Name three collinear points

Answer:

29) EF is  3

30) AG = 11  

31) AD = 4                            

32) m∠EFG  28°                      

33) m∠CAF = 32°

34) DF = 3                                      

Step-by-step explanation:

29) EF is given as being congruent to EG, therefore, EF = EG = 3

30) AE = EB = 8                                       Given

AG = AE + EG                                          Segment addition postulate

AG = AE + EG = EB + EG = 8 + 3 = 11      Transitive property

31) m∠EAD = m∠EBG = 19°                      Given

m∠DFG + m∠EGF + m∠EAD = 180° Sum of angles of a triangle

∴m∠DFG = 180° - (m∠EGF + m∠EAD) = 180° - (28° + 19°) = 133°

A F = 7                                                        Given

DF = EG = 3                                               Given

AD = A F - DF = 7 - 3 = 4                            From segment addition postulate  

32) m∠EFG = m∠EGF = 28°                       Given

33) m∠CAE = 51°                                         Given

m∠CAE = m∠CAF + m∠EAD               Angle addition postulate

∴ 51° = m∠CAF + 19°

m∠CAF = 51° - 19° = 32°                        Subtraction of angles

m∠CAF = 32°

34) DF = EG = 3                                       Given.

Answer:

Hey there!

The value of x in this figure is 60.

Angles in a four-sided shape add to 360 degrees.

We have an angle of measure 50, an angle of measure 130, and an angle of measure 120.

50+130+120=300.

Thus, the missing angle would be 60 degrees.

Let me know if this helps :)

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360 degrees

x+50 + 120+130 = 360

Combine like terms

300 +x = 360

x = 360-300

x = 60

Answer:

1: 119   2: 61   3: 61   4: 119   5: 119   6: 61   7: 61  

Step-by-step explanation:

Since we know that m & n are parallel we can prove which angles are congruent to angle 8 and which are supplementary

5: 119 (vertical to angle 8)

1: 119 (corresponding angles theorem

2: 61 (linear pair)

3: 61 (vertical to 2)

4: 119 (vertical to 1)

6: 61 (same sided interior angles theorem)

7: 61 (corresponding)

Answer:

This might help u.....

Answer:

Step-by-step explanation:

Like terms have same variables and exponents

12b and 7b are like terms

15 & -8  are like terms

12b + 15 + 7b - 8 + 7x = 12b + 7b + 15 - 8 + 7x

                                   = 19b + 7 + 7x

Answer:

Step-by-step explanation:

12b+7b+15-8+7x

19b+15-8+7x

Answer:

Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.

Mathematically, the transitive property can be written as follows;

When X = Y, and Y = Z, then also X = Z

Part 2: The transitive property of equality can be represented using angles as follows

Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B  also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.

Step-by-step explanation:

Answer:

x^2+2xh+h^2+2

Step-by-step explanation:

F(x+h)=(x+h)^2+2 = x^2+2xh+h^2+2.

Answer:

I think the answer is 4)may be negative

amount saved = 129.99 - 79.99 = 50 dollars

Divide this over the original amount (129.99) to get

50/129.99 = 0.3846449726902 approximately

This rounds to 0.3846 and converts to 38.46% after you move the decimal point over to the right 2 spots.

Answer: 61.5% Or 62%

Step-by-step explanation:

79.99/129.99= .61535502730979

Move the decimal two times to the left to get 61.5%

If you round it to the nearest decimal you get 62%

Answer: 6 dollars

Step-by-step explanation:

Answer: 12.07 ounce/gallon.

Step-by-step explanation:

given data:

desired ratio = 90grams / liter of water.

ratio In ounce/ gallon

first we convert our grams to ounce

= 98grams / 28.35

= 3.175 ounce.

converting liter to gallons

= 1/3.8

=0.263 gallons

therefore;

= 3.175 ounce / 0.263 gallons

= 12.07 ounce/gallon.

