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Answer:

it is c

Step-by-step explanation:

got it correct on the quiz

The given plane has normal vector

[tex]x-2y=5\implies\mathbf n=\langle1,-2,0\rangle[/tex]

Scaling n by a real number t gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

[tex]\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle[/tex]

This line passes through (2, 1, 1) when t = 0, and the line intersects with the plane when

[tex]x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1[/tex]

which corresponds the point (3, -1, 1) (simply plug t = 1 into the coordinates of [tex]\mathbf r(t)[/tex]).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

[tex]\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}[/tex]

In this case the answer would be the last option

because it is shrunk by 2/3 on just the x side

D is the only one who has that first transformation

By a theorem of similarity, it can be shown that △JKL ~ △MNP.

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

Another example is all circles are similar circles.

The ratio of corresponding sides of similar objects is always the same.

Any two triangles will be similar if the ratio of their corresponding side is same.

If △JKL ~ △MNP then their corresponding side ratio will definitely same.

If corresponding side is same order in JKL and MNP then,

JK/KL = MN/NP

Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".

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Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9    ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y  - 1 =  -4*x + 16    ⇒   y  = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

Answer:

1 4 5

Step-by-step explanation:

jus took the test

Answer:

The correct answer is: (just took the test)

if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram

if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria

Step-by-step explanation:

For the given answers the answers that follow the law of syllogism is options A and  B.

Given that,
4 statement is given, and we have to pick the statement that follows the low of syllogism.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here
There are only two statements that are following the law of syllogism. ie.

A. If there is a children's movie playing at the cinema, Maria's mother will take her to see it. When Maria's mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children's movie playing at the cinema, Maria's mother will buy popcorn for Maria.

B. If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

C. and D. are invalid statement because it does not follow the Law of Syllogism.

Thus, for the given answers the answers that follow the law of syllogism is options A and  B.

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Answer:

Angle E = 70°

Step-by-step explanation:

Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.

Angle R and angle E are consecutive angles in parallelogram RELA.

One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.

Therefore:

m<R + m<E = 180°

110° + m<E = 180°

Subtract 110° from both sides

m<E = 180° - 110° = 70°

Answer:

(4,5)

Step-by-step explanation:

Answer:

The expression to this question can be defined as follows:

Step-by-step explanation:

Given angle:

1. 60°

2. 120°

Formula:

[tex]\to \bold{\ angle + 360 \ n}[/tex]

The Expression for point 1:

[tex]\to 60^{\circ} + 360 \ n\\[/tex]

The Expression for point 2:

[tex]\to 120^{\circ} + 360 \ n\\[/tex]

The correct answer is 0.45 or 45%

Explanation:

In this case, the probability of selecting a student whose major is Humanities can be calculated by finding the number of Humanities students, which is considered as the desired outcome, and dividing this by the total of outcomes or students. The process to find the probability is shown below:

[tex]P = \frac{Desired outcomes}{Total outcomes}[/tex]

[tex]P= \frac{Students from Humanities}{Total students}[/tex]

[tex]Students of Humanities = 5 + 5 + 3 + 3 = 16 students[/tex] (Add the students of each year that are part of Humanities)

[tex]Total of students = 35[/tex] (This number is provided in the question but can also be found by adding all numbers in the table)

[tex]P = \frac{16}{35}[/tex]

[tex]P = 0.45[/tex]

Multiply the probability by 100 to know its equivalent in percentages 0.45 x 100 = 45. This means the probability that a student of humanities is selected is 0.45 or 45%.

Answer:

The third one, 104,000,027,571

Step-by-step explanation:

The first and second ones are not the answers because the problem does not say one hundred forty billion.

The last one is not the answer because the problem doesn't say two hundred seventy thousand.

Thus leaving the third one, which fits the description of the number.

Answer:

x=200

Step-by-step explanation:

Answer:

[tex]x=200[/tex]

Step-by-step explanation:

[tex]x+300=500[/tex]

There is an easy way to solve this.

Let's do

[tex]500-300[/tex]

Since [tex]500-300[/tex] is equal to 200, then x would be 200.

[tex]x=200[/tex]

Hope this helps!

Answer:

Yes, it is possible.

Step-by-step explanation:

It is possible to have same profit rate.

The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.

Or the company Q may have higher profit rate on individual sales than company Z.

