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2 years ago

The Polar Express

Mathematics

1 answer:

Igoryamba2 years ago

4 0

Answer:

for 12-8: 33.33

for 8-4: 50

for 12-4: 66.67

Step-by-step explanation:

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The perimeter of a backyard basketball court with four sides is 90 feet. Two sides of the court are each 20 feet long. One side

Alex787 [66]

Given:

The perimeter of a backyard basketball court with four sides is 90 feet.

Two sides of the court are each 20 feet long.

One side of the court is 25 feet long.

To find:

The missing side length of the basketball court.

Solution:

Let x be the missing side length.

The three given sides of the basketball court are 20 feet, 20 feet, 25 feet.

We know that the perimeter is the sum of all sides.

$Perimeter=x+20+20+25$

$Perimeter=x+65$

The perimeter of a backyard basketball court with four sides is 90 feet.

$x+65=90$

$x=90-65$

$x=25$

Therefore, the missing side length is 25 feet and the correct option is B.

4 0

3 years ago

8. In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a proof to show that ABCD is a para

luda_lava [24]

The correct choices to fill the blanks are listed below:

AD
BC
AC
CBA
angle BAC
CD

<h3>How to prove that a quadrilateral is a parallelogram</h3>

In this question we should fill the blanks based all information related to Euclidean geometry, especially concepts related to angles, triangles, parallelism and quadrilaterals.

The complete paragraph is shown below:

Since AD is parallel to BC, alternate interior angles.

AD and BC are congruent.

AC is congruent to AC since segments are congruent to themselves.

Along with the given information that AD is congruent to BC, triangle ADC is congruent to triangle CBA by the Side-Angle-Side Triangle Congruence.

Since the triangles are congruent, all pairs of corresponding angles are congruent, so angle DCA is congruent to angle BAC.

Since those alternate interior angles are congruent. AB must be parallel to CD.

Since we define a parallelogram as a quadrilateral with both pairs of opposite sides parallel, ABCD is a parallelogram.

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

8 0

2 years ago

An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?

postnew [5]

$23, a $20 bill plus $3 tip

4 0

2 years ago

Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)

hodyreva [135]

Answer:

$8 {a}^{3} + {36a}^{2} + 54a + 27 \\$

Explanation:

Binomial theorem,

${(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3}$

4 0

2 years ago

The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int

koban [17]

Answer:

4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

We have:

(2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
4(2x + 1)² = 4x² + 4(x + 1)² + 48
(2x + 1)² = x² + (x + 1)² + 12
4x² + 4x + 1 = x² + x² + 2x + 1 + 12
2x² + 2x - 12 = 0
x² + x - 6 = 0
(x - 2)(x + 3) = 0
x = 2, x = -3

The numbers are:

4 and 6 or - 6 and - 4

3 0

2 years ago