Answer:

Total earning in the summer = $1440

Step-by-step explanation:

Earning per hour for Samuel = $7.50

No. of hours worked in a day = 6

Earning for a day = Earning per hour for Samuel *No. of hours worked in a day

Earning for a day =  $7.50 *6 = $45

___________________________________________________

No of days worked in a week by Samuel = 4

Earning for week = Earning for a day *No of days worked in a week by Samuel

Earning for week =  $45*4 = $180

_____________________________________________________

No. of weeks worked in summer = 8

Total earning in the summer = Earning for week *No. of weeks worked in summer

Total earning in the summer =  $180*8 = $1440  (Answer)

Answer:

x= 7

Step-by-step explanation:

Let the unknown number be x

[tex] {x}^{2} = 49[/tex]

Square root both sides

[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]

Simplify

[tex]x = 7[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

Create an equation

[tex] \sf{ {x}^{2} = 49}[/tex]

Squaring on both sides

[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}[/tex]

[tex] \dashrightarrow {\sf{ \: x = 7}}[/tex]

Hope I helped!

Best regards!

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

7r-3r=16

4r=16

÷4 ÷4

r=4

11) [tex]\frac{4}{5}[/tex]m+2=6

    -2  -2

[tex]\frac{4}{5}[/tex]m=4

÷[tex]\frac{4}{5}[/tex]  ÷[tex]\frac{4}{5}[/tex]

m=4

12) 2(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) 5(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)6(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) [tex]\frac{2s}{5}[/tex]-[tex]\frac{s}{2}[/tex]=40

x5   x5

2s-[tex]\frac{s}{2}[/tex]=200

    x2 x2

2s-1s=400

1s=400

÷1  ÷1

s=400

Answer:

see below

Step-by-step explanation:

9)  x = 22

10) r = 4

11)  m = 5

12) p = 3

13) x = 6

14)  x = -3

15)  s = -400

Answer:

13 mm

Step-by-step explanation:

Given that scale from actual coin to the photo is

8 mm to 2 cm.

Distance across the coin in photo  is 3.25 cm.

To find:

Distance across the actual coin = ?

Solution:

First of all, let us learn about scaling concept.

The concept of scaling is used to represent the actual object as as image so that it can be drawn on a paper.

This scaling can result in a smaller image or a bigger image depending upon the size of object.

Here, 8 mm coin is represented as 2 cm coin on the photo.

Let us use unitary method to identify the distance across actual coin to the distance across photo.

2 cm ---- 8 mm

1 cm ------ [tex]\frac{8}{2} = 4\ mm[/tex]

3.25 cm ------- 4 \times 3.25 mm = 13 mm

Answer:

B.  16

Step-by-step explanation:

x² − 8x = 10

x² − 8x + (-4)² = 10 + (-4)²

x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.

to finish the equation..

x² − 8x + 16 = 26

(x - 4)² = 26

[tex]\sqrt(x - 4)^2 = \sqrt{26}[/tex]

x = [tex]\sqrt{26} + 4[/tex]

x = [tex]4 - \sqrt{26}[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{B. \ 16}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]x^2-8x=10[/tex]

The equation is in the form ax² + bx = -c. The value of b in the equation is -8.

To complete the square, we need to add (b/2)² = (-8/2)² =  -4² = 16 to both sides.

[tex]x^2-8x+16=26[/tex]

Factoring left side of the equation.

[tex](x-4)^2 =26[/tex]

Taking the square root of both sides.

[tex]x-4=\pm\sqrt{26}[/tex]

Adding 4 to both sides.

[tex]x=4\pm\sqrt{26}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

none of them are right

Step-by-step explanation:

a is 254.6153846153846.

b is 25.96078431372549

c is 2.570873786407767

d is 0.0262178217821782

if b would to be 2,648 divided by 100* it would correct but sadly none of them are correct.

Answer:

The only option that comes close is option 2.

Explanation:

Put everything into your calculator as you see it:

26,480 / 104 = 254.61

2,648 / 102 = 25.96

264.8 / 103 = 2.57

2.648 / 101 = 0.02

Answer:

that'd be 200............

Answer:

5 inches

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here A = 25, b = 5 , then

25 = 5h ( divide both sides by 5 )

5 = h

That is the height is 5 inches

Answer:

$22.50

Step-by-step explanation:

Let's write what we know.

