Which rule describes why these triangles are congruent?

Answer:

(x - 4)(x + 4)

Step-by-step explanation:

x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 16

= x² - 4²

= (x - 4)(x + 4)

Answer:

The pool that they buy is the circular pool which Marsha wants

The cost of the circular pool is $471.25

Step-by-step explanation:

The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;

The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep

The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep

The price of water, P = 25 cents per cubic foot

The pool they decide to buy = The pool that costs less to fill

The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³

The cost of filling the pool Pete wants, C₁ = V₁ × P

∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars

The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³

The cost of filling the pool Marsha wants, C₁ = V₁ × P

∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars

The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill

Answer:

i tink it is store A

Step-by-step explanation:

because it has the large medium value.. hope this answer helpes you..

Answer:

the answer is B. Store B

The time the bus should arrive at School Road from Hope Street is 08 : 04.

The time of the latest bus that Jo can catch from the Bus Station is 07 00.

The time the bus takes to travel from the bus station to School Road is 14 minutes.

The table shows that when a bus leaves for School Road from Hope Street,  at 07 54, it will arrive on School Road at 08 04.

The time it takes from the bus station to School road is:

= Arrival time at school road - Departure time from Bus station

= 08 04 - 07 50

= 14 minutes

If Jo wants to be in school road at 8 am by the latest, she needs to leave before :

= 8 am - 14 minutes

= 07 46

The only bus leaving before this time is the 0700 bus from the Bus Station.

Find out more on bus stations at https://brainly.com/question/13209100

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Answer:

$33

Step-by-step explanation:

You do $660 • 0.025

You have to bring the decimal two places to the left for finding the decimal point.

So you'd get 16.5.

But there's two years. So times it by two.

So it's 33.

Hope this helps

Answer:

30 gray 12 pink

Step-by-step explanation:

if you put 60$ in each the gray will be (60:2= 30) and the pink will be (60:5=12)

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

Answer:

for the first answer your answer was correct, it was the second answer that was wrong. So the first answer is 2 3/4. The second answer would be 81 centimeters because it grew that much.

Step-by-step explanation:

To find the first answer add the starting height and ending height. To find how much it grew convert the total ending height of the tree to cm by multiply by 100, so 275. Then subtract 356 by 275 because you are finding out how much it grew. Take away 275 from 356 and you get 81

Answer:

Step-by-step explanation:

3x+ 1/3     for x<= -1

6x-27    for x >4

Answer:

It is already in the correct order

Answer:

64 feet

Step-by-step explanation:

Complete question

A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.

At maximum height, the velocity of the ball is zero, i.e ds/dt  =0

ds/dt = 64 - 32t

64 - 32t = 0

32t = 64

t = 64/32

t = 2secs

Substitute t = 2secs into the given equation;

Recall that s(t)=64t-16t^2

s(2) = 64(2) - 16(2)^2

s(2) = 128 - 16(4)

s(2) = 128 - 64

s(2) = 64 ft

Hence the maximum height reached by the ball is 64 feet

Answer:

x= -17/8

Step-by-step explanation:

1 step: take care of the parentheses ( multiply -2 to what is on parentheses)

so x -8x +6 =-12-14x

2 step : move all number with x to the left side

x-8x +14x = -12 -6

7x = -18

x = -18/7

Answer:

B

Step-by-step explanation:

The angles of X and Z are supplementary and sinX and cosZ will be the same hence, option (b) will be correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that in triangle Y is 90° since in any triangle sum of all three angles will be 180° so remaining angle Z and Y will be total of 90° hence these will be complementary.

In right angle triangle sinX = cosZ because the perpendicular for X act like a base for Y.

For more information about the trigonometric function

brainly.com/question/1143565

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Answer:

50

Step-by-step explanation:

The computation of the number of sweets they do have altogether is as follows:

Let us assume Charlie sweets be x

So bilal sweets is 4x

Now Bilal gives Charlie 15 of his sweets due to which they must have the same amount

4x - 15 = x + 15

4x -x = 15 + 15

3x = 30

x = 10 = Charlie sweets

Bilal sweets = 4x = 4(10) = 40

So the total no of sweets held by them is 50

Answer:

3.5 miles assuming terry rode his bike 1 mile in 6 minutes

Step-by-step explanation:

Answer:

IS THERE A PICTURE SO WE CAN SEE

Step-by-step explanation:

y=x+6 ,hence:

x+x+6=12

2x=6

x=3

=> y=9

Answer:

Below.

Step-by-step explanation:

First find the perpendicular  height of the pyramid.

The median of one of the faces, the height and  and half the length of the square base make a right triangle with base 2 and hypotenuse 5, so using the Pythagoras theorem:

5^2 = 2^2 + h^2

h^2 = 5^2 - 2^2 = 21

h = √21 inches.

The volume of the pyramid V = 1/3 * h * area of the base, so

V = 1/3 * 4^2 * √21

= 24.44 in^3 to nearest hundredth.

The volume of a right square pyramid will be (16√21) / 3 cubic units.

Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.

Then the volume of the pyramid will be

Volume = (1/3) × A × h

The slant height is given as.

l² = (half of side)² + h²

A right square pyramid has a slant height of 5 inches and the length of the base is 4 inches.

Then the height of the pyramid will be

5² = (4/2)² + h²

h² = 25 - 4

h = √21 inches

Then the volume of a right square pyramid will be

Volume = (1/3) × 4 × 4 × √21

Volume = (16√21) / 3

Thus, the volume of a right square pyramid will be (16√21) / 3 cubic units.

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

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Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.

Hope this helps :)

Answer:

60%

Step-by-step explanation:

I know it is

Answer:

60

Step-by-step explanation:

5 percent (calculated percentage %) of what number equals 3? Answer: 60.

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

​

Answer:

The discount takes $25 dollars off

Step-by-step explanation:

So yes, he'll pay $100 after the discount is applied

Answer:

25 dollars

Step-by-step explanation:

125 - 100= 25

Answer:

[tex]c(t) =-18t +212[/tex]

Step-by-step explanation:

Given

[tex](t_1,c_1) = (4,140)[/tex]

[tex](t_2,c_2) = (9,50)[/tex]

Required

Determine the equation

First, we calculate the slope (m)

[tex]m = \frac{c_2 - c_1}{t_2 - t_1}[/tex]

[tex]m = \frac{50 - 140}{9-4}[/tex]

[tex]m = \frac{-90}{5}[/tex]

[tex]m = -18[/tex]

The equation is then calculated as:

[tex]c =m(t - t_1) + c_1[/tex]

[tex]c =-18*(t - 4) + 140[/tex]

[tex]c =-18t +72 + 140[/tex]

[tex]c =-18t +212[/tex]

Hence, the function is:

[tex]c(t) =-18t +212[/tex]

Answer:

x=9,−19

hope this is fast enough

Answer:

I think X=9

Hope this helps :)

Answer:

how many floors the elevator goes down per unit of time

Step-by-step explanation:

not sure what the unit of time is but its seconds or minutes im pretty sure it doesnt say

Answer:

The elevator started at floor 7

Step-by-step explanation:

The y-intercept is when x is 0

In this situation x represents time, so when no time has passes yet y is at 7

This means that the elevator was at floor before any time passed (before it started moving)

hope this helps, lmk if it doesnt :)

50×100÷110=45.454545r6

Answer:

90

Step-by-step explanation:

you have to multiply A B and C and you should get 90

i think i'm right

Answer:

ok I will help you because I am a nice person:)