Translate point B (3,-2) 5 units left and 4 units up. What are the coordinates of the new image?

Answer:

Step-by-step explanation:

Counter clockwise 180 degree rotation

Answer:

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

[tex]MN = 3x-8[/tex]

[tex]NO=2x-1[/tex]

[tex]OM=5x-22[/tex]

As all the sides are equal, i.e.

[tex]MN=NO=OM[/tex]

as

[tex]MN=NO[/tex]

[tex]3x-8=2x-1[/tex]

Add 8 to both sides

[tex]3x-8+8=2x-1+8[/tex]

[tex]3x=2x+7[/tex]

[tex]x=7[/tex]

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

[tex]MN = 3x - 8[/tex]

       [tex]= 3(7)-8[/tex]

       [tex]=21-8[/tex]

       [tex]=13[/tex]

Hence, the length of MN = 13

[tex]NO = 2x-1[/tex]

       [tex]=2(7)-1[/tex]

       [tex]=14-1[/tex]

       [tex]=13[/tex]

Hence, the length of NO = 13

[tex]OM = 5x-22[/tex]

      [tex]= 5(7)-22[/tex]

      [tex]= 35-22[/tex]

      [tex]=13[/tex]

Hence, the length of OM = 13

Answer:

I think the answer is B.23

Answer:

4

Step-by-step explanation:

x²=16

x=√16

x=4

Answer:

x^2=16

^ stands for power or exponent

so, the equation is: x square= 16

for this x should be equal to 4

now,

4^2=16

Step-by-step explanation:

Answer:

<A = 117degrees

Step-by-step explanation:

<A and <B are verticle angles, as given. Hence they will be of equal measures. It is given that <A = 5x -3, and <B = 4x + 21.

Using this, set up an equation;

<A = <B

5x - 3 = 4x + 21

Inverse operations,

5x - 3 = 4x + 21

    +3          +3

5x = 4x + 24

-4x   -4x

x = 24

Now substitute back in, to find the measure of <A,

5x - 3

x = 24

5 ( 24 ) - 3

120 - 3

117

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

Answer:

he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5

Step-by-step explanation:

Answer:

for number one the answer is D). 1,250 sq ft. for number 2 it is A.) 125 ft

Thats all you really need to answer, it doesnt ask for you to explain it or anything.

Answer:

alternate exterior angles and lines are parallel so

10x is congruent to 11x-8

second question

alternate interior angles and lines are paralles so angles are congruent

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

https://brainly.com/question/10873737

Given :

For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.

To Find :

How many litres of lemonade were sold.

Solution :

Initial amount of lemonade, I = 12 1/2 = 25/2 litres.

Final amount of lemonade, F = 2 5/8 = 21/8 litres.

Amount of lemonade sold, A = I - F

A = 25/2 - 21/8 litres

A = 9.875 litres

Therefore, 9.875 litres of lemonade were sold.

Hence, this is the required solution.

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

Answer:

r = 11

Step-by-step explanation:

Is the question

r - 4 = - 3 + 10

So what's r

r - 4 = -3 + 10      Combine the right

r - 4 =  7              Add 4 to both sides

r - 4 + 4 = 7 + 4

r = 11

Answer:

No solutions (roots)

Step-by-step explanation:

The root of an equation is basically the solution of the equation. If I'm reading the problem correctly, the equation is (6+x)*2 - x*2 = 168.

We distribute the (6+x)*2 part and get 12+2x - 2x = 168. Uh oh.. the 2x terms cancel each other out and we are left with 12=168. Either I'm reading the equation wrong or the equation has no solutions.

Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps

Answer:

A, and D

Step-by-step explanation:

If you go through all the problems, just replace "b" with "(4)" into a calculator. For A and D, they both equaled 180.

The expression that has a value of 180 when b = 4 is D. 51b−24

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

87b - 179 + 957/87.

= 87(4) - 179 + 857/87.

= 348 - 179 + 9.85, will not be 180.

33b12, will not be 180 at b = 4.

b² + 120,  will not be 180 at b = 4.

51b - 24.

= 51(4) - 24.

= 204 - 24.

= 180.

11b + 187 - 1756/13.

= 11(4) + 197 - 135.07, will not be 180 at b = 4.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b

sorry

Answer: 69 hope this helps!

Answer:

cheetah: 3 hours

Antelope: 5 hours

Lion: 6 hours

Elephant: 15 hours

Step-by-step explanation: i choose these answers because of the amount  of time it takes for each animal to run 150 nonstop

50*3=150

30*5= 150

25*6= 150

15*10= 150

Answer:

Cheetah: 3 hours

Antelope: 5 hours

Lion: 6 hours

Elephant: 10 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

Answer:

y= -2x+6

Step-by-step explanation:

use point slope form ----> y-y,=m(x-x,)

(the commas serve as ones)

y-4= -2(x-1)

use distributive property

y-4= -2x+2

add 4 to each side

y= -2x+6

Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

Step-by-step explanation:

. We assume, that the number 10 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 10 is 100%, so we can write it down as 10=100%.

4. We know, that x is 0.034% of the output value, so we can write it down as x=0.034%.

5. Now we have two simple equations:

1) 10=100%

2) x=0.034%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

10/x=100%/0.034%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 0.034% of 10

10/x=100/0.034

(10/x)*x=(100/0.034)*x - we multiply both sides of the equation by x

10=2941.1764705882*x - we divide both sides of the equation by (2941.1764705882) to get x

10/2941.1764705882=x

0.0034=x

x=0.0034

now we have:

0.034% of 10=0.0034

Step-by-step explanation:

10

Answer:

I'm going to list the answers below in the explanation.

Step-by-step explanation:

JL = 36 False

ML = 36 True

MP = 48.5 Not enough info

Angle JLK = 102 True

Angle PNK = 102 False

MP || PK False

The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!

Good luck and I hope this helps.

9514 1404 393

Answer:

  F, T, T, T, T, F

Step-by-step explanation:

PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.

a) JL is not 36, it it twice that. (F)

b) ML is the same length as PN, 36. (T)

c) MP is half of LK, so is 97/2 = 48.5. (T)

d) ∠JLK corresponds to ∠JMP, so is congruent. (T)

e) ∠PNK corresponds to ∠JLK, so is congruent. (T)

f) MP intersects PK at point P, so cannot be parallel. (F)

Answer:

x = 2/3

Step-by-step explanation:

2(x-2/3)=0

2x-1 1/3=0

2x=1 1/3

Devide both sides by 2

x=2/3