Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for x and BD. Give both answers below.

Work Must Be Shown For This Problem! The Figure Shown Below Is A Rectangle. Make Sure To Solve For X

Answers

Answer 1

Answer:

x = 10

BD = 74

Step-by-step explanation:

Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.

Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.

Answer 2

Answer:

x=10 and BD=74

Step-by-step explanation:

In a rectangle, the two parts of the diagonals are always equal to each other. This means that AE=CE=BE=ED.

So, if AE is 3x+7, this means DE and BE are also 3x+7, so BD is twice that, or 2(3x+7) which when you multiply it is 6x+14.

Oh, also, since it says CE=37, this means that 3x+7=37

3x+7=37

    -7   -7

3x=30

x=10

Now that you know that BD is 6x+14, and x is 10, simply multiply it.

6(10)+14=BD

60+14=BD

74=BD


Related Questions

The ratio of red marbles to blue marbles in a bag is 2 to 5. If there are 60
more blue marbles than red marbles in the bag, how many marbles are
there all together?​

Answers

Answer:

140

Step-by-step explanation:

Let's call the red and blue marbles 2x and 5x. We know that 5x = 2x + 60, so x = 20. The sum of all marbles in the bag is 2x + 5x = 7x which is 7 * 20 = 140 marbles. Hope this helps!

Answer:

84 in all.

Step-by-step explanation:

if there are 2 red marbles to every 5 marble than 60 / 5 = 12, 12 x 2 = 24 + 60 = 84.

The average surface temperature on
Jupiter is -162°F The average surface
temperature on Saturn is 46°F less than
on Jupiter. What is the average surface
temperature on Saturn?

Answers

Answer:

-208

Step-by-step explanation:

-162 - 46 = -208

Answer:

-208°F

Step-by-step explanation:

-162°F - 46°F = -208°F

A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?

Answers

Answer:

see below

Step-by-step explanation:

Let C = chess

S = swimming

F = football

x = football only

y = all three sports

z = swimming only

x+y+ 8+12 = 32  those who like football

y+z+8+16 = 40  those who like swimming

7+x+8+y+12+10+16+z = 72  all children

Simplifying these equations

x+y = 32-20 = 12

y+z = 40-24 = 16

x+y +z = 72-53 = 19

Substituting x+y = 12 into the last equation

12 +z = 19

z = 7

y+z = 16  

y = 9

x+y =12

x =5

Swimming  only is 7

Football only is 5

Swimming and football y+8 = 9+8 = 17

P( chess or swimming but not football) = (10+16+z)/ total

                                                                 =(10+16+7)/ total

                                                                 =33/72

P( no  active sport) = chess only or no sport/total

                                 =(10+7)/72

                                                                 

Find the surface area. Show work

Answers

SA: 2xLxW + 2xWxH + 2xLxH
SA: 2x4.5x20 + 2x4.5x23 + 2x20x23
SA: 180 + 207 + 920
TSA: 1307cm2 (squared)

i need help with 2 of these

Answers

Answer:

1false

2true

Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason

1 false
2 true
jajaj

Can someone help me with this question?
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening.

Answers

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]

                             =  [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]

                             =  0.0155

x^2 + 4x = 6
solve by completing the square plz show step by step

Answers

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+   )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP

Answers

Answer:

( x = 17° )

Step-by-step explanation:

Consider the following steps;

[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]

Solution ; ( x = 17° )

What is the Product?

Answers

Answer:

C

-9,-8 and 2,0

Step-by-step explanation

edge 2021

The graph of a system of equations is shown below.which ordered pair is the best estimate for the solution to the system of equations?
A) (-6,-2)
B) (-3,2)
C) (4,-4)
D) (6,8)

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:

The solution is given by the coordinates of the point where the lines intersect.

From the graph we see that it is  the point where x = -3 and y = 2.

