What method could be used to prove the triangle congruent?

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

C, short answer

Step-by-step explanation:

trust

First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2

[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]

Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept

Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b

y = 15x - 20

y is the money in the bank account in dollars

x is the day

Answer:

[tex] \frac{25}{12} [/tex]

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

[tex] \frac{25}{4} \times \frac{1}{3} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{25 \times 1}{4 \times 3} [/tex]

3) Simplify 25 × 1 to 25.

[tex] \frac{25}{3 \times 4} [/tex]

4) Simplify 3 × 4 to 12.

[tex] \frac{25}{12} [/tex]

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

Answer:

first answer

Step-by-step explanation:

yeaaaaaaaaaa

Answer:

Your answer is easy it is 30

please give brainliest

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Answer:

£8.10

Step-by-step explanation:

Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3

£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then

cost of 3 Kg = 3 × £2.70 = £8.10

Answer:

it may helps......

Step-by-step explanation:

we can solve it by unitary method....So,

Cheese (in Kg). Cost (in Rs)

4kg 10.80

3kg X

Now, 4×x = 3×10.80

X=3×10.80/4 (by transposing)

X=2.7×3

X= 8.1 Answer

Mark it as brainlist

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (11 , -4)\\(x_2 , y_2) = (7 , -3)\\[/tex]

Plug in the corresponding numbers into the corresponding variables:

slope (m) = [tex]\frac{-3 - (-4)}{7 - 11} = \frac{-3 + 4}{7 - 11} = \frac{1}{-4} = -\frac{1}{4}[/tex]

[tex]-\frac{1}{4}[/tex] is your answer.

~

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Answer: That is a common saying used in the USA as well as many other places. People enjoy when people say this because it helps them feel good and be grateful!

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

y = 3

Step-by-step explanation:

Since they both go through 3 for the y-coordinate that means the equation is just y = 3.

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

Answer:

The product is  -81 t² + 16

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

Multiply (ax) by (cx) ⇒ 1st × 1st

Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears

Add the two products ⇒ like terms

Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Answer:

x=1

Step-by-step explanation:

Just look at the x axis and see where the coordinate lands on and it's 1

Answer:

1. 168 cm^{2}

2. 156 in^{2}

3. 30 cm^{2}

4. 360 ft^{2}

Step-by-step explanation:

All ratio questions. We can set up proportions then cross multiply

1. \frac{8}{12} \frac{112}{x}

8x = (112 x 12)

8x = 1344

x = 168m

2.\frac{4}{8} \frac{78}{x}

4x = (78 x 8)

4x = 624

x = 156in

3. \frac{5}{2} \frac{75}{x}

5x = (75 x 2)

x = 30cm

4. \frac{8}{10} \frac{288}{x}

8x = ( 288 x 10 )

8x = 2880

x =360ft

The coordinates of the image after a rotation of 180° counterclockwise about the origin is A' ( 7 , 3 )

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the coordinate of the point be A

Now , the value of A is A ( -7 , -3 )

And , 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

So , the coordinates of the image is A'

And , the value of A' = A' ( 7 , 3 )

Hence , the rotation is solved and the image is A' ( 7 , 3 )

To learn more about rotation click :

https://brainly.com/question/3956347

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Answer:

And it was not the first time that a lot of the people to a new report by a single limited few single few group an

Step-by-step explanation:

I have been using the address of the most important thing to remember is that you have the right to be able to use the same time as I thing

Complete Question

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio

Answer:

3

Step-by-step explanation:

The formula for Number of term of a GP = ar^n-1

The sum of 3rd and 4th terms of GP is 108

ar² + ar³ = 108... Equation 1

ar²(1+ r) = 108 ..... Equation 1

The sum of 4th and 5th term of the same GP is 324 ,

ar³ + ar⁴= 324... Equation 2

ar³ (1 + r) = 324..... Equation 2

find common ratio

ar²(1+ r) = 108 ..... Equation 1

ar³ (1 + r) = 324..... Equation 2

Solving for r

ar²(1+ r)/ar³ (1 + r) = 108/324

1/r = 1/3

r = 3

Hence, Common ratio = 3

Answer:

pi = V - r^2

Step-by-step explanation:

subtract r^2 from both sides !!!

Answer:

$140

Step-by-step explanation:

5 + 7 = 12

240/12 = 20

20 x 7 = $140

Hope this helps!!

Answer:

Slope: 10

Y-intercept= 30

Step-by-step explanation:

y= mx + b

m = slope

b = y-intercept

y= 10x + 30

Slope: 10

Y-intercept= 30