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ella [17]
3 years ago
10

Which shapes can be drawn with two opposite angles equal to 105°

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

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A teacher is four time as old as a student .in 20 years, the student 's age will be half of the teacher 's age. How old are they
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What is list factors of 36​
oksian1 [2.3K]

Answer:

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Step-by-step explanation:

The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:

-1, -2, -3, -4, -6, -9, -12, -18, and -36.

How many Factors of 36?

When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.

Factor Pairs of 36

Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

9 × 4 = 36

12 × 3 = 36

18 × 2 = 36

36 × 1 = 36

Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:

-1 × -36 = 36

-2 × -18 = 36

-3 × -12 = 36

-4 × -9 = 36

-6 × -6 = 36

-9 × -4 = 36

-12 × -3 = 36

-18 × -2 = 36

-36 × -1 = 36

Factor Calculator

Do you need the factors for a particular number? You can submit a number below to find the factors for that number with detailed explanations like we did with Factors of 36 above.

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