Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use



not enough information provided


yes; AAS Congruence Theorem


yes; SAS Congruence Theorem


yes; SSS Congruence Theorem

Answer:

The cost of the new item is $72

Step-by-step explanation:

You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25

Now multiply 0.25 by the original cost of the item which is 96.

If you think about 0.25 as 1/4, because 25 is 1/4 of 100.

You will get 24, this is how much money is taken off of the original price.

So some easy subtraction: 96-24=72.

Now you have the new cost of the item

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

Answer:

Convert to scientific notation. 1.) 2,800 2.8*10%. 2.) 742,00p, 7.42 x 105. 3. ... When translating scientific notation to standard form, you need to decide which way to move the decimal point. If the exponent is negative, you move the decimal point to the. -left ... We should move the decimal point 3 places to the left.

Step-by-step explanation:

Answer:

304.2

Step-by-step explanation:

3.042 * 100 = 304.2

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

Answer:

5 kdkdjdnndndjdjdjdjd

Answer:

0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

lo siento tanto pero necesito los puntos:(

Step-by-step explanation:

Answer:

Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.

Step-by-step explanation:

Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah

Answer:

I think it is C

Step-by-step explanation:

Answer:

-1.28

Step-by-step explanation:

You would put these two equations into a graphing ccalculator:

y = -4x - 1

and

y= 5^x + 4

Wherver they intersect is your answer.

These two happen to intersect at (-1.28,4.13)

Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

Answer:

decimal form: 3.106

word form:   3 and one hundred and 6 thousandths

Step-by-step explanation:

Answer:

Decimal form:

Word form:

Step-by-step explanation:

Answer:

4116

Step-by-step explanation:

12000÷100=120 2015

120×70=8400

8400÷100=84 2016

84×70=5880

5880÷100=58.8 2017

58.8×70=4116

9514 1404 393

Answer:

  9, 10

Step-by-step explanation:

It helps if you're familiar with the squares of small integers.

  9^2 = 81

  (√85)^2 = 85

  10^2 = 100

The square root of 85 lies between 9 and 10.

_____

Of course, you can find this answer using your calculator:

  √85 ≈ 9.2195, a number between 9 and 10

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

Answer:

B : y − 3 = 2/3 ⋅ ( x − 3 )

Step-by-step explanation:

Answer:

B, but if I am only 95 percent sure.

Step-by-step explanation:

Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

Answer:

So as not to exceed the budget, where π = 22/7, we have;

The radius = 10 ft and the height = 3/11 ft

For standard 40 ft. height, the radius is approximately 0.8259 ft

Step-by-step explanation:

The amount set aside for the water tower = $900,000

The price (amount) per cubic foot = $10.50

Therefore, we have;

[tex]The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{The \ amount \ set aside \ for \ the \ water \ tower}{The \ price \ (amount) \ per \ cubic \ foot }[/tex]

[tex]\therefore The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{\$ 900,000}{\$10.50/ft\\ ^3} = \dfrac{600}{7} ft.^3 = 85 \frac{5}{7} ft^3[/tex]

Whereby the height of a standard water tower = 40 ft., we have;

The shape of the water tower = The shape of the water tower

∴ The volume of the water tower V = π × r² × h

Where;

r = The radius of the water tower

h = The height of the water tower

Taking π = 22/7

600/7  = 22/7 × r² × h

r² × h = 600/7/(22/7)  ≈ 300/11 = 100 × 3/11

Solving to get exact dimensions so as to not exceed the budget, we have;

r² × h = 100 × 3/11 = 10 × 10 × 3/11

Therefore, the radius can be 10 ft. and the height = 3/11 ft.

Or for standard 40 ft. height, we have;

r² = 600/7/(π × 40)

r ≈ 0.8259 ft.

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

Answer:One-half names the same number as two-quarter or as three sixths  or as four-eights . Three-fourths  is equal to six-eighths because they are different ways of expressing the same number.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: it would be d

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%

Answer:

C- C=0

Step-by-step explanation:

Answer:

C. x=4

Step-by-step explanation:

In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.

Answer:

The average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

so

at x₁ = 100, f(x₁) = 450

at x₂ = 600,  f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [1650 - 450] / [600-100]

                      = 1200 / 500

                      = 2.4

Therefore, the average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Phoenix 3 1,689

Minot 2 913

San Francisco 4 2,556

Phoenix average speed = distance travelled / time taken

= 1,689 km /3 hours

= 563 km/hour

Minot average speed = distance travelled / time taken

= 913 km / 2 hours

= 456.5 km/hour

San Francisco average speed = distance travelled / time taken

= 2,556 km / 4 hours

= 639 km/hour

The fastest average speed flight is San Francisco with an average speed of 639 km/hour

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation: