What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

[tex]Sum = 195500-79000 = 116500[/tex]

The mean without Deva's income is:

[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

25% of 40

=25/100×40

=0.25×40

=10 answer.

Answer:

[27,3) i think

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

You add common terms together.

(7p-2p)+(6q+q)

5p+7q

Hope I helped!

Answer:

x = -12

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

the first one.

Step-by-step explanation:

The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."

Answer:

I need some numbers to do this problem

Step-by-step explanation:

Answer:

Depends on the height of the ball and I don’t see that

Step-by-step explanation:

Answer:

£12083.52

Step-by-step explanation:

Given amount:

      Amount  = £14132.77

Percentage decrease = 14.5%

Solution:

To decrease the given amount by 14.5% implies multiply it by:

                [tex]\frac{100-14.5}{100}[/tex]  = 0.855

Now;

      Decreased amount  = £14132.77  x 0.855

      Decreased amount  = £12083.52

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

Answer:

132−15+12

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x^2-10x+4)+(10x^2-5x+8)

= 3x² - 10x + 4 + 10x² - 5x + 8

= 3x² + 10x² - 10x - 5x + 4 + 8

JKLM is a trapezoid. Statements A and E are correct.

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

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Answer:

1. Option B- y=12

2. Option D - 2

Step-by-step explanation:

1. 2(y - 4) + 8 = 12 + y

  2y - 8 + 8 = 12 + y

add like terms -8 + 8 is 0 so

2y = 12 + y

Subtract y

1y = 12

Divide by 1

y= 12

2. -4(2) - 6  > -14

    -8 - 6 > -14

      -14 > -14

    This is not true because -14 is not greater than -14, they are equal.

Hope this helps.

Answer:

Swimming speed, S = 1.50 km/hr

Step-by-step explanation:

Let Kailee's running speed be R

Let Kailee's biking speed be B

Let Kailee's swimming speed be S

Given the following data;

Time for swimming = 1 hour.

Time for biking = 1.75 hour.

Time for running = 1 hour.

Total distance = 55.5km

Translating the word problem into an algebraic equation, we have;

Biking speed = 2*8S = 16S

Running speed = 8S

We know that the distance covered by an object or body is given by the formula;

[tex] Distance = speed * time[/tex]

Now we would find the distance covered in each activity (biking, running and swimming).

For biking;

[tex] Distance, D_{1} = 1.75*16S [/tex]

Distance, [tex] D_{1} [/tex] = 28S

For running;

[tex] Distance, D_{2} = 1*8S[/tex]

Distance, [tex] D_{2} [/tex] = 8S

For swimming;

[tex] Distance, D_{3} = 1*S[/tex]

Distance, [tex] D_{3} [/tex] = S

The equation for the total distance covered in the triathlon is given by;

Total distance = sum of all distances covered

[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]

Substituting into the equation, we have;

[tex] 55.5 = 28S + 8S + S[/tex]

[tex] 55.5 = 37S[/tex]

[tex] S = \frac {55.5}{37} [/tex]

S = 1.50 km/hr

Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

Answer: False

Step-by-step explanation:

Answer:

It is false hope this will be

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

Answer: The points form a straight line.

Step-by-step explanation:

Answer: n2+7n+15−5=5−5

n2+7n+10=0

Step 2: Factor left side of equation.

(n+2)(n+5)=0

Step 3: Set factors equal to 0.

n+2=0 or n+5=0

n=−2 or n=−5

Answer:

n=−2 or n=−5

Step-by-step explanation: hope that helps

Answer: 1 extra card

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Answer:RTP,NM, X=7

Step-by-step explanation:

Tinanatamad akong isulat ang step by step sorry

Answer:

62

Step-by-step explanation:

96 divided by 2 = 48

48 - 14 = 34

48 + 14 = 62

34 + 62 = 96 (total cars washed)

You're welcome

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation: