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2 years ago

Which of the following is an example of a theorem?

Mathematics

1 answer:

kupik [55]2 years ago

6 0

Answer:

A) The areas of two congruent figures are equal.

Step-by-step explanation:

Solution:

2nd, 3rd, and 4th statements are formulas, not theorems.

Areas of two congruent figures that are equal is a theorem.

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Please help me with this

Zanzabum

Answer:

−4y+32

Step-by-step explanation:

Let's solve for x.

−9

x+8

Step 1: Flip the equation.

−9

x+8=y

Step 2: Add -8 to both sides.

−9

x+8+−8=y+−8

−9

x=y−8

Step 3: Divide both sides by (-9)/4.

−9

y−8

−9

−4y+32

I think this is the right answer.

6 0

3 years ago

VERY IMPORTANT... write the equation of the line that has a y intercept of (0.4) and a slope of -3/2

shutvik [7]

Answer:

y = -3/2 x + 4

Step-by-step explanation:

y-4 = -3/2 ( x-0)

y = -3/2 x + 4

7 0

3 years ago

Find the slope of the line (18,0)(10,-5)

Leya [2.2K]

Answer:

$m=\frac{5}{8}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (18, 0)

Point (10, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{-5-0}{10-18}$
Subtract: $m=\frac{-5}{-8}$
Simplify: $m=\frac{5}{8}$

3 0

3 years ago

Read 2 more answers

How do you write 415 thousandths

Greeley [361]

415 thousandths is written out 0.415

8 0

3 years ago

Read 2 more answers

A figure has been dilated from the origin by a scale factor of

Darya [45]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

$A = (x,y)$

Let the scale factor be n

When dilated, the new figure is:

$A' = n * A$

$A' = n * (x,y)$

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. $\frac{1}{n}$

So:

$A = A' * \frac{1}{n}$

Substitute n(x,y) for A';

$A = n(x,y) * \frac{1}{n}$

$A = \frac{n(x,y)}{n}$

$A = (x,y)$

Take for instance:

$A = (2,3)$

$n = 2$ -- scale factor

$A' = n * A$

$A' = 2 * (2,3)$

$A' = (4,6)$

To get A from A', using the analysis above

$A = \frac{1}{2} * (4,6)$

$A = (2,3)$

6 0

3 years ago