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Anastasy [175]
3 years ago
7

Find three consecutive integers with the sum of 267

Mathematics
2 answers:
Murljashka [212]3 years ago
4 0

Answer:

The integers are 88, 89 and 90.

Step-by-step explanation:

The integers can be represented by x, x+1 and x+2.

x + x + 1 + x + 2 = 267

3x + 3 = 267

3x = 264

x = 88

Anvisha [2.4K]3 years ago
4 0

Answer:

88,89,90

Step-by-step explanation:

Consecutive means in a row

x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

Add them together and they equal 267

x+x+1+x+2 = 267

Combine like terms

3x+3 = 267

Subtract 3 from each side

3x+3-3 = 267-3

3x = 264

Divide each side by 3

3x/3 =264/3

x= 88

x+1 = 89

x+2=90

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Find the measures of the angle, its complement, and its suplement if three times the measure of a suplement of an angle is eight
Butoxors [25]

The angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

<h3>Supplementary and complementary angles</h3>

The sum of complementary angles s 90 degrees while that of supplementary angles is 180 degrees.

Let the complement of an angle be 90 -x and its supplement be 180 -x

If three times the measure of a supplement of an angle is eight times the measure of a complement of the angle, then;

3(180-x) = 8(90-x)

Expand

540-3x = 730 - 8x

540-720 = -8x + 3x

180 = 5x

x = 180/5

x = 36 degrees

Complement  = 90 - 36 = 54degrees

Supplement = 180 - 36 = 144 degrees

Hence the angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

Learn more on complement and supplement here; brainly.com/question/13517672

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2 years ago
Find the value of x in the triangle
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Answer:

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Step-by-step explanation:

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180-117=63

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4 0
3 years ago
Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular bas
sweet [91]

Answer:

  • No

Step-by-step explanation:

<u>Use triangle inequality theorem, which states</u>

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<u>The sum of two sides compared to the remaining side:</u>

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The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

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3 years ago
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Quadrilateral ABCD is a parallelogram. DE = 6.1 cm and m∠DAB = 120°. What is BC? cm What is m∠BCD? ° What is AB? cm What is EB?
Ainat [17]
We know that

There are six important properties of parallelograms to know:

<span>1) Opposite sides are congruent (AB = DC and AD=BC).
2) Opposite angles are congruent (D = B and A=C)
3) Consecutive angles are supplementary (A + D = 180° and D+C= 180</span>°<span>).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.

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the answer Part 1) is 
BC=10 cm

Part 2) <span>What is m∠BCD?
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the answer part 2) is 
m∠BCD=120°

part 3) <span>What is AB? 
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the answer Part 3) is
AB=5 cm

Part 4) <span>What is EB?
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the answer Part 4) is
EB=6.1 cm
6 0
3 years ago
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