What is the length of AB, given that figure ABCD is a rhombus?

A. 12
B. 4
C. 16
D. 8

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

The three angles are complementary to each other.

That means they add up to 90 degrees.

x + 2x + (x + 10) = 90

Combine like terms.

4x + 10 = 90

Subtract 10 on both sides.

4x = 80

Divide both sides by 4.

x = 20

==================================================

Explanation:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (4,-8). This point does move

C = (-4,-4) becomes C' = (-8,-8). This moves as well

So all you need to do from here is draw triangle A'B'C'.

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

Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.

Triangle with the three corner points at

Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.

Given:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2

A = (0,0) --> A' = (0,0).

B = (2,-4) --> B' = (4,-8).

C = (-4,-4) --> C' = (-8,-8).

Learn more about Dilation here:

https://brainly.com/question/13176891

#SPJ5

Answer:

A. 5

Step-by-step explanation:

6d+15<50

subtract 15 from both sides

6d<50-15

6d<35

divide both sides by 6

d<35/6

d<5 5/6

So he can only rent it for 5 days.  If he rented for 6, it would be $51, which is too much.

Solving the given inequality for d, we get...

6d + 15 < 50

6d + 15-15 < 50-15 <<-- subtract 15 from both sides

6d < 35

6d/6 < 35/6 <<--- divide both sides by 6

d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all

The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days

Any larger value of d is not allowed as it would make the total cost go over $50

Notice how I'm rounding down regardless how close 5.83 is to 6

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

we need picture

Step-by-step explanation:

probaby d tho

Answer:

22ft^2

Step-by-step explanation:

I am not sure if this is the correct answer since there were no numbers to the question you wrote out.

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

A = 27π

P =

Step-by-step explanation:

Well if it follows the same proportions as a square then the dotted line is 6 cm.

                                                      Triangle                                                                

So the area of a triangle is b*h / 2

b = 6

h = 6

6*6 = 36

36 / 2 = 18

A = 18cm^2

So to find the missing side or c we do 6^2 + 6^2 = c^2,

36 + 36 = c^2

72 = c^2

≅8

6 + 6 + 8

= 20cm

                                                       Half circle                                                                  

Now the area of a semicircle is,

pi r^2 / 2

So if the diameter is 6 then the radius is 3.

So we do 3*3 = 9

9 * pi = 9π^2

Perimeter: 6π

____________________________________________________________

Thus,

the area is 27π and the perimeter 26π.

Hope this helps :)

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

Answer:

144 units

Step-by-step explanation:

3x + 8 + 4x + 10 = 8x

7x + 18 = 8x

8x - 7x = 18

x = 18

8x is length of BC

8 × 18 is length of BC

144 units

Answer:

What is the length of segment BC?

144 units

explanation:

<3

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

=====================================

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

Answer:

67,108,864 or 4^13

Step-by-step explanation:

4^6*4^7=4^13 you basically just add the exponents since the base is the same.

Since these two powers have the same base of 4, you can multiply

them together by simply adding their exponents to get 4¹³.

This idea is called the product rule.

A common mistake in this problem would be to multiply

the bases together and give an answer of 16¹³.

It's important to understand however that the 4's in this problem can't

be multiplied together because they're not coefficients, they're bases.

When applying your exponent rules, your base will never change.

Answer:

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

x = 6,000 ⇒ 8,000 - x = 2,000  

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.

Answer:

125

Step-by-step explanation:

So saying something went up by 25% means that it is essentially

X + .25X

So in this case X = 100 and .25X = 25

So 100 + 25 = 125

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.