below are statements that can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and Z Y X are shown. 1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2 2. ∠B and ∠Y are right angles. 3.? 4.? Which two statements are missing in steps 3 and 4? ∠X ≅ ∠C △ABC ~ △ZYX by the SAS similarity theorem. ∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem. StartFraction A C Over X Y EndFraction = 2 △ABC ~ △ZYX by the SSS similarity theorem. StartFraction Z X Over A C EndFraction = 2 △ABC ~ △ZYX by the SSS similarity theorem.

Answer:

I just did the sum and i don't know whether it is correct but the length is 10cm

The MIRR for Emily's Soccer Mania project is around 12.22 percent.

To calculate the Modified Internal Rate of Return (MIRR) for Emily's Soccer Mania project, we need to consider the cash inflows and outflows over the project's lifespan. Given the provided information, let's break it down step by step.

Determine the net cash flows:

Year 0: Initial cash outlay of $10 million (negative)

Years 1-4: Annual cash inflows of $3 million each year

Year 5: Investment outlay of $5 million (negative)

Years 6-10: Annual cash inflows of $5 million each year

To calculate the net cash flows for the project, we need to consider the present value of each cash flow at a discount rate of 10 percent.

Year 0: -$10 million (no discounting necessary)

Years 1-4: $3 million / (1 + 0.10)^t, where t is the year (1-4)

Year 5: -$5 million / (1 + 0.10)^5

Years 6-10: $5 million / (1 + 0.10)^t, where t is the year (6-10)

Calculate the present value of the cash inflows:

Using the formula mentioned above, we calculate the present value of the cash inflows for each year:

Year 0: -$10 million

Year 1: $3 million / (1 + 0.10)^1 = $2.727 million

Year 2: $3 million / (1 + 0.10)^2 = $2.479 million

Year 3: $3 million / (1 + 0.10)^3 = $2.254 million

Year 4: $3 million / (1 + 0.10)^4 = $2.052 million

Year 5: -$5 million / (1 + 0.10)^5 = -$3.170 million

Year 6: $5 million / (1 + 0.10)^6 = $3.168 million

Year 7: $5 million / (1 + 0.10)^7 = $2.879 million

Year 8: $5 million / (1 + 0.10)^8 = $2.618 million

Year 9: $5 million / (1 + 0.10)^9 = $2.384 million

Year 10: $5 million / (1 + 0.10)^10 = $2.175 million

Calculate the terminal value:

The terminal value represents the future value of the cash inflows from years 6-10 compounded at the discount rate of 10 percent for five years. We sum up the future values for each cash inflow from years 6-10:

Terminal Value = ($5 million / (1 + 0.10)^6) + ($5 million / (1 + 0.10)^7) + ($5 million / (1 + 0.10)^8) + ($5 million / (1 + 0.10)^9) + ($5 million / (1 + 0.10)^10)

= $12.190 million

Calculate the MIRR:

The MIRR can be calculated by finding the rate of return that equates the present value of the outflows (initial investment) to the present value of the inflows (cash inflows and terminal value). We solve for the discount rate that makes the net present value (NPV) of the project equal to zero.

Using a financial calculator or a spreadsheet software, we can find that the MIRR for the project, given a discount rate of 10 percent, is approximately 12.22 percent.

Therefore, the MIRR for Emily's Soccer Mania project is around 12.22 percent.

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Using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

Division's opposite is multiplication.

If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.

So, we know that each student plant 5 trees.

In all, total 1280 plants were planted.

Then, calculate the number of studensts that planted 1280 plants as follows:

1280/5

256

Therefore, using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

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Answer:

Step-by-step explanation:

if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because,  -6 - 1 = -5

Answer:

25 Meter

Step-by-step explanation:

Answer:

llllllllllllllllllllllllll

Answer:

hope u are searching for this..

Answer:

D

Step-by-step explanation:

The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

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Answer:

x = ±√6

Step-by-step explanation:

x/2 * x = 3

x²/2 = 3

x² = 3 * 2

x² = 6

x = ±√6

The required measure of side GH is 23.25, and measures of angles G and H are 64.5° and 25.5°.

From the given figure,
The measure of GH is given by, the Pythagorean theorem,
GH = √[10² + 21²]
GH = 23.25

Now applying the trig ratio to determine, angles H and G,
tang=21/10
G = tan⁻¹[21/10]
G = 64.53°

Similarly,
H = 25.5°

Thus, the required measure of side GH is 23.25, and measures of angles G and H are 64.5° and 25.5°.

