which postulate or theorem proves that these two triangles are congruent?

a. ASA Congruence Postulate
b. SAS Congruence Postulate
c. AAS Congruence Theorem
d. HL Congruence Theorem

Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
[tex]C = 2 \pi r[/tex]

We can get the radius from rearranging the equation.

[tex]r = \frac{C}{2 \pi}[/tex]

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

Answer:

The surface area of the square pyramid is 280 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

[tex]A=2bs+b^2[/tex]

From the figure, it is clear that

substituting the values in the formula

[tex]A=2bs+b^2[/tex]

[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]

   [tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]

   [tex]=280[/tex]

Therefore, the surface area of the square pyramid is 280 units².

Step-by-step explanation:

b×h1÷2 use this formulae

Answer:

cylinder

Step-by-step explanation:

A mascara tube is a cylinder

Answer:

-24

Step-by-step explanation:

The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.

and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.

that is ~

[tex]\qquad \sf  \dashrightarrow \: x + y = 3[/tex]

put y = - 2,we will get :

[tex]\qquad \sf  \dashrightarrow \: x - 2 = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

so, 1st equation satifys the condition. let's check out 2nd one.

[tex]\qquad \sf  \dashrightarrow \: x + 2y = 1[/tex]

put y = -2

[tex]\qquad \sf  \dashrightarrow \: x + (2 \times - 2) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4 = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Hence, we can conclude that the Correct choice is D

Answer:

D. 128

Step-by-step explanation:

16 out of 25 is a 64% ratio.

Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.

Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.

Knowing this the answer is D. 128.

Hope this helps. Brainliest would be appreciated.

Answer:

D. 128

Step-by-step explanation:

[tex]\frac{16}{25} =\frac{x}{200}[/tex]

cross multiply:

[tex]25x = 3200[/tex]

divide both sides by 25:

x = 128

The percentage of 4c that's the expression 0.04c will be is 1%.

From the complete information, we are told to calculate the percentage of 0.04c from 4c.

This will be calculated thus:

= 0.04c/4c × 100

= 0.01

= 1%

Therefore, the percentage is 1%.

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Answer:

It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.

The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.

The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.

angle IJG and angle GHI are opposite angles, therefore:

Angle IJG = 180 - angle GHI

Angle IJG = 180 - 70

Angle IJG = 110°

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Answer:

See below

Step-by-step explanation:

Expand it a bit to see:

= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]

=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

The given parameters are:

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

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Answer:

2x - 11, 2x + 11

Step-by-step explanation:

The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.

Answer:

The total number of seats is also needed to answer the question.

Step-by-step explanation:

For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.

Answer:

See below ~

Step-by-step explanation:

Part A : Center

Part B : Radius

Part C : Equation

Answer:

$ 30, 021.39

Step-by-step explanation:

3759( 1 + .11875/12 )^(211)  = 30, 021.39

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

Answer:

1

Step-by-step explanation:

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

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Answer:

B

Step-by-step explanation:

You would use the formula Length×Width×Height

In this question the length would be 67 in

The height would be 9 in

And the width would be 50 in

The unit of measure is inches

Cubed because this is a 3-dimesional shape

So the answer would be (50×67×9) in³

Answer:

Step-by-step explanation:

Those are the special triangles 45-45-90 and 30-60-90

6. y = 5 and x = 5sqrt(2)

7. y= 8 and x = 8sqrt(3)

8. x = 10sqrt(2)

Answer:

Hello!!!

34pi or 106.81

Please read the explanation... it always helps... i promise...

Step-by-step explanation:

Alrighty the circle circumference states that... c = 2r pi

we need to find the radius which is always half of the diameter.... so 34/2=17

the radius is 17... now all we have to do is substitute 17 into the circumference formula...

(2)17 pi = 34pi OR 106.81

or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...

i hope this helps!!!!!!!

The circumference of the circle is approximately 106.96 inches.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The circumference C of a circle with diameter d is given by the formula:

C = πd

Substituting the given value of diameter, we get:

C = π(34) = 34π

Using an approximation of π as 3.14, we can calculate the approximate circumference as:

C = 34 × 3.14 = 106.96 inches

Therefore,

The circumference of the circle is approximately 106.96 inches.

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Answer:

  (6x² +4x -20)/(x² +x -3) cm

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of its length and width. Here, length and width are rational functions. The same relation to perimeter applies.

__

  [tex]P = 2(L+W)\\\\P=2\left(\dfrac{2x^2 +3x-5}{x^2+x-3}+\dfrac{x^2-x-5}{x^2+x-3}\right)\qquad\text{use given values for $L$ and $W$}\\\\P=2\left(\dfrac{2x^2+3x-5+x^2-x-5}{x^2+x-3}\right)=\dfrac{2(3x^2 +2x-10)}{x^2+x-3}\\\\P=\dfrac{6x^2+4x-20}{x^2+x-3}\\\\\underline{\ \qquad}\\\\\textsf{It would take $\dfrac{6x^2+4x-20}{x^2+x-3}$ cm of ribbon to go around the package.}[/tex]

Answer:

Step-by-this may be done by rearranging the equation. First, we start with the given equation:

0.05*10 = 0.5

In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:

0.05 * 10 / 10 = 0.5/10

0.05  = 0.5/10ep

explanation:

Answer:

Step-by-step explanation:

We find a like term and that is 33 so we mutiply 2/3 by 11 and we get 8 22/33 and do the same to 1 10/11 and we get 1 30/33

8 22/33- 1 30/33 since we can do that we give 22 an extra 33

so 7 55/33 - 1 30/33 (just like subtracting we borrow.)

=6 25/33

Basically i converted 1 of the 8 into a fraction which was 33 and added it to 22 which got me 55 from their it was just a basic subtraction problem. think of what i did like this 43-

                                   34

that wont work so you borrow a 1

Answer:

$134.89.

Step-by-step explanation:

Monthly interest = 0.06/12 and its for 5*12 months.

Amount after 5 years = 100(1 + 0.06/12)^(5*12)

= 100(1 + 0.06/12)^60

= $134.89