The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′(−1, 4) , Q′(−2, 2) , and R′(2, 1) .


Which statement correctly describes the relationship between △PQR and △P′Q′R′ ?

A) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

B) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

C) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

D) △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′ .

The answer is D for the quick answer

27÷2356=

27 goes into 235 8 times which is 216

235-216 is 19

U bring down the 6 which makes 196

27 goes into 196 7 times which is 189

196-189=7

So the answer is 87 reminder 7

Answer:

derp

Step-by-step explanation:

derp lol

Answer: [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

If you solve for y, then it will be in y = mx + b format where m is the slope.

3x + 5y = 29

-3x           -3x

       5y = -3x + 29

       [tex]\frac{5y}{5} = \frac{-3x}{5} + \frac{29}{5}[/tex]

       [tex]y = \frac{-3}{5}x + \frac{29}{5}[/tex]

m = [tex]-\frac{3}{5}[/tex]

To find the slope of the line for the equation 3x+5y=29, rewrite it in slope-intercept form y=mx+b. After isolating y, you'll find that the slope m is -3/5.

To find the slope of the line represented by the equation 3x + 5y = 29, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we solve for y:

Now, the equation is in slope-intercept form, and we can easily identify the slope as -3/5. This means there is a decrease of 3 on the vertical axis for every increase of 5 on the horizontal axis. Thus, the slope of the line is -3/5.

Hello  AskMeBosh...again

Since we know that there are 2 friends, and 40.50 is going to be split

We would do 40.50 divided by 2

40.50/2

= 20.25

:)

Answer:

(a)[tex]5n=3n+15[/tex]

(b)[tex]n=7.5[/tex]

Solution is not viable

Step-by-step explanation:

(a)

Total number of red ping pong balls[tex]=5[/tex]

Total number of red ping pong balls[tex]=n[/tex]

Now, probability of an event [tex]=\frac{Number of favourable events}{Total number of events}[/tex]

Then, theprobability of randomly choosing a blue ping pong ball is

[tex]=\frac{n}{n+5}[/tex]

Given that this probability is[tex]=\frac{3}{5}[/tex]

Thus, we have that,

[tex]\frac{n}{n+5}= \frac{3}{5}\\ 5n=3(n+5)\\5n=3n+15[/tex]

(b)

Solving, the above equation,

[tex]5n=3n+15\\2n=15\\n=7.5[/tex]

This solution is not viable as, number of ping pong ball must be an integer and not a decimal number.

Circumference of Earth = Pi* Diameter= 3.1415926536X7926Miles=24,900.3Miles

Substitute 5 and 3 for a and b in the original expression.

8(a+b)

8(5+3)

Using the rules of PEMDAS, solve the inside of the parentheses first, then multiply accordingly.

8(8)

The final answer is 64.

Answer:

The given equation is

ax b= 0,

As we see that, it is a linear equation in one variable containing two constant.

So , a≠ 0 [then equation has no meaning.If a=0 , then [tex]0 \times x=0[/tex], which is meaningless]. ∴ a=0 is incorrect.

Similarly , b≠ 0 [ Reason same as above]. ∴b=0 is incorrect.

⇒3 x=0

⇒x=0 is the correct response.

Let me explain by this giving an example

⇒5 x=0

⇒ x=0 but 5≠0

So, x=0 or 3 x=0 is correct response.

Basically you subtract the amount of people who rode in cars so and divide the number you get by the number of buses.

404-5=399

399/7=57 kids on each bus

it would be 40000000 because there there are 7 zeroes and then you and then you multiply the two twos together and then put it in the front.

Answer:

the approximate value of 200,000 x 200 is 40,000,000

Step-by-step explanation:

the approximate value of 200,000 x 200

To find the approximate value we multiply 200,000 times 200

WE have two zeros in 200. so when we multiply we add two zeros

now we multiply the numbers

2 times 2 gives us 4

[tex]200,000 \ times \ 200= 40,000,000[/tex]

So the approximate value of 200,000 x 200 is 40,000,000

Answer:

Using definition of midpoint, Q is the mid point of PR.

Step-by-step explanation:

Given 2PQ=PR

And Q lies on the line PR (It should be given in the problem itself else we have to assume it to prove "Q is the midpoint of PR").

