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Elodia [21]
3 years ago
15

-1/2 + 2/3= Give simplified answer

Mathematics
1 answer:
babunello [35]3 years ago
6 0
You need a common denominator of 6 because it's the least common denominator of 2 and 3. So you can change -1/2 to -3/6. And change 2/3 to 4/6. The new equation would be -3/6 + 4/6 = 1/6.
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I'd greatly appreciate the help-
dem82 [27]

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

7 0
3 years ago
In this ordered pair (4, -5), which number is the ordinate?
Tasya [4]
I think it's 10. Hope it helps. Like I am saying I am not 100% sure it is but I still hope it helps

8 0
3 years ago
name the lengths of the sides of three rectangles with a perimeter of 12 units use only whole numbers
AysviL [449]
The perimeter of a rectangle is 2(w+l)
We can find the lengths by setting the equation equal to 12.
12=2(w+l)
12÷2=(2(w+l))÷2
6=w+l
6=1+5
6=2+4
6=3+3
These are the lengths of the sides of three rectangles with a perimeter of 12 units.
You're probably wondering why the third one has two of the same number, because that's usually how the lengths of sides of squares are, not rectangles.
Well, there's this wonderful thing about the rules of shapes.
<em>Squares ARE rectangles.
</em>Because they follow the rules for a rectangle, squares are also classified as rectangles.
So, the rectangle side lengths are as follows:
1 unit by 5 units
2 units by 4 units
3 units by 3 units
<em />
8 0
4 years ago
Solve the following system of linear equations using the elimination method. 3m-n=-10
telo118 [61]

Answer:

m = -3, n = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

3m - n = -10

2m + n = -5

<u>Step 2: Solve for </u><em><u>m</u></em>

<em>Elimination</em>

  1. Combine equations:                    5m = -15
  2. Divide 5 on both sides:               m = -3

<u>Step 3: Solve for </u><em><u>n</u></em>

  1. Define equation:                    3m - n = -10
  2. Substitute in <em>m</em>:                      3(-3) - n = -10
  3. Multiply:                                  -9 - n = -10
  4. Add 9 to both sides:              -n = -1
  5. Divide -1 on both sides:         n = 1
4 0
4 years ago
Read 2 more answers
-2x – 4 + 5x = 8 steps to solve
V125BC [204]

Answer:

x = 4

Step-by-step explanation:

- 2x - 4 + 5x = 8

Step 1: Collect like terms and simplify

- 2x + 5x = 8 + 4 \\ 3x = 12

Step 2: Divide both sides of the equation by 3

\frac{3x}{3}  =  \frac{12}{3}

Simplify

x = 4

7 0
3 years ago
Read 2 more answers
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