Solve step by step and answer

The required statements and reasons to prove that DE is equal to CE is explained.

The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.

The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.

         STATEMENT                            REASON

1. AD = BC                                          Given

2. <BCD = <ADC                                Given

3. DC = DC                                         Reflexive property

4. ΔADC ≅ ΔBCD                              SAS

5. <EDC ≅ <ECD                                CPCTC

6. AC = BD                                          Definition of diagonal

7. DE = CE                                           Congruent sides of isosceles triangle

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Answer:

1,300 lb.

Step-by-step explanation:

V = 9 × 12 × 14.5 = 1566 ft³

1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.

Answer:

No, it's incorrect.

Step-by-step explanation:

The answer should be y = -10x + 7

Is that the question?

Answer:

3c =20-2

3c = 18

c = 18÷3

=6

Answer:

Here is Your answer

Step-by-step explanation:

Hope u Like it

C = 2/17

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Answer:0.66

Step-by-step explanation:

hope this helps

Answer:0.66

Step-by-step explanation:33%50=0.66

Answer:

Inverse Property

When adding the additive

inverse to the number, the sum

is zero.

Step-by-step explanation:

When multiplying a number by

its reciprocal, the product is multiplicative inverse.

The total distance traveled by the dust in 2.70 minutes is 345.96 m.

Given that the spin rate of the CD is 410 rpm and the piece of dust is 4.97 cm from the center. The first step in solving this problem is to determine the distance traveled by the dust in one revolution. It is known that the circumference of a circle is equal to 2πr, where r is the radius of the circle.

The circumference of the CD is given by: C = 2πr= 2π(4.97)= 31.27 cm The distance traveled by the dust in one revolution is equal to the circumference of the CD. It is, therefore, 31.27 cm. Next, we need to determine the total number of revolutions made by the dust in 2.70 minutes.

The number of revolutions per minute is given by the spin rate of the CD, which is 410 rpm. We can, therefore, calculate the total number of revolutions made by the dust in 2.70 minutes as follows: Number of revolutions in 2.70 minutes = 410 rpm × 2.70 min= 1107 revolutions Finally, we can calculate the total distance traveled by the dust in 2.70 minutes as follows: Total distance = Distance per revolution × Total number of revolutions= 31.27 cm/revolution × 1107 revolutions= 34595.89 cm= 345.96 m

Therefore, the total distance traveled by the dust in 2.70 minutes is 345.96 m.

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Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  \(\$108,175.71\)

From the information given in the text we found that:

To calculate the price of the bond, we need to use the following formula:

\(Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n]\)

So with the formula already informed we will replace the values ​​given in the text find what we want.

\(Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71\)

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Answer:

i think its -15x + 10y

Step-by-step explanation:

10x - 5y + 5 (5x + y)

10x- 5y + 25x+ 5y

combine

-15x + 10y

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

\( - 6 + 7s - 4r - 2 \\ \\ - 6 + 7(7) - 4( - 7) - 2 \\ \\ - 6 + 49 + 28 - 2 \\ \\ = 6 9\)

I hope I helped you^_^

Using division, we know that Leo replaces 6 new strings from 3 guitars which are a total of 18 strings.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The other operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.

When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with a remainder or Euclidean division of two natural numbers yields an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.

So, we know that:

6 new strings are put on each guitar.

He uses 18 strings.

Then, the number of guitars:

⇒ 18/6 = 3

Therefore, using division, we know that Leo replaces 6 new strings from 3 guitars which are a total of 18 strings.

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False. The set {3,0,8} is a subset of the set A, but it is not equal to the set A. the set A is defined as {6,4,1,{3,0,8},{9}}. The set {3,0,8} is a subset of the set A,

because it contains all of the elements of the set {3,0,8}. However, the set {3,0,8} is not equal to the set A, because it does not contain the elements 6, 4, 1, or 9. Therefore, the statement {3,0,8} CA is false.

To further explain, a subset is a set that contains all of the elements of another set. In this case, the set {3,0,8} contains all of the elements of the set A. However, a set is not equal to its subset. In this case, the set {3,0,8} is a subset of the set A, but it is not equal to the set A.

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Answer:

A. 6 cm

Step-by-step explanation:

A P E X

Answer:

6

Step-by-step explanation:

Answer:

Pythagoras was the Greek geometer .

