

The (x1, y1) and (x2, y2) can be switched in the Distance Formula.

Lana bought a bamboo plant that was
9 1/5 feet high. When she got it home she cut 7 1/2 feet off of it. How tall wasthe plant after she cut it down?

Answers

Step-by-step explanation:

9 1/5=46/5 ; 7 1/2=15/2

common denominator is 10

46/5-15/2=( 92-75)/10= 17/10= 1 7/10 feet= 1.7 feet

What is x in 3x - 7 = 11

Answers

Answer:

x = 6

Step-by-step explanation:

3x - 7 = 11

3x = 11 + 7

3x = 18

x = 6

the answer is 6 :)))

A triangular prism and two nets are shown:

A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 15 inches. Net A has 3 rectangles having dimensions 5 by 15, 15 by 12, and 15 by 13, and two triangles having legs 5 inches and 12 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 15, and two triangles having legs 5 inches and 12 inches.

Which is the correct net of the prism and what is the surface area of the prism?

Net B with 420 square inches
Net B with 500 square inches
Net A with 510 square inches
Net A with 450 square inches

Answers

Answer:

Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.

The correct net is net a.

Surface area = sum of areas of the three rectangles and sum of the two triangles.

SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.

Step-by-step explanation:

Hope this helped

A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}

Find the intersection: A Intersects withB.


{7, 9}

{1, 2, 3, 4, 5, 6, 7, 9}

{1, 3, 5}

{2, 4}

Answers

The first option, {7, 9}

determine the missing number /38= 41\19​

Answers

Answer:

x=82

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 19.

x/38=41/19

I need help with a portion web​

Answers

Answer:

wow 13 point yay

Step-by-step explanation:

Jon is drawing a quadrilateral.


The length of each side is 5.2cm to 1 decimal place.


Complete the error interval for the length of one side.



And Complete the error interval for the perimeter.



Please help with this one urgently.

Answers

Answer:

We know that the measure of each side is:

5.2cm to 1 decimal place.

Then we can assume that the error is 0.05cm (half of the second decimal place).

With this, the interval of the length of each side will be:

(5.2cm - 0.05cm) = 5.15cm  (as the minimum)

(5.2cm + 0.05cm) = 5.25cm (as the maximum)

Then the interval is (5.15cm, 5.25cm)

2) We know that the perimeter of a square of sidelength L is:

P = 4*L

In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:

P = 4*5.15cm = 20.6cm

And the maximum perimeter can be:

P = 4*5.25cm = 21cm

Then the interval is: (20.6cm, 21cm)

Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.

A business developer would like to purchase an abandoned corner lot in a small town and build a small convenience store with gasoline pumps on the site. Town leaders are concerned about potential traffic and noise impact to the adjacent neighborhood and send printed surveys to 500 homes in the affected area. Of the 123 surveys returned, 87% oppose the plan to develop the corner lot. How could the sampling design cause town leaders to overestimate or underestimate overall support of the development plan?
(A) The leaders may underestimate support because only 123 surveys were returned.
(B)The leaders may overestimate overall support because many residents who did not receive surveys will support the plan.
(C)The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
(D)The leaders may underestimate support because it can be assumed that all residents who did not return the surveys would support the plan.

Answers

Answer:

C

Step-by-step explanation:

Just took the test.

Answer:

C. The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.

Step-by-step explanation:

Edge 2021

(help)Calculate the value for each determinant:


Answers

9514 1404 393

Answer:

9, -12-48, 017, 1

Step-by-step explanation:

Your calculator can do this, but it's probably faster to do it in your head.

  [tex]\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb[/tex]

__

  [tex]\left|\begin{array}{cc}3&-1\\-3&4\end{array}\right|=(3)(4)-(-3)(-1)=9\\\\ \\\left|\begin{array}{cc}8&-1\\-4&-1\end{array}\right|=(8)(-1)-(-4)(-1)=-12[/tex]

And the next two rows are ...

  (-12)(5) -(12)(-1) = -48   —   (2)(-1) -(2)(-1) = 0

  (0)(4) -(17)(-1) = 17   —   (1)(1) -(0)(0) = 1

In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°. Find the length of a, to the nearest inch.