Answer:

d

Step-by-step explanation:

Answer:

Time t = 15 years

Step-by-step explanation:

Interest = 892.50

Principal = 1400

Rate = 4.25%

Time = unknown

But

interest I = Principal p * rate r * time t

Time t = interest I/(principal P * rate r)

Time t=( 892.50*100)/(1400*4.25)

Time t=89250/5950

Time t = 15 years

Answer:

2 hundreds.

Step-by-step explanation:

25 tens is equal to 250.

25 x 10 = 250

5 tens = 50, 5 x 10

250 - 50 = 200

200 = 2, hundreds.

Answer:

2 hundreds

Step-by-step explanation:

Answer:

The longest length of carpet is 160 cm.

Step-by-step explanation:

Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :

[tex]9 \: units = 360 \: cm[/tex]

[tex]1 \: unit = 360cm \div 9[/tex]

[tex]1 \: unit = 40 \: cm[/tex]

Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :

[tex]4 \: units = 40 \: cm \times 4[/tex]

[tex]4 \: units = 160 \: cm[/tex]

Answer:

160cm

Step-by-step explanation:

2+3+4= 9

4/9 x 360= 160cm

Answer:

74%

Step-by-step explanation:

16.9/22.9。。。。。。。

Answer:

74%

Step-by-step explanation:

22.9=100%

16.9= ?

16.9×100÷22.9=73.8

Round to the nearest % =73.8=74

Answer =74%

Answer:

never heard about it

Step-by-step explanation:

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

Answer:

x= 1.333333333333 or 1 1/3

Step-by-step explanation:

solve for x, 0 times 5= 0 plus 4 is 4 div by 3 is 1 and 1/3

Answer:

Difference in length = 1/4 yards

Step-by-step explanation:

Given:

Blue scarf in yard = 7/8 yard

Another car in yard = 5/8 yard

Find:

Difference in length

Computation:

Difference in length = Blue scarf in yard - Another car in yard

Difference in length = 7/8 - 5/8

Difference in length = 2/8

Difference in length = 1/4 yards

Answer:

X= -2

Step-by-step explanation:

Given: 16 = -4(x - 1) + 4

Solution:

Subtract 4 from both sides

12 = -4(x -1)

Divide -4 on both sides

-3 = x - 1

Add -1 on both sides

x = -2

Round each number to the nearest hundred.

 212 = 200.

 314 = 300.

How much more marbles does Peck have?

 314 - 212 = 102.

That is your answer. Hope this helps!

Answer:

100 more marbles

Step-by-step explanation:

So first let's round the numbers to the nearest hundred. So 212 rounds to 200, and 314 rounds to 300. Then we do 300-200 and get 100. SO the answer is 100.

Answer:

Surface area = 13.5 unit square.

Step-by-step explanation:

We have given the side length of cube = 3/2 units

Now we have to find the surface area of the cube by using the given information. Therefore we must use the below formula to find the surface area. the formula is as follows:

Surface area = 6 (side)^2

Now plug the given information in the formula.

Surface area = 6 (3/2)^2

Surface area = 13.5 unit square.

Answer:

[tex]-\frac{7}{2} x+12[/tex]

Step-by-step explanation:

if you need step by step explanation i will upload.

Answer:

x=2 and y=1

Step-by-step explanation:

2x+y=5

x-y=1

buy adding both equations we get

3x=6

x=2  ( divide 3 on both sides)

put x=2 in any equation  

2-y=1

y=2-1

y =1

p2

Problem#2

Let say two complementary angles are A & B

difference of two complementary angles is 30°

=> A - B = 30

Sum of  two complementary angles is 90°

=> A + B = 90

Hence A = 60° , B = 30°

Problem#3

Total bill  = 30

$ 10 Bills = A

$ 20 Bills  = B

10 * A  + 20* B = 460

A + B = 30

A = 14 , B = 16

Problem#4

4x+2=y

2y−8x=10

The first step is to simplify the second equation into  

y=mx+b form.

2y−8x=10y  

y−4x=5

y=4x+5

Now, the two equations are:

y=4x+2

y=4x+5

5. 6. 11. 17. 28. 45 . 73

5 &6 are given,

Then,

5+6=11

6+11=17

11+17=28

17+28=45

So,

28+45=73

Answer:

73

Step-by-step explanation:

We are adding the two numbers before

5+6 = 11

6+11 = 17

11+17 = 28

17+28 = 45

28+45 =73