Please mark me as the brainliest.

To simplify, we can combine like terms and add the exponents if the operation involved is multiplication. The given expression is:

(9x² + 6x + 4) - (5x² + 5x-3)

Simplifying,

9x²-5x²+6x-5x+7

4x²+6x-5x+7

4x²+x+7

Answer:

B

Step-by-step explanation:

Because there is three numbers

Hello there!

-6 is the answer.

If we multiply a negative number times a positive number, we will get a positive number.

Hope this helps!

\(GraceRosalia\) is here to help

There are 4 9's in a deck.

The probability would be 4 / 52 = 0.07692

Rounded to the nearest hundredth = 0.08

Answer:

h(4) = 43

Step-by-step explanation:

h(4) = 7(4) + 15

h(4) = 28 + 15

h(4) = 43

Answer:

h(4) = 43

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

h(x) = 7x + 15

x = 4

Step 2: Evaluate

The equivalent value of m is given by the expression m = 1

Given data ,

We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.

So, we have:

(-3)^(m+1) × (-3)⁵ = (-3)⁷

Using the property of exponents, we can add the exponents on the left-hand side:

(-3)^(m+1+5) = (-3)⁷

Simplifying the exponents on the left-hand side:

(-3)^(m+6) = (-3)⁷

We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:

m + 6 = 7

Subtracting 6 from both sides:

m = 1

Hence , m = 1 is the value that satisfies the equation

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Answer:

29,540

Step-by-step explanation:

28,000 x 5.5%=1540

28,000+1540=29,540

She will pay 29,540 in state income tax.

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Answer: 250

Step-by-step explanation:

10 pens at 25 each mean 1 pen is 25

so 10 x 25 = 250

To find U(2), we need to solve the given system of equations using Laplace transforms, find the inverse Laplace transforms of X(s) and Y(s) to obtain x(t) and y(t), respectively, and then substitute t=2 into x(t).

To solve the given system of equations, we will use Laplace transforms. First, let's find the Laplace transforms of the given equations:

1) Taking the Laplace transform of the first equation, we get:
s^2X(s) - s + 5Y(s) = 1/s^2

2) Taking the Laplace transform of the second equation, we get:
s^2Y(s) - 4Y(s) - 2sX(0) = -2/s

Using the initial conditions, we can simplify the second equation:
s^2Y(s) - 4Y(s) = -2/s

Now, let's solve the above equations for X(s) and Y(s). Rearranging the first equation, we have:
X(s) = (1 + s - 5Y(s)) / s^2

Substituting this into the second equation, we get:
s^2Y(s) - 4Y(s) = -2/s + 2(1 + s - 5Y(s)) / s^3

Simplifying, we have:
s^3Y(s) - 4sY(s) = -2 + 2/s + 2s - 10Y(s)

Combining like terms, we obtain:
s^3Y(s) - 10Y(s) - 4sY(s) + 10Y(s) = -2 + 2/s + 2s

Simplifying further, we get:
s^3Y(s) - 4sY(s) = -2 + 2/s + 2s

Now, we can solve for Y(s):
Y(s)(s^3 - 4s - 10) = -2 + 2/s + 2s

Finally, we can find the inverse Laplace transform of Y(s) to obtain y(t). From the equation above, we see that Y(s) is a function of s, which means we can use partial fraction decomposition to simplify it. Once we find Y(s), we can find x(t) using the equation x(t) = L^(-1)[X(s)]. Once we have x(t) and y(t), we can evaluate U(2) by substituting t=2 into x(t).
In conclusion, to find U(2), we need to solve the given system of equations using Laplace transforms, find the inverse Laplace transforms of X(s) and Y(s) to obtain x(t) and y(t), respectively, and then substitute t=2 into x(t).

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Answer:4:1 just taking to test as soon as you

Step-by-step explanation:

The ratio of fiction books to nonfiction books on the shelf is,  4

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Ellie has 20 books on her shelf

Four of these books are nonfiction

The rest are fiction

The ratio of fiction books to nonfiction books on the shelf = ?

The number of fiction books = ?

The number of fiction books = 20 - 4

                                                 = 16

Ratio =    fiction/nonfiction

         =      16/4

          =    4

Hence, the ratio is 4

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Answer:

neither, neither, terminating, repeating