Sterling has prepared the following two-column proof below. He is given that ZON 2 XLNO and he is trying to prove that OL 2 ON. Sterling made one error in the proof as indicated by the gold
highlighted cell. Rewrite the one cell in the space provided to show the correction (no need to rewrite the whole proof) (5 points)
Step Statement
Reason
1
LOUNAUNO
Given
2
Draw OE as a perpendicular bisector to us by Construction
LEO = 90
Definition of a perpendicular Bisector
NEO = 90
Definition of a perpendicular Bisector
LE SEX
Definition of a Perpendicular Bisector
DOLEDONE
Hypoteseng (HL) Postulate
OLON
СРСТС
5

Given:

The figure of a trapezoid.

Length of mid-segment = 5.5

Height of the trapezoid = [tex]6\sqrt{3}[/tex]

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

[tex]A=M\times h[/tex]       ...(i)

[tex]A=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are bases and h is the vertical height.

We know that [tex]M=\dfrac{a+b}{2}[/tex] is the length of the mid-segment.

Putting M=5.5 and [tex]h=6\sqrt{3}[/tex] in (i), we get

[tex]A=5.5\times 6\sqrt{3}[/tex]

[tex]A=33\sqrt{3}[/tex]

Therefore, the area of the trapezoid is [tex]33\sqrt{3}[/tex] units squared.

Answer:

3 hours + 5hours = 8 hours ÷ 2 =

4 hours is your answer.

Step-by-step explanation:

If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people

equals 4 hours for 2 people on 1 job.

Answer:

70.76

Step-by-step explanation:

Answer:

70.2

Step-by-step explanation:

156*0.45

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

Answer:

28 learners

Step-by-step explanation:

Boys : Girls

3 : 4

Since there are 12 boys and 3 units of them...

3 units = 12

1 unit = 12 ÷ 3 = 4

Girls =

4 units = 4 x 4 = 16

Total number of girls and boys: 12 + 16 = 28

Answer:

x>-1

Step-by-step explanation:

Answer:  x would = -1

Step-by-step explanation:

Hope this helps u! Have a good day! :)

Answer:

857.50

Step-by-step explanation:

$3,500 x .035= 122.5x7= 857.50

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

Answer:

Supplimentry

Step-by-step explanation:

Answer:

1.05882352941

Step-by-step explanation:

Answer:

There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.

If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.

Let me know if this helps!

Answer:

3/4

Step-by-step explanation:

If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.

The answer is 3/4 of the kittens are not white.

This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.

Hope this helps, if not, comment below please!!!

:L

Answer:

Omg what is this? hopefully god helps you.

Step-by-step explanation:

Answer: The eccentricity of the conic section shown in the given picture = 0

Step-by-step explanation:

The eccentricity of a conic is measure to determine how un-circle a conic section.

In the given picture, we have a circle.

A circle has an eccentricity of zero.

Therefore, the eccentricity of the conic section shown in the given picture = 0

Answer:

A

Step-by-step explanation:

a translation 16 units to the left will replace x with x+16, and a translation 6 units down will replace g(x) with g(x)-6, so it's A.

Answer:

A -  (2a+0)/2 ; (2b+0)/2  = ( a , b )

B -  (-2a+0)/2 ; (2b+0)/2  = ( - a, b )

C - (-2a+0)/2 ; ( -2b+0)/2  = ( - a, - b )

D - (2 a+0)/2 ; (-2b+0)/2  = ( a , - b )

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 5/10

2) 9/12

3) 4/16

4) 2/6

Answer:

x=-5

Step-by-step explanation:

3x+6=-9

   -6    -6

3x=-15

x=-5

Answer:

=  − 5

Step-by-step explanation:

The steps are in the (2) pictures below. Hope this helps!

Answer:

[tex] 9 \frac{1}{3} [/tex]

Step-by-step explanation:

Let when x divided by 7 will produce [tex] 1\frac{1}{3} [/tex]

[tex]x \div 7 = 1 \frac{1}{3} \\ \\ x \times \frac{1}{7} = \frac{4}{3} \\ \\ x = \frac{7 \times 4}{3} \\ \\ x = \frac{28}{3} \\ \\ x = 9 \frac{1}{3} [/tex]

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

Answer:

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Step-by-step explanation:

Circumference is 2[tex]\pi[/tex]r.

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Answer:

42m+10n+27

Step-by-step explanation:

Adding like terms

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

b line segment

,.Answer:

Step-by-step explanation:

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

Answer:

494

Step-by-step explanation:

365 minus 21 days for the 3 weeks off. Approximately 52 weekends, 52 multiplied by 9.5 equals 494 hours.