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3 years ago

Which statements are true about tessellations?

1 answer:

6 0

The correct answer is 1,3& 4.

A figure can tessellate only if its interior angle is a factor of 360. For an equilateral triangle, each interior angle is 60°; 360÷60 = 6, so this works.

For a regular hexagon, each interior angle is (6-2)(180)/6=4(180)/6=720/6=120; 360÷120=3, so this works.

For a regular pentagon, each interior angle is (5-2)(180)/5=3(180)/5=540/5=108; 360÷108=3.3. This does not divide evenly, so it does not work.

For a square, each interior angle is 90°; 360÷90=4, so this works.

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Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.

swat32

Answer:

We conclude that:

The number of people who ordered the chicken dinner = 1

The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

Some order the chicken dinner for $14

some order the steak dinner for $17.

Total bill = $99

Let 'n' be the number of people who ordered the chicken dinner.

Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

$14n + 17(6-n) = 99$

$14n + 102 - 17n = 99$

$-3n = 99 - 102$

$-3n = -3$

Divide both sides by -3

$n = 1$

and

$6-n = 6-1 = 5$

Therefore, we conclude that:

The number of people who ordered the chicken dinner = 1

The number of people who ordered the steak dinner = 5

7 0

3 years ago

Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

Fofino [41]

Answer:

$LS = 63$

Step-by-step explanation:

Given

$LS = 14x - 21$

$LH = 15$

$HS = 8x$

Required

Determine the length of LS

Since H is between L and S, then

$LS = LH + HS$

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

$14x - 21 = 15 + 8x$

Collect Like Terms

$14x - 8x = 21 + 15$

$6x = 36$

Divide both sides by 6

$x = 6$

Substitute 6 for x in $LS = 14x - 21$

$LS = 14(6) - 21$

$LS = 84 - 21$

$LS = 63$

Hence, the length of LS is 63 units

7 0

3 years ago

Mya and ERIC WORK IN A BAKERY . MYA HAS 3 TIMEA AS MUCH FLOUR AS ERIC .MYA HAS 15.81LB OF FLOUR .USE THE EQUATION 3F = 15.81 TO

Pavel [41]

Answer:

5.27 lb

Step-by-step explanation:

Given that,

Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :

Let Eric has F floor.

3F = 15.81 ...(1)

We need to find how much flour Eric has.

Dividing both sides by 15.81.

F = 15.81/3

F = 5.27 lb

Hence, Eric has 5.27 lb of flour.

4 0

3 years ago

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

sertanlavr [38]

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

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

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

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

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

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

$180^o-105^o=75^o$

A rhombus: 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

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

$180^o-105^o=75^o$

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

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

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

4 0

3 years ago

To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77

kozerog [31]

Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide

We need to find the equivalent value in feet of the purchased bookshelf.

1 foot is equal to 12 inches

77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft

Or we can convert the feet into inches:

6 1/2 feet convert to improper fraction.

((6*2)+1)/2 = 13/2 feet

13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches

Compare the maximum width of 78 inches to the actual width of 77 inches.

The purchased bookshelf can fit between two windows.

6 0

3 years ago