Then PR=PQ+QR using segment addition postulate.

Let us plugin PR in given equation.

2PQ=PQ+QR

Subtract PQ from both sides.

2PQ-PQ=PQ+QR-PQ

PQ=QR

Since Q lies on the line PR and PQ=QR, Q is the mid point of PR.

Hence proved.

In geometry, if 2PQ=PR, point Q is the midpoint of PR. This is because the given condition implies that the length of segment PQ is half of the length of the whole segment PR, meaning Q divides PR into two segments of equal lengths.

In Geometry, the statement 2PQ=PR is the given condition. Prior to your question, we are assuming that PQ and QR are line segments. This would imply that P, Q, and R all lie on the same line, with P and R being the endpoints and Q somewhere between them.

Now, the provided condition (2PQ=PR) means that the length of segment PQ is half of the length of the whole segment PR. If we assume segment PQ is 'a' units long, then 2PQ would be '2a' units long. According to the equation, PR is also '2a' units long.

By definition, the midpoint of a line segment is the point that divides the segment into two segments of equal length. Since PQ is half of PR, point Q would divide PR into two equal segments, PQ and QR, both being 'a' units in length. Therefore, Q is the midpoint of PR.

https://brainly.com/question/29136389

#SPJ3

The inequality "x ≤ 5" means that the value of x is going to be less than or equal to the quantity 5.

Because of this, the correct answer on the graph would be a filled in dot (meaning starting at that quantity, rather than one less or one more than), and an arrow pointing to the left.

The value of x could be 5, 4, 3, and so on. Any quantity lower than, and including, 5 is a possible answer for the value of x.

The correct answer is the 2nd option.

Answer:

Graph represented by option B is the correct choice.

Step-by-step explanation:

We have been given an inequality [tex]x\leq 5[/tex]. We are asked to find the graph of the given inequality.

Our given inequality tells that solution is any value of x less than or equal to 5.

Since our given inequality has less than or equal to sign, then the number line will have a solid dot at [tex]x=5[/tex].

Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.

Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.

Answer:

w = -1.44 and w = -14.06

Step-by-step explanation:

That "(3) / (4)" in  (w+14)/(4w+6)=(3)/(4) looks fishy.  Assuming that you really meant 3/4, then we have   (w+14)/(4w+6)=3/4.

Mult. both sides by 4 to remove the fraction:  4(w+14)/(4w+6) = 3.

Multiply out (w+14)/(4w+6):  4w^2 + 6w + 56w + 84.  Combine the w terms, obtaining 4w^2 + 62w + 84.  Then the original equation becomes:

4w^2 + 62w + 84 = 3, or  4w^2 + 62w + 81 = 0.

This is a quadratic equation, with a = 4, b = 62 and c = 81.  The two roots (values of

w) are as follows:

        -62 plus or minus √(62^2-4(4)(81)

   ----------------------------------------------------------

                               8

         -62 plus or minus √(2548)           -62 plus or minus 50.48

w = -------------------------------------------   =  ---------------------------------------

                            8                                                  8

Simplifying, we get w = -1.44 and w = -14.06

To solve the algebraic equation (w+14)/(4w+6) = 3/4, we clear the fractions, combine like terms, and isolate the variable w, which gives us the solution w = 4.75.

To solve the equation (w+14)/(4w+6) = 3/4, we first clear the fractions by multiplying both sides by the least common denominator, which is 4(4w+6). This eliminates the denominators and gives us:

4(w + 14) = 3(4w + 6)

Distribute the 4 on the left side and the 3 on the right side:

4w + 56 = 12w + 18

Next, we want to get all the terms with w on one side and the constant terms on the other. Subtract 4w and 18 from both sides:

4w + 56 - 4w - 18 = 12w + 18 - 4w - 18

This simplifies to:

38 = 8w

Divide both sides by 8 to isolate w:

w = 38 / 8

Finally, simplify the fraction to find the value of w:

w = 4.75

125 x .06 = 7.5

6% of $125 is $7.50

Answer:

The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.

Step-by-step explanation:

First we translate the center of dilation and figure so the origin becomes the center of dilation.

Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point

(x, y)→(x-2, y-2)

The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule

(x, y)→(2x-4, 2y-4)

Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule

(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)

The first point in the original figure, at the top, is (0, 6).  Applying the transformation gives us

(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)

The point on the right of the pre-image is (2, 4).  Applying the transformation rule gives us

(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)

The point on the left of the pre-image is at (-3, 3).  Applying the transformation rule, we have

(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)

Answer:

Here is the correct answer

Step-by-step explanation:

I hope this helps!

First we find increase in weight

Increase in weight is =92-80 = 12

To find percentage increase in weight we use formula =( increase / actual) ×100

Percentage increase =( 12÷80)×100= 15 %

The answer is about 4%

0.836, 0.683, 0.386, and then 0.3

Here's the order:

0.300   0.386   0.683   0.836

Answer:

B, A, C

Step-by-step explanation:

B has the largest angle of 73.677, A has the second largest of 55.345, and C has the smallest angle of 50.977

The order of the angles of the triangle from largest measure to smallest measure. will be ∠B, ∠A, and ∠C.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Angle obtained from the triangle are;

∠B=73.6°

∠A= 55.345°

∠C =50.977°

As a result, the arrangement of the triangle's angles is from biggest to smallest measure. ∠B, ∠A, and ∠C will be the results.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ2

Answer: Option (A)1 more people marker and 1 more die.

Step-by-step explanation:

We have to pack expansion packs for the game of checkers in such a way such that there should be enough cards as per requirement.

So for that we have to find packs of each item by dividing each pack by part numbers and what is left after as remainder.

People marker =287 =6(47) + 5 ( as each pack of people marker contains 6 items)

6-sided die =143 = 3(47) + 2 (as each pack of 6- sided die contains 3 items)

Teleport-er marker=341 = 7(48) + 5 (as each pack contains 7 teleport-er marker)

So we can see that for 48th pack we have enough Teleport-er marker just we need  one People marker and one 6-sided die. which is option A.

Given the quantities of game components available, we can form 47 complete expansion packs. We can form another pack if we had 1 more 6-sided die and 1 more people marker. Thus, the correct answer is option A.

To answer the question, we first need to calculate how many complete expansion packs can be made with the available components:

Given the available quantities, we can make a total of 47 complete packs. However, we'd have enough components to complete one more pack if we had 1 more die and 1 more people marker. Therefore, the correct answer is option A.

https://brainly.com/question/32661515

#SPJ3

the equation would be m+12 because it stands for 12 more than m number of machines.

i think it is 1:4 or as a fration it is 1/4

Answer:

the highest number Nancy made was 985,431

Step-by-step explanation:

if you put Nancy greatest numbers in order from greatest to least it would come out to 9 8 5 4 3 1

The ratio "3 to 4" can also be written as "3:4". Typically, though, we write it as "3/4" like a fraction. Those are the three main ways to write out ratios ( a to b, a:b, or a/b).

Answer:

As given, measure of angle 4 is 70°

Then what would be the measure of ∠8.

Following cases comes into consideration  

1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then

 ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

2nd possibility

But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then

⇒ ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

3rd possibility

If ∠4 and ∠8 are alternate exterior angles.

then, ∠4 = ∠8=70°

4th possibility

If If ∠4 and ∠8 are corresponding angles.

then, ∠4 = ∠8=70°

Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.

10x + 5 = 8x + 2

Subtract 5 from both sides.

10x = 8x - 3

Subtract 8x from both sides.

2x = -3

Subtract both sides by 2.

x = -1.5

Because we are able to get a value for x, we know that the equation is true, as we can plug the value of x back into the original equation to verify.

10(-1.5) + 5 = 8(-1.5) + 2

-15 + 5 = -12 + 2

-10 = -10 √ this equation is true.

For the equation 10x + 5 = 8x + 2, the statement is true.

The given equation is 10x + 5 = 8x + 2.

The first thing to do is to subtract 5 from both sides.

10x + 5 - 5 = 8x + 2 - 5

10x = 8x - 3

Then, we'll subtract 8x and this will be:

10x - 8x = -3

2x = -3

Divide both side by 2

2x/2 = -3/2

x = -1.5

10x + 5 = 8x + 2,

10(-1.5) + 5 = 8(-1.5) + 2

-15 + 5 = -12 + 2

10 = 10

Therefore, the statement is true

Read related link on:

https://brainly.com/question/4332198