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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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katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps f
lyudmila [28]

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5  <=====>  135 stamps

1.2  <=====>  x  stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5  <=====>  135 stamps

1  <=====>  x  stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

8 0
3 years ago
Darnell team scored 40 points at the game Donald score 15% of the teams points how many points the Darnell score
andriy [413]
Donald scores 6 points
3 0
3 years ago
2 (2f+2)= help me fast
8_murik_8 [283]

Distribute

2 × 2f + 2 × 2

Simplify 2 × 2f to 4f

4f + 2 × 2

Simplify 2 × 2 to 4

<u>4f + 4</u>

4 0
3 years ago
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6
SVETLANKA909090 [29]

Answer:

56.52 units²

explanation:

  • We should know circle's area: πr²
  • Then the semi circle shall have half area, so formula: (1/2)πr²

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

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2 years ago
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PLEASE HELP!
elena-14-01-66 [18.8K]
The answer is 15 because absolute deviation means a number of units a certain number is for 0. So, both 15 and -15 would have an absolute deviation of 15 because both numbers are 15 units away from 0. Hope I helped! Please rate me the Brainliest!
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3 years ago
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