In the diagram below, BC= QR=2, AC= PRy, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
2²+y=22 is true of the side lengths in triangle ABC, then triangle ABC must be a
right triangle.
R
Triangle PQR is a right triangle
Click the arrows to choose an answer from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
determine that Choose....
It is given that a² + y² = 22 in triangle ABC, so
Choose....
This information shows that the triangles are congruent
because their three sides are congruent. Therefore, to show that triangle PQR is a right triangle,
we can use corresponding parts of the congruent triangles to show that
Choose...
X

C. The image shows two right triangles with one pair of congruent leg and congruent hypotenuse. Therefore, the congruence is HL.

D. This shows two right triangles that share one side (a leg) and have the other leg also congruent to each other. Therefore, their congruence is LL and SAS (leg, right angle, leg).

E. This shows two triangles with a pair of congruent sides, a pair of congruent angles, and they have a common side, therefore congruent since they are the same.

So, their congruence is SAS.

F. This shows two right triangles sharing the same hypotenuse, and with a pair of congruent angles. Therefore, their congruence is HA.

G. This shows two right triangles with congruent hypotenuses, one congruent pair of legs, and two congruent pairs of angles (if we include the right angle).

So, their congruence is HA and HL.

H. The two triangles here have a right angle, a pair of congruent sides, and a pair of angles that are opposite by vertex, so they are also congruent angles.

Therefore, their congruence is ASA.

Answer:

Scientific form = 3.001 X 10^5

Expanded Form = 300100

Step-by-step explanation:

Answer:315.105

Step-by-step explanation:3.001

                                          x105

                                       -----------

                                        315.105

The number of ounces necessary when 11 dinner guests want salad is 104 ounces.

It should be noted that 1 cup = 8 ounces. Therefore, 2.1 cups will be:

= 2.1 × 8 = 16.8 ounces.

The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.

Therefore, if 11 dinner guests want salad, the number of ounces of dressing that will be necessary will be:

= 16.8 × 0.56 × 11

= 104

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Answer:

N/A

Step-by-step explanation:

which question of the three do you need the answer for?

Hello !

Answer:

[tex]\Large\boxed{\sf Slope\ =0}[/tex]

Step-by-step explanation:

Considering two points [tex]\sf A(x_A, y_A)[/tex] and [tex]\sf B(x_B, y_B)[/tex], the slope of the line that passes through A and B is given by [tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex].

Given :

Now we can calculate the slope with the previous formula :

[tex]\sf m=\frac{-3-(-3)}{4-(-2)}[/tex]

[tex]\sf m=\frac{0}{6}[/tex]

[tex]\boxed{\sf m=0}[/tex]

The slope of the line is 0.

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Have a nice day

Answer:

[tex](-5y^4+4y^3)+(3y^2-2y)[/tex]

Mrs. Shipley moved at a speed of 12.0266 feet per second which was originally expressed in miles per hour.

The miles per hour multiplied by 1.466667 gives the speed in feet per second.

Mrs. Shipley ran at an average speed of 8.2 miles per hour.

These units must be converted into feet/second.

We know that,

1 miles/hour =  1.466667 feet/second

So, 8.2 miles/hour = 8.2 ×  1.466667 feet/second

∴ 8.2 miles/hour = 12.0266 feet/second

Therefore, Mrs. Shipley ran at a rate of 12.0266 feet per second, which was originally expressed in miles per hour.

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The equation of the line that passes through the points (-3,9) and (9,-1) is  y= -5x/6 + 39/6 .

The equation of line passing through two points (a,b) and (c,d) is given by the equation

(y-b)=m(x-a) ,

where m is the slope of the line ..

the slope m is (d-b)/(c-a)

In the question ,

it is given that

the required line passes through the points (-3,9) and (9,-1)

by formula m= (-1-9)/9-(-3)

= -10/12

So substituting the values in the formula the equation of the line becomes

y-9 = -10/12*(x-(-3))

12*(y-9) = -10*(x+3)

12y - 12*9 = -10x-30

12y-108= -10x -30

12y = -10x-30+108

12y = -10x + 78

On Dividing both sides by 12 , we get

y= -10x/12 + 78/12

y= -5x/6 + 39/6

Therefore , the equation of the line in slope intercept form that passes through the points (-3,9) and (9,-1) is y= -5x/6 + 39/6 .

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The ascending order of the given numbers is  2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

The first number = 0.24

The second number = 4×[tex]10^{-2}[/tex]

The second number is the form of scientific notation. To compare the numbers, all the numbers should be in same form. So we have to convert the scientific notation to the decimal form

4×[tex]10^{-2}[/tex] = 0.04

The third number = 0.042

Third number is decimal form

The fourth number = 2×[tex]10^{-4}[/tex]

Convert the scientific notation to the decimal form

2×[tex]10^{-4}[/tex] = 0.0002

The fifth number = 0.004

The order of the numbers from least to greatest

= 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

Hence, the order of the given numbers from least to greatest is 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

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Answer:

k = -5

Step-by-step explanation:

Slope of a line is given by

[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]

Answer:

212 ft

Step-by-step explanation:

[tex]455+2Q=879 \\ \\ 2Q=424 \\ \\ Q=212[/tex]

Answer:

A total of 252 pages

Step-by-step explanation:

In other words, 120 pages of a book were read yesterday and 132 pages of a book were read today. There are still 85 pages left to read in order to finish the book.

This word problem may seem tricky because it throws in the “85 pages left to read”, but you don’t have to pay attention to that because all the actual question is asking is for you to add the number of pages you already read.

To figure out how many pages were read in total, you must add.

