The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.




What is the length of the lower base, ZX?


14 units

units

18 units

units

Answer:

A

Step-by-step explanation:

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40

If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

We have given that,

Rebecca is given two triangles, ABC and DEF.

At first glance, she thinks that the triangles are congruent.

Therefore we have

Rotation is circular movement.

A rotation is the movement of something through one complete circle.

The daily rotation of the earth upon its axis.

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.

Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

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Answer:

It's A 100%

Step-by-step explanation:

Took the quiz

Answer:

The slope is 3.

Step-by-step explanation:

The answer is 3( slope ) because

6÷2=3.

Improper fraction = 3/1

Answer:

5.5

Step-by-step explanation:

divide both sides

Answer:

1.5*w^2 + 15*w + 36

Step-by-step explanation:

We have to make the width of the portrait be 'w'

 in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w

Frame width is 3 inches on all sides.

Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.

I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.

From the figure, we have to:

AB = 3 + w + 3 = w + 6

BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6

We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,

Area = (w + 6) * (1.5 * w + 6)

Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36

Area = 1.5*w^2 + 15*w + 36

That is, the expression for the framed portrait area in terms of the width 'w' is:

1.5*w^2 + 15*w + 36

Answer:

x = 7.5

Step-by-step explanation:

Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values

[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

Answer:

multiplying and dividing

Step-by-step explanation:

Answer:

85 square units

Step-by-step explanation:

The area of a kite is half of the product of the diagonals.

The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.

Now we need to find the length of the vertical diagonal.

The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.

Upper vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = [5sqrt(2)]^2

25 + x^2 = 50

x^2 = 25

x = 5

The upper segment of the vertical diagonal has length 5.

Lower vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = 13^2

25 + x^2 = 169

x^2 = 144

x = 12

The lower segment of the vertical diagonal has length 12.

The length of the vertical diagonal is the sum of the lengths of the two vertical segments:

5 + 12 = 17

The diagonals of the kite measure 1`0 and 17.

area = d1 * d2/2

area = 10 * 17/2 = 170/2 = 85

Answer:

child: 14

Adult : 2

Step-by-step explanation:

2A + 3C = 46------------eqn 1

3A + 5C = 76------------eqn 2

eqn 1 x 3 : 6A + 9C = 138----------- eqn 3

eqn 2 x 2: 6A + 10C = 152-----------eqn 4

eqn 4 - eqn 3: 1OC - 9C = 152 - 138

1C = 14

subst 1C = 14 into eqn 1

2A + 3(14) = 46

2A = 46 - 42

2A = 4

1A = 2

The answer will be B. 72

Answer:The answer to this problem is 72 fluid ounces

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you look at the angle they're the same which gives you one hint.  Then both side lengths are also equal making both triangles congruent.

This follows SAS( Side-Angle-Side)

Answer:

yes is the correct answer

Step-by-step explanation:

Answer: B. The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

14 * 5 = 70

10 * 3 = 30

70 + 30 = 100

14 + 10 = 24

Answer:

y=14

x=10

Step-by-step explanation:

x+y=24

3x+5y = 100

multiply the first equation by 3 and subtract from second one :

3x+3y=72

-

3x+5y=100

equal : -2y=-28

y=14

x=10

Answer:

$1.19

Step-by-step explanation:

Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.

From the given information, we can form 2 equations.

9b +4n= 22.37 -----(1)

3b +4n= 15.23 -----(2)

Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.

(1) -(2):

9b +4n -(3b +4n)= 22.37 -15.23

9b +4n -3b -4n= 7.14

6b= 7.14 (simplify)

b= 7.14 ÷6 (÷6 on both sides)

b= 1.19

Thus, a cheeseburger cost $1.19.

Answer:

Step-by-step explanation

1.19

Answer:

10.67%  per quarter

42.68%  per year

Step-by-step explanation:

The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate  formula  in excel as below:

=rate(nper,pmt,-pv,fv)

nper is 1 year multiplied 4 quarters=4

pmt is the amount invested  periodically and it is zero

Assume that $1000 was invested

FV which is the future value=1.5*$1000=$1,500

PV=$1000

=rate(4,0,-1000,1500)

rate=10.67%

rate per year=10.67% *4

Answer:

1. 5

2. -3

3. -4

4.  0

Step-by-step explanation:

Substitute the value of x in the equation with each of the x's given in the table.

Example:

When x = -1

y = -1^2 - 4 x -1 = 1 - 4 = -3

When x = 4

y = 4^2 - 4 x 4 = 16 - 16 = 0

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Answer:

166.25 cm²

Step-by-step explanation:

W = L - 8

2W + 2L = 54

2(L - 8) + 2L = 54

2L - 16 + 2L = 54

4L - 16 = 54

4L = 70

L = 17.5, W = 9.5

A = 17.5 x 9.5 = 166.25 cm²

Answer:

Step-by-step explanation:

That'd be (1/4)x or x/4.

Answer:

The answer is A on edg 2020

Step-by-step explanation:

i got it right.

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Answer:

4n+(2n-9)

4n+2n-9

6n-9 =the total age

6n=9

divide by 6 both sides.

n=9/6

n=1.5 years.

substitute the value of n in the age of the father and the daughter.

Age of father=4×1.5

6years.

Age of Daughter = (2×1.5)-9

3-9

=-6 years

Total age

6-6=0

Answer:

111 units

Step-by-step explanation:

the diameter is double the radius so divide 222 by 2 to get 111 units.

Answer:

1. (4,2) and (-2,-4)

2. (6,3) and (3,-6)

3. (1,8) and (7,-4)

Step-by-step explanation:

Answer:

A = 25pi m^2

Step-by-step explanation:

We know the diameter, we need the radius

r = d/2

r = 10/2 = 5

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi m^2

Answer:

The volume of the solid is the volume of the prism minus the volume of the cylinder.

For the cylinder, diameter = d = 4 cm

radius = d/2 = (4 cm)/2 = 2 cm

V = volume of prism - volume of cylinder

The volume of a prism is length times width times height.

The volume of a cylinder is pi times the square of the radius times the height.

V = LWH - (pi)r^2h

V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)

V = 540 cm^3 - 60pi cm^3

V = (540 - 60pi) cm^3

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A = [2 - 3(2 - 3) - 1] - 1

The operations inside parenthesis are performed first. We have:

A = [2 - 3*(-1) - 1] - 1

The multiplication is performed next. We have:

A = [2 - (-3) - 1] - 1

Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:

A = 2 - (-3) - 1 - 1

   = 2 + 3 - 1 - 1

   = 5 - 2

   = 3

Hope this helps!

Answer:

Use the slope formula to find the slope   . m = 0

Step-by-step explanation:

Ans:

3/2. your welcome

Step-by-step explanation:

Answer:

Total time  ≈ 100(nearest minutes)

Step-by-step explanation:

The rates at which each student writes names per minutes can be calculates as follows.

First student

6 minutes = 7 names

1 minute = 7/6 names

second student

10 minutes = 17 names

1 minute = 17/10 names

Third student

15 minutes = 23 names

1 minute = 23/15 names

Total time = 440/total rate

Total time = 440/1.17 + 1.7 + 1.53

Total time = 440/4.403

Total time = 99.931

Total time  ≈ 100(nearest minutes)

Answer:

[tex]4 {e}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

Answer:

10/1 = 10

Step-by-step explanation:

1) Subtract: 8 - 3 = 5

2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15

3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30

4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6

5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10