Need help...with this graph

Answers

Answer:

The graph with coordinates x6,y8

Step-by-step explanation:

the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9 complete the table of costs

Answers

Answer:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

Step-by-step explanation:

Given:

The above table

Ratio; Polyester Fabric : Silk = 2:9

Required

Complete the above table

Provided that the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9;

To complete rows of polyester fabric

We simply multiply cost by ratio of polyester fabric ratio (2)

To complete rows of silk fabric

We simply multiply cost by ratio of silk fabric ratio (9)

This is as follows:

When length = 2m

Polyester Fabric = 2 * 2 = 4

Silk Fabric = 2 * 9 = 18

When length = 4m

Polyester Fabric = 4 * 2 = 8

Silk Fabric = 4 * 9 = 36

When length = 8m

Polyester Fabric = 8 * 2 = 16

Silk Fabric = 8 * 9 = 72

When length = 11m

Polyester Fabric = 11 * 2 = 22

Silk Fabric = 11 * 9 = 99

Hence, the complete table is as follows:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

Is the answer a? If not can someone explain

Answers

Answer:

c . Quadratic binomial

Step-by-step explanation:

a qudratic expression is always in form of ax²+bx + c while a quadratic trinomial is in the form of ax³+bx²+cx+d .

I hope it helps

Answer:

c.) quadratic binomial

Step-by-step explanation:

Quadratic equation:

ax² + bx + c

The polynomial is in this form and like all quadratics forms a parabola, a u-shape, when graphed. Therefore, it is a quadratic equation.

Binomial = an expression with two terms

This polynomial has three terms: x², and 5x, making it a quadratic binomial.

A flag pole that is 20 feet tall casts a shadow 8 feet long.
At the same time of day, a building casts a shadow 25
feet long. How tall is the building?​

Answers

Answer:

62.5 ft

Step-by-step explanation:

→You can set up a proportion, like so:

[tex]\frac{20}{8} =\frac{x}{25}[/tex]

→Cross multiply:

[tex]\frac{500}{8x}[/tex]

→Divide 500 by 8:

x = 62.5

Answer:

62.5 feet

Step-by-step explanation:

8/20

25/x

25*20/8 = x

x = 62.5

Please help!!!!!
#34

Answers

The answer is c
Because x doesn’t repeat

Answer:

c

Step-by-step explanation:

you know what output you get from the input.

For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.

Even though there are two inputs for one output, it is still a function.

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

If there are two outputs for one input, it is not a function.

For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.

//// hope that this helps you and have a great day////

Slope=8/5, y-intercept =-4

Answers

Y=8/5x-4 this is the information in slope intercept form.

Hope this helps!

Use the figure to answer the questions below.

Part A: Give the most descriptive name for the figure. Justify your answer.

Part B: Solve for x.

Part C: Find the length of the longer side.

Answers

Answer:

parallelogramx = 560 units

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

__

B. Diagonals of a parallelogram cross at their midpoints, so ...

  9x +3 = 10x -2

  5 = x . . . . . . . . add 2-9x to both sides

__

C. The longer side is 12x = 12(5) = 60 . . . . units

Which correlation coefficient could represent the relationship in the scatterplot?

A) 0.89
B) –0.78
C) –0.36
D) 1.23

Answers

Answer:

B is the awsnsr to your question

Step-by-step explanation:

Answer:

B) –0.78.

Step-by-step explanation:


[tex]g = \frac{ {v}^{2} - {u}^{2} }{2h} [/tex]
Given that,
[tex]u = 480 \\ v = 500 \\ h = 10[/tex]
find the value of g.​

Answers

Answer:

g=1960

hope it helped

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Plz do it for meee x

Answers

Answer:

2,400cm²

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID = L×B× H

WHERE L is LENGTH =20cm

B=15cm

H= 8cm

:• VOLUME=20cm ×15cm ×8cm

=2,400cm²

Answer:

Volume = 2400 cm³

Step-by-step explanation:

Volume of Cuboid = [tex]Length*Width*Height[/tex]

Where L = 20 cm, W = 8 cm and H = 15 cm

Volume = [tex]20*8*15[/tex]

Volume = 2400 cm³

At a charity raffle event they are giving out tickets labeled 1 through 10 when people come through the doors. If you are given an even-numbered ticket, you are given a prize at the end of the evening. The table shows the results of 500 guests. What is the relative frequency for the guests who will receive a prize? Ticket Number 1 2 3 4 5 6 7 8 9 10 Frequency 48 42 41 56 67 43 39 41 55 68