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Answer:

1.75 + 1.25 + 1.50 + .75(3) = $6.75 total

Step-by-step explanation:

Make sure to multiply .75 x 3 because there are 3 bags of chips. That gives you $2.25 in chips to add to the hotdog, popcorn, and soda total.

Answer:

  1872

Step-by-step explanation:

Solving cryptarithm sums requires consideration of the properties of numbers, addition facts in particular.

The largest possible value of F is 1. For that value, there are no choices for RUN that allow A to be 9, so its maximum value is 8. In order for A to be 8, R must be 9, so the largest digit available for S is 7, which requires U = 3. In order for S to be odd, N must be 5 or greater. The largest available digit is 6.

This gives RUN = 936; FAST = 1872.

_____

Additional comment

This is confirmed (suggested) by an exhaustive search. The least possible sum is RUN = 523; FAST = 1046.

Answer:

n = 6cm

Step-by-step explanation:

L × W = Area

6(2n + 1) = 78

12n + 6 = 78                         Distributive

       -6 =  -6                        Subtract  -6 from both sides

12n  =   72                            Addition

\(\frac{12n}{12} = \frac{72}{12}\)                                Divide each side by 12

 n = 6cm

Answer:

18 sides

Step-by-step explanation:

Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:

(180-160)°•(n)=360°

(20°)•(n)=360°

n=(360/20)°

n=18 sides

Answer:

increases by 30

Step-by-step explanation: its right

Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

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A curve C with Vertices (1,0,0), (0,1,0), and (0,0,1). These points define a triangle in three-dimensional space, not a curve.

The integral you provided seems to be incomplete and contains placeholders instead of actual functions or expressions. Additionally mentioned a curve C with vertices (1,0,0), (0,1,0), and (0,0,1). These points define a triangle in three-dimensional space, not a curve.

an integral over a region or a surface bounded by the given triangle in three-dimensional space. However, without the specific function or expression to integrate expression that needs to be integrated over the  region or surface.

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The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer:

55 miles per hour

Step-by-step explanation:

Hope it helps :)

Answer:

440/8

Step-by-step explanation:

The lines that must be parallel for ∠9 to be congruent to ∠13 is  c║ d converse of the corresponding angle theorem.

When a transversal line cut across parallel lines, angle relationships are formed. Examples are corresponding angles, alternate angles etc.

Therefore, the lines that must be parallel for ∠9 to be congruent to ∠13 is as follows;

∠9 ≅ ∠ 13

Therefore,

∠9 and  ∠ 13 are corresponding angles. when c║ d converse of the corresponding angle theorem.

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The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Answer:

\(A=1347.7\ cm^2\)

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

\(A=\pi rl +\pi r^2\)

Put all the values,

\(A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2\)

So, the surface area of the cone is \(1347.7\ cm^2\).

Answer: 1st Person

Step-by-step explanation: Mia is talking about herself

Answer:

1st person point of view

Step-by-step explanation:

Answer:

A=25

Step-by-step explanation:

8-3=5

25/5=5

a=25

Answer:

A = 25

Step-by-step explanation:

To solve this equation, we have to find a number that can replace a that makes the equation true.

So, what number would fit?

Well, since a 5 is being divided by a, we have to find a number that 5 can  divided by 5 that gets 5.

This way, you can add 5 to 3 and get 8

Well, 5 x 5 = 25

So, 25 / 5 = 5

So, if we set a to 25, the equation is true

25 / 5 =5

5 + 3 = 8

Correct Answer: 25

Answer:

7 square miles

Step-by-step explanation:

Answer:

I think its the right shape being the trapezoid

Step-by-step explanation:

the triangle looks like a triangle but then the reason why I said I think it's the on the right is because the acute angle makes it look like a trapezoid but then on the other side it has a right angle but I think its the right side.

The prime number that cannot be in the set is A . 2.

Prime number:

In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers

Given,

Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.

Here we know that, all prime numbers except the first prime number are odd except 2.

And here we assume that the two prime numbers are different,

So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.

Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.

There the correct option is A. 2.

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Based on the fact that the cakes were originally of the same size, but then some of them were leftover, the size of the leftover slices in relation to the original slices are:

The proportion of the chocolate cake slices is relation to the original size of cake is:
= Leftover percentage / Number of slices

Solving gives:
= 1/5 ÷ 4

= 1/25

The proportion of the vanilla cake slices in relation to the original slice is:

= 2/8 ÷ 5

= 1/16

In conclusion, each chocolate slice is 1/25 of the original cake and each vanilla slice is 1/16.

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The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).

Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.

Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.

With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.

This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.

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