What is the measure of ABC in the figure below?

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

Using this rule, we get

[tex]M(-4,6)\to M'(1.5(-4),1.5(6))[/tex]

[tex]M(-4,6)\to M'(-6,9)[/tex]

And,

[tex]N(2,6)\to N'(1.5(2),1.5(6))[/tex]

[tex]N(2,6)\to N'(3,9)[/tex]

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

Answer:

B on edge

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Look for the exponets that are in decending order such as 5 2 1

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

Answer: 40

[tex]\frac{41}{3} -\frac{12}{4} =\frac{41(4)-12(3)}{12} =\frac{164-36}{12} =\frac{128}{12} =\frac{32}{3}\\\\\frac{\frac{32}{3}}{\frac{4}{15} } =\frac{32}{3}*\frac{15}{4} =\frac{8(4)}{3}*\frac{5(3)}{4}=40[/tex]

Answer:

D 3^3 *3^-7

Step-by-step explanation:

1/27 = 1/3^3 = 3^-3

When multiplying with the same base, add the exponents

A 3^1 * 3^-10  = 3^-9

B 3^-1 * 3^10 = 3^9

C 3^-4 * 3^7 = 3^3

D 3^3 *3^-7 = 3^-3

The ratio 4:3 means for every 4 girls there are 3 boys.

Divide total girls by 4, multiply that by 3 to get total boys:

180/4 = 45 x 3 = 135

There are 135 boys

For total students add boys and girls:

180 + 135 = 315 total students

Answer:

C. 32

Step-by-step explanation:

The shipment for 100 parts is received by a manufacturer. Shipment will be rejected if more than 5 parts are defective. The manufacturer selects a sample and based on that selected sample he accepts or rejects the whole shipment. The minimum size of the sample should be 32 based on the probability of less than 0.1 and then  decision should be made whether to accept or reject the shipment. If no defective part is found in the sample, shipment should be accepted.

Here's the answer:

1.(3,0)

2.(0,-12)

Answer:

option D.

Step-by-step explanation:

[tex]rate \: of \: change \: = \frac{change \: in \: y}{change \: in \: x} [/tex]

let's take any point on the graph. let's say (2, 16)

and one point we know is (0, 0)

[tex]rate \: of \: change = \frac{16 - 0}{2 - 0} [/tex]

= 16($) / 2 (hrs)

= 8 $/ hrs

that is option D.

Answer:

$8/hour

Step-by-step explanation:

Hi there!

In this scenario, the independent variable is time and the dependent variable is the cost. The cost of renting the kayak depends on how much time passes. Knowing this, the answer should be formatted like _ dollars/hour, not _hours/dollar. We can rule the first two options out.

Now, looking at the graph, when 1 hour passes, the cost is $8. This occurs at point (1,8). And this is constant throughout, for example, when 2 hours pass, the cost is $16 (2,16).

Therefore, the rate of change shown in the graph is $8/hour.

I hope this helps!

Given:

The numbers are 378811, 267988, 250260, 196596, 193171.

To find:

The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.

Solution:

The required values shown in the below table:

Numbers       Nearest hundreds   Nearest thousands   Nearest ten thousand

378811                378800                     379000                        380000

267988              268000                    268000                        270000

250260              250300                    250000                        250000

196596               196600                      197000                        200000

193171                 193200                       193000                       190000

Answer:

1000 cm²

Step-by-step explanation:

perimeter = 2 * length + 2 * width

2 * 5x + 2 * 2x = 140

10x + 4x = 140

14x = 140

x = 10

Length: 5x = 5(10) = 50

Width: 2x = 2(10) = 20

area = length * width

area = 50 cm * 20 cm

area = 1000 cm²

Answer:

-1/2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -6 - -5)/( -1 - -3)

   = ( -6+5)/( -1+3)

   =-1/ 2

Answer:

2/3

Step-by-step explanation:

If we know two points we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 3 -1)/(8 - 5)

    = 2/3

Answer:

67.9375

Step-by-step explanation:

x+15=19

x=19-15=4

x^3-x^-2+16x^-1 = 4^3-4^-2+16(4)^-1=67.9375

Answer:

Answer is 67.9

Step-by-step explanation:

[tex]{ \sf{x + 15 = 19}} \\ { \sf{x = 4}}[/tex]

function of x:

[tex]{ \bf{f(x) = {x}^{3} - {x}^{ - 2} + 16x {}^{ - 1} }} \\ { \sf{f(4) = {4}^{3} - (4) {}^{ - 2} + 16(4) {}^{ - 1} }} \\ { \sf{f(4) = 67.9}}[/tex]

Answer:

A

Step-by-step explanation:

1500 goats represent 100%

                              but 100% = 5*20%

1500 = 5*300 so 20% =300

a decrease by 20% is 1500-300 = 1200

==========================================================

Explanation:

Refer to the diagram below. I've added the variables x, y and z. The goal is to find x. For now, let's find y.

Focus on the larger triangle. The three angles of any triangle must add to 180.

46+64+y = 180

110+y = 180

y = 180-110

y = 70

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

Next, we'll find the angle z

The three angles y = 70, 49, and z all form a straight angle of 180 degrees.

y+49+z = 180

70+49+z = 180

119+z = 180

z = 180-119

z = 61

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

Now we can find angle x. Focus on the smaller triangle

z+52+x = 180

61+52+x = 180

113+x = 180

x = 180-113

x = 67 which points us to choice C as the final answer.

Answer:

W

Step-by-step explanation:

9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9

Answer:

i dont know

Step-by-step explanation:

i dont kow

Answer:

Step-by-step explanation:

                  Statements                              Reasons

1). y║z                                                      1). Given

2). ∠1 ≅ ∠5                                             2). Alternate interior angles

3). ∠3 ≅ ∠6                                             3). Alternate interior angles

4). m∠1 + m∠2 + m∠3 = ∠LAM              4). Angle addition postulate

5). m∠1 + m∠2 + m∠3 = 180°                 5). Def. of m

6). m∠5 + m∠2 + m∠6 = 180°                6). Substitution

Answer:

i think b

because -5 and -2

Answer:

CDJ

Step-by-step explanation:

Answer:

Choice C. C,D,J

Step-by-step explanation:

Answer:

y = 2x + 4

Step-by-step explanation:

(x₁ , y₁) --> (0 ,4)    & (x₂ , y₂) = (6 , 16)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{16-4}{6-0}\\\\=\frac{12}{6}\\\\m = 2[/tex]

(x₁  , y₁) --> (0 ,4)

y - y₁ = m(x - x₁)

y - 4 = 2(x - 0)

y - 4 = 2x

   y = 2x + 4

Answer:

8 sundaes

4:32

.......

.......

...

Step-by-step explanation:

To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.

Answer:

Step-by-step explanation:

Remark

This is a regular pentagon. The information given is enough the find the area of 1 triangle. There are 5 such triangles. So find the area of 1 of the triangles. The answer will be 5 times as much.

Givens

b = 18.3

h = 12.6

Formula

1 triangle = 1/2 * b * h

5 such triangles = 5 times as much

Solution

Area(1_triangle) = 1/2 * 18.3 * 12.6

Area (1_triangle) = 115.29

Answer: 5 * 115.29

Answer: 576.45

Answer:

12

Step-by-step explanation:

The proportion is equal to [tex]\frac{x}{10}=\frac{42}{35}[/tex]

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

[tex]60=5x[/tex]

Dividing both sides by 5, we have the answer as

[tex]x=12[/tex]

9514 1404 393

Answer:

  3) x = 55, y = 123, z = 123

  4) x = 276°

Step-by-step explanation:

Angles P and Q are alternate interior angles, so are congruent.

  P = Q

  3x -42° = 2x +13°

  x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

  Y = Z = 123°

__

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

Answer:

Just did this problem! Hope it helps

The proofing that ABCD is a parallelogram is done using parallelogram side theorem.

parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.

As, ABCD is a parallelogram.

So, BAC and DCA are alternate interior angles.

Also, AB||CD and BC||DA.

then, BCA and DAC, are alternate interior angle.

Now In ABC and CDA

BAC= DCA (proved above)

BCA= DAC (proved above)

AC= AC (Common)

By ASA congruency criteria,

ΔABC≅ ΔCDA

Hence, AB= CD and BC= DA (cpctc)

Learn more about parallelogram on:

brainly.com/question/20526916

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