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.

Answer:

The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].

Why?

To find the correct answer we have to isolate r from the other numbers. To isolate r  from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.

Good luck!

Answer:

1. f(3) = 11

2. f( 1 ) = 6

3. f(-2) = -5

Step-by-step explanation:

Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3.  However, I will provide the correct answer for question 3, as your reference.

In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).

To evaluate the given linear function, simply substitute x = 3 as an input into the function:

f(3) = 2x + 5

f(3) = 2(3) + 5

f(3) = 6 + 5

f(3) = 11

Therefore, the value of f(x) = 2x + 5 given f(3) is:  f(3) = 11.

Similar to question 1, substitute x = 1 as the input of the given quadratic function.

f(x) = x² + 2x + 3

f( 1 ) = ( 1 )² + 2( 1 ) + 3

f( 1 ) = 1 + 2 + 3

f( 1 ) = 6

Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.

If evaluated properly, the correct answer is: f(-2) = -5.

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

Answer:

Mistake is on second line.

x = 2

Step-by-step explanation:

The first two lines are (I added the boldface):

3x - 5 + 3x = x + 8 - x - 1

6x – 5 = 2x + 7

The first line has x and -x. They add to 0.

The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.

The second line should be:

6x - 5 = 7

Add 5 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Answer:

D) .

Step-by-step explanation:

913 ÷ 29 ≈ 31

Answer:

y > -2

Step-by-step explanation:

-5y-2<8

= -5y<8+2

= -5y<10

= y > 10/-5

∴ y > -2

Note: Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.

Answer:(3/5 times 5/6 = 1/2)

Step-by-step explanation:

Answer:

3/5 x 5/6 = 1/2

Hope it helps

Answer:

14

Step-by-step explanation:

6÷3=2

2×7=14

hope this helps

Your welcome!

x = 4

Please mark brainiest

The answer will be x = 4, the way to know that is practically move the 8 to the side where is the 3 and convert the positive 8 into a negative 8, then you move the 3 to the other side an change it into a negative 3 to then subtract the 3 with the x and have -2. After that you divide the -2 with the -8 and there is your answer

Answer:

3.07

Step-by-step explanation:

This is a multiple-step equation

1) Multiply together the costs of the ice cream

2) Multiply the cost of the movie

3) divide them into 5 ( five friends)

4) add those together then you have your answer

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

All the other answers are wrong

Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]

Answer:

x = 27

Step-by-step explanation:

Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

Answer:

it is the 50th tearm

Step-by-step explanation:

I just added '2' to '1' 50 times in a sense and got 99

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

Answer:

16/3

Step-by-step explanation:

formula :

p = kq

k = 8/3

so that is k

it will be like this "p = 8/3 x"

p = 8 × 2 / 3

p = 16/3

cant divide 3 with 16.

so, "p = 16/3" is the answer

ok so he is owing his sister 24 and he gives her 15

so 24-15=9

but as an addition expression it will be

x+15=24

x=24-15

x=9

Answer:

y=2x+1/2 or its y=2x+2

Step-by-step explanation:

Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4

Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2

Y=5/2x+4

Answer:

Step-by-step explanation:

3,2

Answer:

2,3 because the point is inside the origin or equivalent so the answer has to be 2,3

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

Answer:

0.416666667

Step-by-step explanation:

(winks and runs off)

Answer:

5/12

Step-by-step explanation:

5/6÷2

5/6÷2/1

5/6•1/2

5/12

The image is not clear.

Answer:

  9. 1.75 m/s²; 8 s

  10. (12 6/7) °/s; (10 5/7) kt/s

Step-by-step explanation:

Acceleration is the change in velocity divided by the change in time.

__

  (22 m/s -15 m/s)/(4 s) = 7/4 m/s² = 1.75 m/s²

The eagle's average acceleration is 1.75 m/s².

__

The relation can also be used to find the time for a given change:

  a = Δv/Δt   ⇒   Δt = Δv/a

  Δt = (22 m/s -8 m/s)/(1.75 m/s²) = 8 s

It would take the eagle 8 seconds to go from 8 m/s to 22 m/s.

__

From north to south is a direction change of 180°. Then the rate of change is ...

  a = 180°/(14 s) = 12 6/7 °/s

__

From 75 knots north to 75 knots south (-75 knots, using north as a reference) the magnitude of the average acceleration is ...

  |-75 kt -75 kt|/(14 s) = 150/14 kt/s = 10 5/7 kt/s

x + x + 8x + 12 = ...

= 2x + 8x + 12

= 10x + 12

~aljabar

x + x + 8x + 12

= 1x + 1x + 8 + 12

= (1 + 1 + 8)x + 12

= 10x + 12 ✔️

:)

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

Answer:

more sales than b

Step-by-step explanation:

if they invert more in the thing of a company then they will have more ganancia.

Answer:

144mm or 14.4 cm

Step-by-step explanation:

9 × 16 = 144mm

144mm = 14.4 cm