1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.

Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.

Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees

O Both are correct.

ONeither is correct.

1. Two Students Are Asked To Find The Angle Measures Of AEFG, Given That The Triangle Is Isosceles. AEFG

Answers

Answer 1

Answer:

∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees

Step-by-step explanation:

no problem we all get stuck

Answer 2

The angles can be ∠ G  = 70°, ∠ F = 70° and ∠E =  40° or ∠ G  = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.

What is triangle?

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,

Calculate the interior angles of the triangle as shown below,

∠ G = 180 - 110  (exterior angle)

∠ G  = 70°

Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°

or ∠ F = ∠ E = 55°

To know more about Triangles:

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Related Questions

What is one geometrical fact explained in the lecture that reflects the mathematical technique da Vinci used in The Last Supper? a. He doesn?t use mathematics in the painting. B. He uses trigonometry to find the exact place where each thing should be located and create the picture plane. C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.

Answers

Answer:

C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.

Step-by-step explanation:

See attached. We can see that this option is the best as it reflects what we can see in the painting.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

c

Step-by-step explanation:

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

13.065
-0.07
_________

Answers

Answer:

12.995

Step-by-step explanation:

A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place, how many times greater would the value of the 2 be?

The value of the 2 would be ____ times greater

Answers

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

What is place value?

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

For more references on place value, click;

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What is the equation of the line in slope-intercept form?


y = 1/7x-15/7

y = 1/7x+15/7

y = 15/7x-1/7

y = 15/7x+1/7
NEED IT NOW!!

Answers

Answer:

B IS THE ANSWER

Step-by-step explanation:

please explain this got a final tomorrow

Answers

Answer:

9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8

What is the idea of factoring by grouping?

Answers

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

When factoring by grouping also called castor

what kind of cup that doesn't hold water​

Answers

Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls

Answers

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Find all values of j for which the quadratic equation has one real solution.
3x² + 5x-j=0
Write your answer as an equality or inequality in terms of j.

Answers

Answer:

x = (-5+/- √(25 + 12j))/6

Step-by-step explanation:

The solution to this question requires the application of quadratic formula

Using the findings (e.g., themes) from a qualitative study to develop a new quantitative survey is known as what type of integration

Answers

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

Learn more in https://brainly.com/question/1978633

Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line​

Answers

Answer:

-5+4= -1

Step-by-step explanation:

On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.

8x-22 please help me please help me please help me please help me please help me please help me

Answers

Answer:

8x - 22

Step-by-step explanation:

You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)

if a temperature is 2 celcious and falls by 7 celcious what is your new temperature

Answers

-5°C or negative 5 degrees Celsius

Answer:

-5°C

Step-by-step explanation:

if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.

When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.

As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.

So your answer is -5°C.

Hope this helps!!

28 is less than 35 by what %?
35 is greater than 28 by what %?

Answers

Answer:

28 is less than 35 by 20%

35is greater than 28 by 20%

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

THANK YOU!

Answers

Answers:

DE = 24 inchesm∠E = 22°

=================================================

Explanation:

The diagram is below.

Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.

The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.

This means we have this pairing:

A pairs with DB pairs with EC pairs with F

Because the triangles are congruent, we know that:

angle A = angle Dangle B = angle Eangle C = angle F

So if we could find out angle B, then we automatically will find out angle E as well.

Use the idea that for any triangle, the angles always add to 180

A+B+C = 180

34+B+124 = 180

B+158 = 180

B = 180-158

B = 22

Angle B is 22 degrees, and so is angle E.

----------------------

Everything in the previous section handled how to find angle E.

In this section, we'll find how long side DE is.

Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs

side AB pairs with side DEside BC pairs with side EFside AC pairs with side DF

The pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.

Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.

factorise first then solve these equations

1.

x^2+5x+4=0

2.

a^2+7a+12=0

Answers

1) factorised is (x+4)(x+1)=0
So x=-4 x=-1

2) factorised is (a-4)(a-3)=0
So a=4 a=3

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

7x + 2y = -7
11x + 5y = 2

Answers

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

------------

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

------------------------

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

Find a
rational number between 3 and pi

Answers

Answer:

3.1

Step-by-step explanation:

3.1 probably :))))));(;):):((/(/(/(/(/(/(/(

Using the formula find the slope of a line with these two points (2,10) and (5,15).

Answers

Answer:

1.66667

Step-by-step explanation:

using online slope calculater

If mCA = 50° and mER = 40⁰, what is the m∆CSA ?​

Answers

Answer:

45°

Step-by-step explanation:

Given:

mCA = 50° mER = 40⁰

Angle formed by intersecting chords is the half the sum of arc measures formed by same chords:

m∠CSA = m∠ESR = 1/2(mCA + mER) = 1/2(50° + 40°) = 45°

I really really really need help with this please I’ll give brainlist



Roy works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 1 kilogram each, and are shipped in a container that weighs 6 kilograms. Large ones, on the other hand, weigh 2 kilograms apiece, and are shipped in a container that weighs 5 kilograms. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be

Answers

for the small one there would be six small helicopters and two big ones

and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters

if it's wrong i'm very sorry i'm bad at word problems

1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZMLX
2N =zY
YO NZ
Prove: AMNO = AXYZ
Z
I

Answers

Answer:

yes they are

Step-by-step explanation:

they are both congruent because they are the same shape and size, they are just on opposite sides

(congruent means that 2 objects are the same shape and size)

Answer:

yes they are

Step-by-step explanation:

can someone PLEASE tell me the answer to this?

Show your work and explain please :D

Answers

Answer:

6ft: 25.667ft   /   7ft: 22ft

Step-by-step explanation:

Since the question shows 7ft but the diagram shows 6ft I will show how to do both

FOR 6FT

Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft

Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x

6/28 = 5.5/x

6x = 154

x = 25.667ft

FOR 7FT

Same process as before, replace 6 with 7

7/28 = 5.5/x

7x = 154

x = 22ft

DUE BY 11:59 PM!!

HELP GREATLY APPRECIATED!!​

Answers

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

3 times a Numbers plus 12 is more than 15?

Answers

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

Answer:

3x + 12 > 15

this can be simplified to

x > 1

Step-by-step explanation:

:D

2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.​

Answers

Answer:

Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.

What is the equation in slope intercept form of the line that passes through the points (2,7) and (4,10)?

Answers

Answer:

y = 3/2x + 4

Step-by-step explanation:

First, you find the slope(y1 - y2/x1 - x2) which you can subsitute to 10 - 7/4-2, which will get you 3/2 and you put that in the place of the slope (m). So now our equation is y=3/2x+ y-int, to find the y intercept, there is a method which you can use to find it is to time the x point in a set by the slope, and minus it using the y to find the y intercept. In this case, you time the 2 by 3/2, which will get you 3, and minus it by the y that is 7, and you will get 4

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