If 19 more than 2 times a number is 23, what is the number?

Answers

Answer 1
Answer: 2 is the unknown number.

Let x be the unknown number.

2x + 19 = 23
2x = 23 - 19
2x = 4
2x/2 = 4/2
x = 2

to check:
2(2) + 19 = 23
4 + 19 = 23
23 = 23



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Which sequence of transformations produces an image that is not congruent to the original figure?A. A translation of 3 units to the left followed by a reflection across the x-axis
B. A rotation of 90 clockwise followed by a translation of 6 units to the left
C. A translation of 5 units to the left followed by a dilation of a factor of 2
D. A reflection across the y-axis followed by a rotation of 180counterclockwise

Answers

Answer:

Option C

Step-by-step explanation:

Whenever transformation is done we have either reflection on a given line, or rotation about a fixed point or a dilation by a scale factor

Whenever transformations are reflections over a line, the original figure size will not be altered and hence we have congruent figures.

Similarly for rotations also original figures will not be altered

But whenever a dilaton by a scale factor other than 1 is done, we have either shrink or dilation of original figure.

So there is a chance of getting similar figure but not congruent figure.

So here we find option C is right answer

Option C.

All the other options deal with transformatios that just move the figure without modifying their dimmenssions.

When you dilate a figure you increase the dimmenssions, so the result is a different figure.

Find the equation of this line.

Answers

Answer:

9, 10, 7, 5

Step-by-step explanation:

Step-by-step explanation:

(-4,5) and (6,4)

y2 - y1 / x2 - x1

4 - - 5/ 6 - - 4

4 + 5/ 6 + 4

y = 9/10x - 3/2

-3/2 or - 1.5 is the point where the line crossed the y-axis

.Amy is an installer for the telephone company. She earns $10 per hour. How much does she earn in 40 hours?

Answers

Hi all you would do is 10*40 which is 400, so she would have earned 400 dollars in 40 hours

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?A. 0.8 = 0.8
B. –0.8 = –0.8
C. 3 = 3
D. –3 = –3

Answers

we have

1.4n + 2 = 2n + 3.2

we know that

If n=-2 is a solution of the equation

then

the value of n must satisfied the equation

Substitute the value of n in the equation

1.4*(-2) + 2 = 2*(-2) + 3.2

-2.8 + 2 = -4 + 3.2

-0.8 = -0.8 ----> the equation is true

so

The value of n is a solution of the equation

therefore

the answer is the option B

-0.8 = -0.8


1.4(-2)+2=2(-2)+3.2
-0.8=-0.8

Factorise xy(x-y)+yz(y-z)+zx(z-x)

Answers

expand first:-
yx^2 - xy^2 + zy^2 -yz^2 + xz^2 - zx^2
there is no  common factor  so we cant factorize this

What do you add to get 24 and multiply to get 144

Answers

That would be 12.

12 + 12 = 24

12 x 12 = 144