What is the product?
8.25 x
1
5
0.82
O 1.65
0 8.25
16.5​

Angles ECD  and CEF add to 180

40+140 = 180

So that means we have EF parallel to CD (due to the same side interior angle theorem)

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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.

In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.

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

So far we have

AB || CD

CD || EF

Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.

It's like saying "P --> Q and Q --> R, therefore P --> R"

Answer:

Water freezes at 32 °F.

Answer:

1

Step-by-step explanation:

split the shape to triangle and a rectangle

the rectangle at the original trapezoid has 2 squares in width and 3 squares for height multiply those numbers by 1/2 you will get 1 square for width and 1.5 squares for the height which is showen in option 1

Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

Answer:

T(H) = -3H + 50.

Step-by-step explanation:

The constant will be 50 degrees Celsius. The surface temperature at the location will not change. The temperature decreases by 3 degrees Celsius for every kilometer going up, so the slope will be -3 degrees.

You are trying to find the temperature on the planet, and you are changing the kilometers of altitude to find the temperature. The x-variable is your independent variable, which means that you will be changing the x-variable. So, H is your x-variable while T is your y-variable.

T = -3H + 50.

To graph, we can use the Math is Fun Function Grapher and Calculator. The graph is seen below.

Hope this helps!

First frame is for b and second frame is for c

Answer:

He cut 6 slices

3/4 (leftover bread) equals to six eights (6/8)

Answer:

f(-2)=13

Step-by-step explanation:

We are given the function:

f(x)= 5-4x

and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.

We must substitute -2 in for each x.

f(-2)= 5 - 4(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 4 and -2.

⇒ 4 * -2 = -8

f(-2) = 5 - -8

Two negative signs in a row become a positive sign.

f(-2)= 5+8

Finally, add 5 and 8.

f(-2)= 13

The function f(x)= 5-4x evaluated for f(-2) is 13.

Answer:

x=30

Step-by-step explanation:

to find the value of x you have to find K(constant number).

[tex]\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\ 3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30[/tex]

Answer:

The value of x is 30

Step-by-step explanation:

Step 1: Find the scale factor

[tex]\frac{FA}{F B} =\frac{45}{27}[/tex]

Step 2: Use the scale factor to solve for x

[tex]\frac{45}{27} =\frac{x}{18}[/tex]

[tex](45)(18) = 27x[/tex]

[tex]810 = 27x[/tex]

[tex]x = 30[/tex]

Therefore x = 30

Answer:

ohfofhodhodhodohyororoyroyriydiydigdigdyidiydiydiydoyfofororoyforoydoyoydiyriyiriy

Answer:0.80

Step-by-step explanation:please i don't really know how to explain this i am very sorry

2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes

domain: (−∞,∞)

range: [−9,∞)

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

Explanation:

The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞)  when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.

The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.

Answer: It is A, I did this question many times before.

(−∞,∞)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-d - 4 = -8

-d = -4

d = 4

Answer:

d= 4

Step-by-step explanation:

4d - 4 = 5d – 8

Subtract 4d from each side

4d-4d - 4 = 5d-4d – 8

-4 = d-8

Add 8 to each side

-4+8 = d-8+8

4 =d

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

Answer:

the answer will be 60  

Step-by-step explanation to find x and y's value:

x = 180-2(60)

now, we will do the same method to find y's value

y = 180-120 which will be 60

i hope this helps :)

Answer:

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

Given that:

Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98

α = 1 - C = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01.

The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33

The margin of error (E) is:

[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]

The confidence interval = μ ± E = 17 ± 2 = (15, 19)

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

According to Geometric Progression :

[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]

a(nth) = nth term of the G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.

Now,

[tex]24 = 3 \times {r}^{4 - 1} [/tex]

[tex]r = 2[/tex]

The G.P. Is 3, 6, 12, 24.

Thus, p = 6 and q = 12

Answer:

The surface area of the sphere 1s 615.75 sq. unit.

Step-by-step explanation:

The surface area of a sphere [tex]A_s[/tex] = 4·π·r²

Given that the radius of the sphere = 7, we have

The surface area of the sphere = 4 × π × 7^2 =  615.75 sq. unit    

The surface area can also be derived from the volume of the sphere by differentiation as follows;

Volume of a sphere, V = 4/3·π·r³

(The volume of the sphere is 4/3·π·7³ = 1436.76 cube unit)

dV/dr = d(4/3·π·r³)/dr = 3×4/3·π·r² = 4·π·r²

The surface area of the sphere = 615.75 sq. unit.