So, 120 + 132 = 252

To do this addition problem mentally:

1. Add the 100s place, so 100 + 100 = 200

2. Add the 10s place, so 20 + 30 = 50

3. Add the 1s place, so 0 + 2 = 2

4. Add up all the sums that you got, so 200 + 50 + 2 = 252

You read 120 pages yesterday and 132 pages today. The values are correct.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

Let x be the number of pages that you read yesterday, and let y be the number of pages that you read today.

From the problem, we know that:

x + y = 120 + 132 (the total number of pages you read over the two days)

x + y + 85 = total number of pages in the book

We can simplify the second equation by combining like terms:

x + y + 85 = total number of pages in the book

x + y = total number of pages in the book - 85

We can substitute the first equation into the second equation to eliminate x + y:

120 + 132 = total number of pages in the book - 85

252 = total number of pages in the book - 85

total number of pages in the book = 252 + 85 = 337

Now we can substitute this value for the total number of pages in the book into the first equation to solve for x and y:

x + y = 120 + 132

x + y = 252

We can solve for one variable in terms of the other by subtracting y from both sides:

x = 252 - y

Now we can substitute this expression for x into the equation x + y = 252 and solve for y:

252 - y + y = 252

y = 132

So you read 120 pages yesterday and 132 pages today.

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The range of the function  f(x) = |x| − 4 is  {y | −4 ≤ y < ∞}.

Given the function is:  f(x) = |x| − 4

first find the domain of the function.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

domain= (−∞,∞)

Then, range is he set of all representations of domain elements or the set of all function outputs constitutes the range of the function f.

range = {y | −4 ≤ y < ∞}.

Hence we get the range of the function as {y | −4 ≤ y < ∞}.

.

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Answer

- 29xy

Step-by-step explanation:

5x(- 4y) = - 20xy

3x(- 3y) = - 9xy

- 20xy + - 9xy = - 29xy

Answer:

<1 = 150 degrees

<2 = 150 degrees

Step-by-step explanation:

Angle 1 and the 150 degree angle are equal. The reason is because they are on the same side of the transversal (the slanted line) and they are both above the parallel line that makes the up. They are called corresponding angles.

Angle 2 and angle 1 are equal because they are opposite each other. The term used in math is vertically opposite.

Reason:

To shift down 2 units, we go from f(x) = (0.5)x to g(x) = (0.5)x - 2.

The -2 at the end means we subtract 2 from each y coordinate.

Compare this to g(x) = (0.5)x - k to find that k = 2.

Answer:

The measure of BXD is 45°.

Step-by-step explanation:

[tex]x + 20 + x + 30 = 95 - x[/tex]

[tex]2x + 50 = 95 - x[/tex]

[tex]3x + 50 = 95[/tex]

[tex]3x = 45[/tex]

[tex]x = 15[/tex]

So the measure of angle BXD is 15 + 30, or 45°.

Answer:

10 - 2 y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Chocolate=X, Brownie=Y
2X+3Y=9.50 (Eq 1)
X+2Y=6.00 (Eq 2)

Multiplying Eq 2 by 2            
2(X+2Y=6.00) (Eq 3)                  

Subtracting Eq 3 by Eq 1
2X+3Y=9.50
2X+4Y=12.00
0-Y= -2.5                              
Y=2.5

Putting Value of Y in Eq 2
X+2(2.5)=6.00
X+5=6
X=6-5
X=1

Answer:

the answer is x=19 writing more bc I need more characters

Answer:

Obtuse angle is not a right angle

Obtuse angle are angles between 90° and 180°

Lines k and e are parallel, then the measure of angles are,

∠ABC = 19° and ∠ BCD = 19°

∠ABC = ∠ BCD = 19°

Based on the given conditions,

Lines k and e are parallel

The measure of angle ABC is = 19 degrees

We can see the Image,

∠ABC and ∠ BCD are equal,

Because k and e are parallel

So,

We can write,

∠ABC =  ∠ BCD

Then Given condition is,

Angle ABC is 19 degrees

We can write,

∠ABC = 19°

So, ∠ABC =  ∠ BCD

Then,

∠ BCD = 19°

Therefore,

Lines k and e are parallel, then the ∠ABC = 19° and ∠ BCD = 19°

∠ABC = ∠ BCD = 19°

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Answer:

A

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p} (m + n - 1)}}[/tex]

Answer:

yh it's A the other guy's right

Step-by-step explanation:

Answer:

The total flight duration from the United States to Portugal is 9 hours and 41 minutes.

Step-by-step explanation:

The distance between Portugal and United States is 4680 miles. The fastest way to get from Portugal to the United States is to fly. Taking this option will cost €220 - €1500 and takes 10h 29m. The distance between Portugal and United States is 4680 miles.

The domain of the function f(x) = 4 · x² + 12 · x - 5 is the set of all real numbers.

Functions are characterized by three features:

In this problem we need to find the set of all x - values of the polynomic function described in the statement. According to function theory, polynomials are continuous and their domain are always the set of all real numbers.

The domain of the polynomic function is the set of all real numbers.

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The required inequality would be w > 593 which represents the numbers that beat the school record, where w is the number of rolls of wrapping paper sold.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been that 593 rolls of wrapping paper set the record for the most rolls ever sold at a school fundraiser.

Let w be the number of rolls of wrapping paper sold.

As per the given condition, the required inequality would be as :

⇒ w > 593

Therefore, the required inequality would be w > 593 which represents the numbers that beat the school record.

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Answer:x<6

Step-by-step explanation:

Step-by-step explanation:

4+3x<22

3x<22-4

3x<18

3x÷3<18÷3

x<6