Answers

Answer:

Relative frequency for guest who will win the prize:

Relative frequency = 50%

Step-by-step explanation:

Total No. of guest = 500

No. of Guests with even-numbered tickets:

Ticket NO. 2 = 42

Ticket NO. 4 = 56

Ticket NO. 6 = 43

Ticket NO. 8 = 41

Ticket NO. 10 = 68

Total No. of Guest with even-numbered ticket = 42+56+43+41+68

Total No. of Guest with even-numbered ticket = 250

So.

Relative frequency = (frequency of desirable event/ total frequency) · 100

Relative frequency = (250/500)· 100

Relative frequency = 50%

3. If x = 6, y = -2, and z = 3, what is the
value of the following expression?
(x2 + xy)/z2
a. 2
b. 19
C. 2
d. 6

Answers

d. 6
because
[6(2) + 6(-2)]/3(2)
[12+(-12)] /6
0/6= 6

solve the system and the value of y 3x-5y=-35 2x-5y=-30

Answers

Answer:

Step-by-step explanation:

3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

Answer: It is A. 4

Step-by-step explanation:3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

(Happy to Help!) (0.<)

I need help!!!!!!!please.

Answers

Answer:

C +-4

Step-by-step explanation:

I can’t see the picture sorry

If you cut 10 circles out of a rectangular board with an area of 64in2, what is the maximum area of each circle?

Answers

Answer:

the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero

Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.

Answers

Step-by-step explanation:

I'm not sure what the square root method is, but I'm assuming that you factor.

This is how I would solve it:

[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]

Since time can't be negative, you rule out the -3/2.

Answer:

[tex]t = \frac{3}{2}[/tex]

Find the volume of a pyramid with a square base, where the area of the base is

12.7 ft- and the height of the pyramid is 17.8 ft. Round your answer to the nearest

tenth of a cubic foot.

Answers

Answer:

Volume, [tex]V= 75.35\ \text{feet}^3[/tex]

Step-by-step explanation:

We have,

Area of the base of of a pyramid with a square base is 12.7 ft

Height of the pyramid is 17.8 ft

It is required to find the volume of of a pyramid with a square base.

The formula used to find the volume of a pyramid with a square base is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

Plugging all the values in above formula

[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]

So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].

Answer: 75.4 ft^3 when rounded

Step-by-step explanation:

Volume of Pyramid V=1/3BH

Area of base= 12.7

h=17.8

V=1/3 (12.7)(17.8)

V=75.353333

V=75.4 ft^3

what’s the midsegment

Answers

Answer:

17 units

Step-by-step explanation:

The midsegment of a triangle theorem states that:

The midsegment is 1/2 of it's parallel side.

So,

6x + 5 = 1/2(4x + 26)

6x + 5 = 2x + 13

6x - 2x + 5 = 13

4x + 5 = 13

4x = 13 - 5

4x = 8

x = 8 ÷ 4

x = 2

Substitute x to the midsegment.

6x + 5

6(2) + 5

12 + 5

17

Hello

Here is the answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.  It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please mark

Thanks

Jake

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew
spent a total of $65 for membership and gym use. If the equation 10+5x = 85 models the situation, how many times did he
use the gym last month?
11
O 12
13
15

Answers

Answer:

11

Step-by-step explanation:

11x5+10=65

Answer: 11 on edge

Step-by-step explanation:

subtract 10 from both sides of the equation to get: 5x=55

then, divide both sides by 5 to get: x=11

so he used the gym 11 times last month!

Hope this helps have a great day!

Please answer this asap! 20 POINTS :D

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

there are two blues

and there are 8 in total

so its 2/8

Answer:

1/4 = 25% chance.

Step-by-step explanation:

The probability of an event is equal to the amount of favorable outcomes divided by the total amount of outcomes.

There are 2 favorable outcomes (spinning blue). There are a total of 8 locations where the spinner can land.

We can say that 2/8 = 1/4 = 25% chance of spinning blue.

I hope this helps!

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