Is triangle PTC congruent to triangle LAF?

Answer:

Step-by-step explanation:

1) Let x represent the sale price.

normal price = $39.95. This week they are on sale for 25% off the regular price. The amount taken off is

25/100 × 39.95 = 9.9875

Sale price = 39.95 - 9.9875 = $29.9625

2) number of games played by the tigers is 11 + 4 = 15

Percentage of games won is

11/15 × 100 = 73.3%

number of games played by the cubs is 10 + 3 = 13

Percentage of games won is

10/13 × 100 = 76.9%

3) increase in stock price = 61.5 - 52.63 = $8.87

Percentage increase = 8.87/52.63 × 100 = 16.85%

4) if 28 percent of seven graders went

to a movie theater over the weekend and there are 800 students in the seventh grade, then the number of seven graders that saw

the movie is

28/100 × 800 = 224

Answer:

19 inches is the correct answer.

Step-by-step explanation:

Side 1 = 10 inches

Side 2 = 15 inches

It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than [tex]90^\circ[/tex].

Let us suppose, that the triangle be a right angle triangle, then the largest angle will be [tex]90^\circ[/tex]. The largest side is known as Hypotenuse.

As per pythagoras theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]

[tex]\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches[/tex]

So, largest side comes out be 18.04 inches.

But actually, the largest angle is more than [tex]90^\circ[/tex] so the largest side will also be greater than 18.04 inches.

Hence, the answer is:

Smallest possible whole number length of unknown side will be 19 inches.

Answer:

I did the test and thecorrect option was 18.

Answer: 54 bricks

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a rectangular prism (V) : length x width x height  

Replacing with the values given and solving for v (Volume)  

V = 10 x 6 x 4

V = 240 cm3 (volume of one brick)

Finally, we have to divide the amount of concrete used by the volume of each brick:

13,000cm³ /240 cm3 = 54.16 = 54 bricks

Feel free to ask for more if needed or if you did not understand something  

Answer:

13 times

Step-by-step explanation:

78 divided by six

(could be wrong)

Answer:

I'm not confident on this but:

L = 2(W + 1)

Hopefully this might help somewhat :]

L: Length

W: Width

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

EDGE2021

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

The value of the monthly payment is given by;

P = PV × i / 1-(1+i)⁻ⁿ

Where,

PV is the present value or the amount of the loan.

i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.

n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

Therefore,

The value should be used for n, the number of periods over which the loan is repaid;

n = 6 years × 12 months/year = 60 months = 60 periods.

Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

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Answer: 1412 vehicles.

Step-by-step explanation: I calculated my answers and I approximately got this anwse so... Hope it helps.

Answer:

6

Step-by-step explanation:

The formula for the area of a parallelogram is the base times height.

We know the base is 5, and the area is 30, so:

5x=30

x= 6

So the height is 6

Answer:

The area of a parallelogram is A= bh so since the base is 5, the height is 6

6 x 5 = 30^2

Step-by-step explanation:

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

2 bottles

5 bottles

20 bottles

25 bottle

the is c 20 bottles          

Answer:

.........................................

Step-by-step explanation:

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Answer:

x= -10

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

64 [tex]in^{3}[/tex]

Step-by-step explanation:

The volume of a cubic box with side length of s inches can be calculated using the following formula

[tex]V = s^{3} in^{3}[/tex]

If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)

[tex]V = 4^{3} in^{3} = 64 in^{3}[/tex]

Therefore the final and new volume is

64 [tex]in^{3}[/tex]

Answer:

The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.

Answer:

A

Step-by-step explanation:

By adding both the x and y coordinates individually and dividing them by two u get the mid point

Answer:

15

Step-by-step explanation:

the formula for area is l×w=a so when you multiply the length with the width, you get 15.