$10 a month bonus

+ $0.50 / per item of the month

$2 per compliment

We can write an equation:

T = Total bonus for the month

i = number of item of the month sales

c = number of compliments

T = $10 + $0.50i + $2c

i = 17

c = 2

Plug in the values:

T = $10 + $0.50i + $2c

T = $10 + $0.50( 17 )+ $2( 2 )

T = $10 + $8.50 + 4

T = $22.50

Her bonus for this month is $22.50

Jenae bonus for this month is $22.50.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that Jenae works at a clothing store and gets a bonus of $10 a month, plus $0.50 every time she sells the item of the month.

$10 a month bonus + $0.50 / per item of the month

$2 per compliment

We can write an equation;

T = Total bonus for the month

i = number of item of the month sales

c = number of compliments

T = $10 + $0.50i + $2c

i = 17

c = 2

Plug in the values;

T = $10 + $0.50i + $2c

T = $10 + $0.50( 17 )+ $2( 2 )

T = $10 + $8.50 + 4

T = $22.50

Hence, Jenae bonus for this month is $22.50.

Learn more about equations here;

https://brainly.com/question/10413253

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Answer:20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

m

Answer:

x = 30 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

This means that 2x + 2 + 3x + x - 2 = 180.

We can then combine like terms, getting 6x = 180.

We can then divide both sides by 6, getting x = 30 degrees.

Answer:

x = 30

Step-by-step explanation:

Every triangle equals 180. So make an equation first:

2x + 2 + 3x + x - 2 = 180

Next Combine Like Terms:

6x = 180

Then Divide by 6 On Both Sides:

x = 30

Answer: draw a seconded line using a straightedge so that it intersects the first

Step-by-step explanation:

In order to ensure that the second slat is parallel to the first slat, Katie should Draw a second line using a straightedge so that it intersects the first.

Katie should use a straightedge tool to draw a second line on the diagram such that this line intersects with the first line.

This will then allow her to draw a second slate such that it is parallel to the first slat based on the dimensions provided by the second line.

Find out more on constructing parallel lines at https://brainly.com/question/13154179.

#SPJ2

B or D

Either one of them

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

You have one orange and your friend gives you another, then you will have 2.

Hope this helps ;) ❤❤❤

Step-by-step explanation:

The domain of a graph is all of the possible x values, and the range is all possible y values.

7. The graph goes on for both the x and y values, so the domain is (-inf, inf) and the range is (-inf, inf).

8. In this case, the domain is also (-inf, inf), but the range is [-2, inf) as there are no y values less than -2.

9. The domain is [-2, 2], as the x values only range from -2 to 2. The range is [-3, 3] as the y values range from -3 to 3.

10. The domain is (-inf, inf) because all x values are possible. The range is [-1, 1], as there are no y values greater than 1 or less than -1.

Answer: 3. 4 2/3 ÷ √4/8           4. 4 2/3 - √4/8

Step-by-step explanation:

irrational number will never be changed into rational number when they do any operation with rational numbers.

4 2/3 is a rational number, which means the second term in the expression must be rational in order to make the expression entirely rational

√3 is not rational, thus, all the expressions that contains √3 is irrational.

The remaining have √4, but √4 is rational because simplifying it will become 2, and so expressions with √4 is rational

Answer:

Third and fourth.

Step-by-step explanation:

The first one is not because the second number is not rational; [tex]\sqrt{3}[/tex] is not rational.

The second one is not either for the above reason.

The third is because [tex]\sqrt{4}[/tex] is 2, which is rational.

Also the fourth for the previous reason.

And not the fifth for the first reason.

Answer:

A

Step-by-step explanation:

if we had a economic turn down, basically people would lose money, so that means the consumers, so the producers will have a bunch of left over products because the people can't afford to buy as much, which means the company loses money, which means the employees must be let go of so the business doesn't go out of business

A] Economic Downturn could influence Employer to reduce number of workers at business.

Economic Downturn is a slowdown in economic activities for a considerable period of time. It is characterised by low demand by consumers & low production levels in businesses.

This situation implies that a rational employer would reduce the workers employed, as there is lesser demand & need of production.

Better educated workers, new location' opening, high demand of goods : are rather likely to increase employment levels instead of decreasing.

To learn more, refer https://brainly.com/question/1253307?referrer=searchResults

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]