Question 25 of 55
Compare 5 and - 8. Which of the following is true?
O A. 15| > |-81 and 5 > -8
B. 151 > T-81 and 5<-8
O C. 151 = 1-8) and 5 >-8
O D. 151 < |-81 and 5 >-8
Plz answer it will be nice thanks

Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:

1. a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. a.) FH = 24

b.) JL = 74

c.) KJ = 60

d.) FJ = 30

4. a.) AE = 26

b.) AN = 58

c.) CT = 21.5

d.) Perimeter of ΔAEN = 127

5. x = 15

6. x = 6

Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.

Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:

1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:

a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. The segment parallel to the given segments are:

a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. Given:

FG = 37; KL = 48; GH = 30

a.) FH = ½(KL)

FH = ½(48)

FH = 24

b.) JL = 2(FG)

JL = 2(37)

JL = 74

c.) KJ = 2(GH)

KJ = 2(30)

KJ = 60

d.) FJ = ½(KJ)

FJ = ½(60)

FJ = 30

4. Given:

PT = 13

EN = 43

CP = 29

a.) AE = 2(PT)

AE = 2(13)

AE = 26

b.) AN = 2(CP)

AN = 2(29)

AN = 58

c.) CT = ½(EN)

CT = ½(43)

CT = 21.5

d.) Perimeter of ΔAEN = EN + AN + AE

Perimeter of ΔAEN = 43 + 58 + 26

Perimeter of ΔAEN = 127

5. 10x + 44 = 2(8x - 23) (midsegment theorem)

10x + 44 = 16x - 46

10x - 16x = -44 - 46

-6x = -90

Divide both sides by -6

x = 15

6. 19x - 28 = 2(6x + 7) (midsegment theorem)

19x - 28 = 12x + 14

19x - 12x = 28 + 14

7x = 42

x = 6

Learn more about midsegment theorem on:

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Answer:

x = 13

Step-by-step explanation:

need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13

Answer:

30

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

Answer:

C

Step-by-step explanation:

6÷3=2

9÷3=3

combined that is 15/3

so the extra 1 goes back into the fraction

giving us 5 1/3

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Answer:

a.11

b.20

c.44

d.5

e.60

f.12

g.4

h.40

i.900

j.6

Step-by-step explanation:

hope this helps

Answer:

441

Step-by-step explanation:

Where you see X, substitute with 300

300-98 + 300÷2

291 + 150

= 441

Answer:

352

Step-by-step explanation:

important info:

x = 300

Solution/Explanation:

300-98+300 ÷ 2=

202+150=

352

Hence, the Answer is 352.

the domain is the x value (first number) and the range is the y value (second number)

(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)

to graph the domain and range you just plot the points,

and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.

then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same  number.

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

Answer:

c. is correct answer I think

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

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

Easy! :D (if you don't mind, may I get brainliest please?)

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

Answer:

7. DF

8. BC

9. E

10. C

11. ES

12. JK=RS

13. EF=UV

Step-by-step explanation:

Use proper notation for segments, angles and congruency, limited what symbols we can use here.

Answer:

23.65

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line

[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]

Answer:

3.68 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

Answer:

150.183

Step-by-step explanation:

0.9 x (8.2 x 20.35) =

0.9 x (166.87) =

150.183

Answer:

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

  {-5, 1, 4, 5}

__

The domain is the set of first numbers of the ordered pairs.

  {-5, -3, 0, 2}

__

Additional comment

It is generally convenient to write the elements of a set in sorted order.

Answer:

I think you forgot to attach the table

Answer:

The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP

Answer: 644.4 sq cm

Step-by-step explanation:

First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54

A.)8.5*2.54=21.59 centimeters

B.)11.75*2.54=29.845

C.)Now to find the Area we multiply the two

21.59*29.845=644.35355

Which we an round do 644.4

We have:

[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]

ok done. Thank to me :>

Answer:

10%

Step-by-step explanation:

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

Learn more on diameter of circle: https://brainly.com/question/23220731

Step-by-step explanation:1

Answer:

6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ]

f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table

f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table

average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6