I need this done for a test, and if someone can answer one of my past questions, thank you

Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°

The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.

Since we know that ΔPQR is a right triangle, then:

x² + y² = PQ²

We are also given that x² + y² = z², so by substitution, we have:

z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.

Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/343682

#SPJ2

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

$11.30

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation.

For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.

So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or

0.20 x $56.50 = $11.30

So, the amount of tip you are going to leave is $11.30.

This makes the total cost of your meal (to write on your charge slip or other payment)

$56.50 + $11.30 = $67.80.

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

Ok...so we have this........

y = ax2 + 4      ....... and we need to find "a"

So we have

-1 = a(-10)2 + 4

-5 = a (100)

(-1/20) = a      .......  So we have ..........

y = (-1/20)(x- 0)2 + 4   or just  (-1/20)x2 + 4

Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.

Hope This Helped!

I couldn't copy paste the equation on here, so i attached it in pictures.

Answer:

Step-by-step explanation:

if the two sides are 12, the third will have to be shorter so it could be:

( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )

can you choose me brainliest? :D

Answer:

carrots and cauliflower: 6

peas: 12

cabbage, sweetcorn: 18

Step-by-step explanation:

10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.

Answer:

the correct answer is d. x^3

Answer:

A

Step-by-step explanation:

It will always go down if you put more wait.

Can I have Brainliest

Answer:

Step-by-step explanation:11

You need to give more info so like show more of the question

Answer:

2/6  or 33.3%

1/6 or 16.65%

3/6 or 50%

0/6 0r 0%

Step-by-step explanation:

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

Answer: i think its c

Step-by-step explanation:

but im not totally sure

Answer:

B. s = 9 inches

Step-by-step explanation:

We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.

Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.

P = 4s

36 = 4s

Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :

36 = 4s

Divide 4 from both sides :

9 = s

s = 9

Sa Of Rectangular Prism - 65

Sa Of Pyramid - 85

TOTAL SURFACE AREA - 150

Answer:

Real number

Rational number

Step-by-step explanation:

Answer:

110 square centimeters.

Step-by-step explanation:

The area for a trapezoid can be figured out with the equation (a + b)h/2.

(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}

45 + (13)10/2 {Divide 10 by 2 to get 5.}

45 + 13(5) {Multiply 13 by 5 to get 65.}

45 + 65 {Add 45 & 65 to get 110.}

110 square centimeters.

The area of the figure is 110 square centimeters.

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Answer:

35/ 18

(Decimal: 1.944444)

Step-by-step explanation:

Answer

Step-by-step explanation:35/18

Answer:

113 square feet

Step-by-step explanation:

the total area covered can be determined by adding the area of the rectangle, triangle and square together

Area of a square = length² = 8² = 64 ft²

Area of a rectangle = length x width = 7 x 4 = 28 ft²

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²

64 + 28 + 21 = 113 ft²

answer:

im getting different answers so  wait ill do it myself

Step-by-step explanation:

Answer: D=16

Add 4 to both sides

D=16

Answer:

Answer: 16

Step-by-step explanation:

Do 12 -(-4 to get D

12 -(-4 = 16

Answer:

2,827.43

Step-by-step explanation:

Answer:600

Step-by-step explanation:

Answer:

20

___ x X = 120

100

x100       x 100

20x = 120

divide by 20 on both sides.

x = 6

Answer:

y= x+4

y=–4–2x

Step-by-step explanation:

using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)