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2 years ago

Combining like terms

1 answer:

4 0

Combine like terms to simplify an expression. For example, all terms with the variable x can be combined into one term. All constants can also be combined.

1) -4x - 10x = -14x

2) -r - 10r = -11r

3) -2x + 11 +6x = 4x + 11

4) 11r - 12r = -r

5) -v + 12v = 11v

6) -8x - 11x = -19x

7) 4p + 2p = 6p

8) 5n + 11n = 16n

9) n + 4 - 9 - 5n = -4n - 5

10) 12r + 5 + 3r - 5 = 15r (the 5 and -5 cancel each other out)

11) -5 + 9n + 6 = 9n + 1

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Given congruent triangles name the corresponding sides and corresponding angles

Alborosie

Answer:

See explanation

Step-by-step explanation:

Given $\triangle ABC\cong \triangle ADC$

According to the order of the vertices,

side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);

side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);

side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);

angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);

angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);

angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);

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3 years ago

Can someone help me with this it is for mathh.

lapo4ka [179]

Answer: it would be P=4n

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2 years ago

brians kite is flying above a field at the end of 65 m string. if the angle of elevation to the kite is 70°. how high is the kit

Svetradugi [14.3K]

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3 years ago

Find the value of x.

Shalnov [3]

Answer:

-11

Step-by-step explanation:

I think you do 5x-24=8x+9

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2 years ago

A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca

yawa3891 [41]

<h3>Answer:</h3>

8 pieces
3/8 foot

<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0

2 years ago