Answer:

15 feet

Step-by-step explanation:

Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30

The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20

The sum of fx = (56 + 116 + 240 + 124 + 64) = 600

The mean number of apples can be calculated using the values obtained thus :

Mean = fx ÷ f

Mean = 600 ÷ 20

Mean = 30

Therefore, the mean number of apples in a box is 30

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Complete question:

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 90% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answer:

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons

Step-by-step explanation:

Brand A = 40% pure

Brand B = 90% pure

Therefore to obtain 160 gallons that contains 60% pure antibfreeze:

Let y = Amount of 40% pure antifreeze required

Therefore (160 - y) = Amount of 90% pure antifreeze required.

Expressing mathematically,

0.4y + (160 - y) (0.9) = 160×0.6

0.4y + 144 - 0.9y = 96

-0.5y = 96 - 144

-0.5y = - 48

y = 48 / 0.5

y = 96

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons

Answer:

Hello There. The correct option is

b.) The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The statements describes the symmetry of the data in the two box plots

a.) The data in country A are more symmetric than the data in country B.  

b.) The data in country B are more symmetric than the data in country A.

c.) The data in both countries have about the same symmetry.

d.) The symmetry of the data cannot be determined by looking at the box.

Hope It Helps!

Step-by-step explanation:

The correct statement about the median will be the following which is calculated from average wind speeds as:

It is the center most number of the data available to us which divides the data in 2 equal parts.

We have been given the average wind speeds of two countries.

Median of country A =(1+9.5)/2 th term in the box

=5.25th term in the box which is 7.

Median of country B=(1.2+11)/2

=6.1 th term which is 9.

Hence median of country  B is greater than median of country A and value of median A is 7 and of B is 9.

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Answer:

The answer is D.

Step-by-step explanation:

Angle 1 and 2 are equivalent to the measure of angles 3+4. We know this because both sides on the middle line form a 90 degree angle

I hope this helps :)

Answer:

298.90 - 29.95 = (ANSWER) divide it by 11 then you will have the monthly cost

Step-by-step explanation:

Answer:

monthly paid= 24.45

Step-by-step explanation:

if we take membership join fee=x=29.95

and the monthly fee=m

so the equation will be

11 m + x =298.90

so by substitute x

m=24.45 $/month

Answer:

11.5 years old

Step-by-step explanation:

Let's call Michael's current age m, and Brandon's current age b.

m=3b

m-18=9(b-9)

Substituting:

3b-18=9(b-9)

3b-18=9b-81

6b=63

b=11.5

Hope this helps!

Answer:

Number is 4

Step-by-step explanation:

Given:  reciprocal of two less than a certain number is twice the reciprocal of the number itself

To find: The number

Solution:

Let the number be x

Reciprocal of two less than a certain number = [tex]\frac{1}{x-2}[/tex]

Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]

According to question,

[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]

So, number is 4

Answer:

[tex]C.[/tex]  [tex]400[/tex]

Step-by-step explanation:

[tex]19.7/0.0485[/tex]

[tex]=406.18556701030927835051546391752577319587628865979381443298969[/tex]

The number closest in value to 19.7/0.0485 is 400.

The correct option is C.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

We have the expression,

19.7/0.0485 = 406.1855

From the options,

400 is closest to 406.1855.

Therefore, 400 is closest to 406.1855.

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Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)

With negative 6:

-6 < 3 < 5

With positive 6:

3 < 5 < 6

Answer:

0.9617

Step-by-step explanation:

√0.925

= 0.9617

Answer:

the answer is 0.96176920308

Step-by-step explanation:

do you need working hope it helps I would have answered first but I wanted to ask whether you needed workings.

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < [tex]\hat{p}[/tex] < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Where:

x = 33

n = 136

[tex]\hat{p}[/tex] = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

[tex]CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}[/tex]

Which gives;

0.17059 < [tex]\hat{p}[/tex] < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < [tex]\hat{p}[/tex] < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

Answer:

The answer is 41/25000

Step-by-step explanation:

P(A)=41/100

P(B)=1/10

P(AB)=1/25

P(A,B and AB)=41/100 * 1/10 * 1/25

=41/25000

Answer:

Step-by-step explanation:

10(a) (ii)=-10a

10 (b)=10b

n=10b