A student is given three triangles and must determine which triangles are congruent. The student is also told that ∠B = ∠D = ∠Y. Which of the following statements is true?

Answer:

bu ney ben anlamadım gerçek

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Answer:

El área total a pintar será:

[tex]A_{tot}=25.2\: m^{2}[/tex]

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

[tex]A_{t1}=\frac{b*a}{2}[/tex]

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

[tex]A_{t1}=\frac{2.8*3}{2}[/tex]

[tex]A_{t1}=4.2\: m^{2}[/tex]

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

[tex]A_{tot}=25.2\: m^{2}[/tex]

Espero te haya sido util!

I think it is possibly point b

Answer:

Equation: 4x+15=3(x+6)

Step-by-step explanation:

Answer:

4x + 3 = 1(x + 12)

Step-by-step explanation:

Can u explain more?

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-324 ÷ -6 ÷ 3 ÷ -9 = 162

-324 ÷ 162 = -2

Answer: 15 i think

Step-by-step explanation:

Answer:

as their is no labeling so it's hard to answer

55+55=110

180-110=70

vertical angles

so x=70

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Answer:

949 inches

Step-by-step explanation:

79(12)+1=949 inches

Answer:

949 inches

Step-by-step explanation:

1 feet=12 inches

79·12=948

948+1=949 inches

79 feet=12 inches

So the airplane is 949 inches tall

HOPE THIS HELPS!

Answer:

21

Step-by-step explanation:

(9x2 + 6x – 7) + (-9x - 5) = 21

Answer:

The answer is 21

Step-by-step explanation:

I searched it up.

Answer:

45°, 45°, 90°

Step-by-step explanation:

the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third

Answer:

Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.

Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. [tex]\frac{1}{2}[/tex] (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].

Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.

Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.

Answer:

10/100 = x/125

1250 = 100x

1250/100 = 100x/100

12.5 = x

125 - 12.5 = 112.5

the sale price is $112.5

Answer:

3/36 or 1/12

Step-by-step explanation:

there are a possible 36 outcomes

probability of rolling a ten has 3 chances of happening:

5, 5

4, 6

6, 4

Answer:

The triangle is 1, since 10 - 1 is 9.

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

  48.6%

Step-by-step explanation:

Efficiency of energy conversion is the quotient of output energy and input energy.

  (3291 J)/(6771 J) × 100% ≈ 48.6%

The solar panel's conversion efficiency is about 48.6%.

_____

Additional comment

With current (2021) technology, the best efficiency one can expect from a solar panel is in the neighborhood of 23%.

Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

Answer:

similar to your question hope it will helpful for you

Step-by-step explanation:

I've done step by step hope it helps

Answer:

The quadrilaterals which have opposite angles congruent are parallelograms.

Hope it will help :)

The quadrilaterals always have opposite angles that are congruent should be parallelograms.

In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.

So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.

Learn more about quadrilaterals here: https://brainly.com/question/18057835

Answer:

D is the correct one

Step-by-step explanation:

The whole angle equals 72 and the partial angle equals 45

You put

72-45= 27

So 3x=27

Then you solve this equation

3x = 27

x = 27/3

x = 9

Step-by-step explanation:

Answer:

x = 10, 3x = 30

Step-by-step explanation:

3x equals thirty, they are the exact same angles

Answer:

412

Step-by-step explanation:

14,832 divided by 36 = 412

Answer:

412

Step-by-step explanation:

412

Number of hockey cards in Nick's album = 700

Number of hockey cards in each page of the album = 7

Number of pages in Nick's album :

[tex] = \tt \frac{700}{7} [/tex]

[tex] = \tt100[/tex]

▪︎Thus, the number of pages in Nick's album = 100

Percentage of album that is empty = 72%

Number of pages in the album that is empty :

[tex] = \tt 72\% \: \: of \: \: 100[/tex]

[tex] =\tt \frac{72}{100} \times 100[/tex]

[tex] = \tt \frac{72 \times100}{100} [/tex]

[tex] =\tt \frac{7200}{100} [/tex]

[tex] \color{plum}= \tt72 \: pages[/tex]

▪︎Thus, the number of empty pages in the album = 72

Number of pages in the album that are filled :

[tex] =\tt 100 - 72[/tex]

[tex]\color{plum} = \tt28 \: pages[/tex]

Number of pages filled with hockey cards = 28

Answer:

9/13

Step-by-step explanation:

Answer:

c. Weights of babies are normally distributed

Step-by-step explanation:

The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.

Answer:

15 minutes or less can save you 15% or more on car insurance

Step-by-step explanation:

Gieko