Which theorem or postulate could be used to prove the congruence of the triangles?

Answer:

A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.

Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

I have to make sure that there is at least one variable that directly effects another.

Some equations are y = 3x, y = 1.5x, and y = 2/3x.

Step-by-step explanation:

Step-by-step explanation:

So lets count the time between 10:53 and 1:05

7 Mins to 11

2 Hours to one

5mins to 1:05

Total 2 hours 12 mins divided by 2 to find the middle

1 hour 6 mins. We add 1 hr 6 mins to 10:53.

10:53 + 6mins equals 11:59

11:59 + 1hour = 12:59

Answer c

Answer:

[tex]\left(100\pi - 150\sqrt{3}\right)[/tex] square inches.

Step-by-step explanation:

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be [tex]10[/tex] inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment [tex]\sf CH[/tex] be a height on side [tex]\sf AB[/tex]. Since this triangle is equilateral, the size of each internal angle will be [tex]\sf 60^\circ[/tex]. The length of segment

[tex]\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}[/tex].

The area (in square inches) of this equilateral triangle will be:

[tex]\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}[/tex].

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

[tex]\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}[/tex].

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is [tex]10[/tex] inches, the radius of this circle will also be [tex]10[/tex] inches.

The area (in square inches) of a circle of radius [tex]10[/tex] inches is:

[tex]\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi[/tex].

The area (in square inches) of the circle that the hexagon did not cover would be:

[tex]\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}[/tex].

Answer: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Answer:

C

Step-by-step explanation:

=) Khan

Answer:

$1082

Step-by-step explanation:

28% of $46,392

=28 over 100 x 46,392

= 12989.76

Monthly Rent

=12989.76 over 12

=1082.48

Maximum monthly rent paid by Gias= $1082.48

Option A: 1082

Answer:

Option A

Step-by-step explanation:

A type I error is committed when a researcher rejects the null hypothesis when it is actually true.

The null hypothesis is: U <= 50%

The alternative is: U > 50%

Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the  time be t  seconds taken by Elene to  catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.

Answer:

551.7

Step-by-step explanation:

it is the square + the circle

15*25+πr²

375+π(15/2)²

375+π225/4

375+176.625=551.625

Answer:

E) 551.7 ft Squared

Step-by-step explanation:

First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle.            Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together.                         375 + 176.7 = 551.7

Answer:

x=8

RPS = 36

Step-by-step explanation:

QPS = 180

The two angles that form QPS

QPR + RPS = 180

7x+88 + 3x+12 = 180

Combine like terms

10x+100 =180

Subtract 100 from each side

10x = 180-100

10x = 80

Divide by 10

x =80/10

x = 8

RPS = 3x+12

        = 3(8)+12

         24+12

        36

Answer:

The range is different. (Last option)

Step-by-step explanation:

Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.

Answer:

64 meals

Step-by-step explanation:

24 ÷ 3/8

= 24 x 8/3

= 192/3

= 64 meals

Answer:

The volume of the new tent will be 27/8 times the volume of the original tent.

Step-by-step explanation:

First, you take the ratio of 6/4 and simplify it down to 3/2.

Next, you take the ratio, and have to get its volume. Volume is just one length CUBED, so you cube both sides.

Then, after you cube the simplified fraction, you get 27/8.

Answer:

54

Step-by-step explanation:

2x + 5y

Let x=12 and y = 6

2(12) + 5(6)

24+30

54

Answer:

54

Step-by-step explanation:

2x + 5y  ( x = 12)  ( y = 6)

2 ( 12 ) + 5 ( 6 )

24 + 30

= 54

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

Work Shown:

[tex]\frac{3}{x^2-9} + \frac{5}{x+3}\\\\\frac{3}{x^2-9} + \frac{5(x-3)}{(x+3)(x-3)}\\\\\frac{3}{x^2-9} + \frac{5x-15}{x^2-9}\\\\\frac{3+5x-15}{x^2-9}\\\\\frac{5x-12}{x^2-9}\\\\\frac{5x-12}{(x+3)(x-3)}\\\\[/tex]

The idea is to get the denominators to be the same to the LCD (lowest common denominator). Note in step 2, I multiplied top and bottom by (x-3) to get this done. Then in step 3, I used the difference of squares rule to get x^2-9. Afterward, we can combine the fractions and like terms.

Answer:

dependent. 2/8=1/4

Step-by-step explanation:

Answer:A 19900

Step-by-step explanation:

Answer:

A.19,900

Step-by-step explanation:

hope this helps!!

The answer is 3/8

because 2/4 × 2 = 4/8

7/8 - 4/8 = 3/8

Answer:

3/8 of a mile more

Step-by-step explanation:

2/4=4/8

7/8-4/8=3/8

Answer:

A. 13 units

Step-by-step explanation:

using distance formula

(x2-x1)^2 + (y2-y1)^2 in roots

(-1+6)^2 + (-7-5)^2 in roots

5^2 + 12^2 in roots

25 +144 in roots

169 in roots

13 units

Answer:

Start with the given equation.

%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.

%28x-2%29%5E2=16 Reduce.

x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.

x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.

x-2=4 or x-2=-4 Take the square root of 16 to get 4.

x=2%2B4 or x=2-4 Add 2 to both sides.

x=6 or x=-2 Combine like terms.

Step-by-step explanation:

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

Answer:

There are 180 possible combinations for the furniture.

Step-by-step explanation:

4*5*9=180

Answer

180 combinations

Step-by-step explanation:

To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.

D is the answer

Step-by-step explanation:

I searched it

Answer:

The correct answer is indeed 510, but it would be 5/10.

I also love your picture. The Promised Neverland is a great anime. One of my favorites.

Step-by-step explanation:

To prove my case see image:

Answer:

let the two numbers are x & y

x+y=30...eq(1) &x-y=12....eq(2)

x=30-y then put in the eq(2)

30-y-y=12

30-2y=12

-2y=12-30

-2y= -18

y=9 then we put this answer in to eq(1)

so,x+y=30

x+9=30

x=30-9

x=21

so, the two numbers are (21,9)

Answer:

D. A minimum

Step-by-step explanation:

Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

Answer:

"yes" the triangles are similar

the scale factor going from triangle PQR to triangle ZYK is "2"

Step-by-step explanation:

i just did it :3 good luck!

Answer:

"yes" and "2"

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Step-by-step explanation:

y=-27

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