Answer:

His speed is 2 m/s

His velocity is 0 m/s

Step-by-step explanation:

I'll assume the question is

Kia was 200 m north of the Library when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes hist round-trip.

Kia's distance from the Library is 200 m

the round-trip took him 200 s

The total distance for the round trip = 200 x 2 = 400 m

His displacement for the round trip = 0 m (since he returns to his original position)

His speed = distance/time = 400/200 = 2 m/s

His velocity = displacement/time = 0/200 = 0 m/s

Answer:

193.21 m

Step-by-step explanation:

make a vertical line down from the helicopter that is 100m

tan 61.5 = 100/x       x = 54.3 (distance from the point directly below helicopter                                                                  to boat)

tan 22 = 100/x          x = 247.51 (distance from the point directly below helicopter to the island

247.51 - 54.3 = 193.21 (distance from boat to island)

Answer:

multiply 3 by 18

Step-by-step explanation:

1 page

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

3 minutes

Multiply the top and bottom by 18 to get to 18 pages

1*18 page

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

3*18 minutes

18 pages

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

54 minutes

Answer:

multiply 3 by 18

Step-by-step explanation:

rate = number of pages / time

rate = 1 page/3 min = 1/3 page/minute

pages = rate * time

time = pages / rate

time = 18 pages / (1/3 page/minute)

time = 18 * 3 minutes

Answer: multiply 3 by 18

Answer:

-25

Step-by-step explanation:

Answer:

Hey there!

When we have a^b, b is the power.

Thus, in -5^2, 2 is the power.

Let me know if this helps, or if you need more help :)

Explanation:

We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.

The sum must be 8 so x+y = 8.

Choice A is the complete list showing all possible sums of 8.

Choice B is missing (5,3) and (6,2).

Choice C is missing (4,4)

Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.

Hey there! I'm happy to help!

First, we want to see how many Japanese yen there are for 1 U.S. dollar.

This slash (/) means per or for. We see that in the column (USD/1 Unit) the Japanese yen cell has 0.01007. This means that that is how many US dollars there are for each Japanese yen.

However, we want to find how many Japanese yen there are per U.S. dollar. Well, this is the same as writing Yen/1 USD, and in that column we have 99.30487, which means that for every 1 U.S. dollar we have, we have 99.30487 Japanese yen. This means that for $100, we would have 9930.487 Japanese yen.

This / can also represent a dividing sign or a fraction.

What we did is simply take our Units/1 USD and we multiplied the result by $100 (99.30487/1=99.30487, 99.30487×100=9930.487). This matches with the answer 100 USD(99.30487 yen. 1 USD)

Currency exchange is pretty tricky, but if you keep on practicing you'll get very good at it!

Have a wonderful day! :D

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Find out more at https://brainly.com/question/10472985.

Answer:

D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Each person is

expected to drink one can of soda.

Let p=price of each soda

q=number of people in the picnic

Total cost of soda=price of each soda × Total people attending the picnic

Total cost of soda=p×q

Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to

determine the total cost of the soda.

Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas

A. Max is incorrect because he calculated the cost of one can of soda

B. Diego is incorrect because he calculated the price of one can of soda

C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas

D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Answer:

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

[tex]A(n) = a ({r})^{n - 1} [/tex]

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 1/4

r = - 2

Since we are finding the third term

n = 3

So the third term of the sequence is

[tex]A(3) = \frac{1}{4} ({ - 2})^{3 - 1} [/tex]

[tex]A(3) = \frac{1}{4}( { - 2})^{2} [/tex]

[tex]A(3) = \frac{1}{4} \times 4[/tex]

We have the final answer as

Hope this helps you

Answer:

x =20.8

Step-by-step explanation:

We can find the value of 1/2 of x using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 12^2

a^2 = 36+144

a^2 = 108

Take the square root

sqrt(a^2) = sqrt( 108)

a =sqrt(36*3)

a = sqrt(36) sqrt(3)

a = 6sqrt(3)

Now x = 2 times the length of a

x = 2 * 6 sqrt(3)

x = 12 sqrt(3)

x =20.78460969

x =20.8

Answer:

8

Step-by-step explanation:

yº  (in words, 'y to the power zero') is simply 1.  We then have

3yºx+x-y  =  3(1) + 2x - y  =  3 + 2x - y.

Substituting 1 for x and -3 for y, we get the expression value:

3 + 2 - (-3)  =  8

Answer:

C

Step-by-step explanation:

The end of a slinky is moved vertically up and down to simulate a wave.