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iren [92.7K]
3 years ago
9

X + 2

Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where a, b are the measures of the parallel sides and h the perpendicular distance between them.

here h = x - 5, a = x + 6 and b = x + 2, thus

A = \frac{1}{2}(x - 5)(x + 6 + x + 2) = 36

Multiply both sides by 2 to clear the fraction

(x - 5)(2x + 8) = 72 ← expand left side

2x² - 2x - 40 = 72 ← divide through by 2

x² - x - 20 = 36 ( subtract 36 from both sides )

x² - x - 56 = 0 ← as required

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Two numbers have a distance of 6 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.
lara [203]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
Angle sum theory find Y
kompoz [17]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

  • Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

  • 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

  • Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

  • 90 + 65 + y = 180

Combine like terms

  • 155 + y = 180

Subtract 155 from both sides

  • y = 25

This means that the angle y is 25 degrees.

4 0
1 year ago
√70 is between which two numbers on the number line?
Leto [7]

Answer:

C) 8 and 9

Step-by-step explanation:

We know that 70 is between two perfect squares.

The square numbers 64 and 81 can help us solve this question.

64<70<81

We take square root to get:

\sqrt{64}  \:  <  \:  \sqrt{70}  <  \sqrt{81}

We simplify this to get:

8 \:  <  \:  \sqrt{70}  \:  <  \: 9

Therefore √70 is between 8 and 9.

The correct option is C.

6 0
3 years ago
Not sure how difficult this would be to solve
mr_godi [17]
F (x) = x^2 - 2x + 1
f (x) = (-2)^2 - 2(-2) + 1
= 4 + 4 + 1
= 9
f (x) = ( 0 )^2 - 2 (0) + 1
= 0 - 0 + 1
= 1
0 = x^2 - 2x + 1
x^2 = 2x - 1 = 1
f (2) = 2^2 - 2(2) + 1
= 4 - 4 + 1
= 1
f (3) = 3^2 - 2(3) + 1
= 9 - 6 + 1
= 3 + 1
= 4

3 0
2 years ago
What is 56/15 as a decimal rounded to the nearest tenth
stepladder [879]

Answer:

3.73

Step-by-step explanation:

56/15

3 11/15

3.73

4 0
2 years ago
Read 2 more answers
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