Answers

Answer:

464

Step-by-step explanation:

Find other angle:

<B = 180 - 165 - 11 = 4

Then plug in (opposite sides go together):

[tex]\frac{a}{sin 11}[/tex] = [tex]\frac{630}{sin 165}[/tex]

[tex]a = \frac{630 sin 11}{sin 165} = 464.454 = 464[/tex]

The length of side a in ΔABC is 460 inches.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sine rule of ΔABC which is a/sinA = b/sinB = c/sinC.

Given, In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°.

∴ a/sinA = c/sinC.

a/sin11° = c/sin165°.

a/0.19 = 630/0.26.

a = (630×0.19)/0.26.

a = 460.

learn more about sine rule triangles here :

https://brainly.com/question/22288720

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PLEASE HELP ME WITH THSE QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..

Answers

20. B
21. B
22. A
23. C
24. A
25. A
Those should be right? Let me know if you need an explanation.

Ms. Perez has a beautiful cat named Tarzan. He weighs 12 pounds. How many ounces does Tarzan weigh?

Answers

Answer:

192

Step-by-step explanation:

16 ounces = 1 pound

16 x 12 = 192

find the unit rate for each situation.

1) 350 words in 5 minutes

2) 200 meters in 40 seconds

Answers

Answers below.

1. 70 words a minute. (350/5=70)

2. 5 meters per second. (200/40 = 5)

Hope this helps!

Given: Q=7m+3n, R=11-2m, S=n+5, and T=-m-3n+8
simplify Q+S-T

Answers

Answer:

[tex]Q+S-T = (7m + 3n) + (n + 5) - ( - m - 3n + 8) \\ = (7 + 1)m + (3 + 1 + 3)n + (5 - 8) \\ = 8m + 7n - 3[/tex]

Help please! I can’t seem to solve this!!!

Answers

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i need help on this math is it possibe it could ve done asap

Answers

Answer:

student A: the third step, they subtracted 16 squared from 24 squared, without figuring out what the squared values were.

student B: is correct

student C: step four, they didn't find the square root of 320, they kind of just took the square off of b and called it good.

Step-by-step explanation:

i hope this helps :)

25 POINTS!! (EASY)MORE POINTS!!!!!!! BRAINLIEST PLSSSSSSSSSSSSSSSSSSSHELP. For Brainliest Please help)
Find the numbers if-
A) 0.6of it is 30
B)1.5 of it is30
C)1.6 of it is 32

Answers

Answer:

A) 50

B) 20

C) 20

Step-by-step explanation:

To solve the first question, we can multiply both sides by 10.

Thus, we get:

6x = 300.

Then, divide by 6, to get x:

x = 50.

You can do the same thing to all of these questions.

I've already checked the answers, but if you don't trust them, just pluck the values in.

For example, let's check the answer for question A.

0.6*50 is supposed to equal 30.

Does it equal? Yes, so we know that the answer is correct.

What happens to the value represented by the digit 4 in 120,485 if 4 is moved one
place to the left?

Answers

Answer:

Its value will change from 400 to 4000

Step-by-step explanation:

Where the 4 is now, it is the hundreds place, so that 4 stands for 400.

If you move the 4 one place to the left, it will be in the thousands place, so the 4 will represent 4000.

Answer: Its value will change from 400 to 4000

It’s values will change from 400 to 4000

ASAPPP!!!!!! Need help with this it’s timed pleaseeeee

Answers

Answer:

x=0.75

Step-by-step explanation:

Hope this helps!

which inequality represents this situation?the number of students,s,who rides in a bus is less than 30​

Answers

Answer:

b

Step-by-step explanation:

b

Which system of equations has the same solution as the system below?
4x + 4y = 16
3x + 2y = 3

Answers

Step-by-step explanation:

this is the correct answer

Please help me asap thank you!

Answers

Answer:

25a-20

Step-by-step explanation:

15a+10a-20=

25a-20

5×10^5 living in Wyoming

Answers

What?... also it’s 500,000.

Answer:

500000

Step-by-step explanation:

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