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sleet_krkn [62]
3 years ago
15

How do I do this Q11

Mathematics
1 answer:
SashulF [63]3 years ago
5 0
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.

All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.

Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
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Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

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4 years ago
A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 &lt
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<span> The triangle seems to be a scalene triangle because all three of its sides are different. </span>
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3 years ago
Susan’s weekly earnings were proportional to the number of hours she worked. This table shows
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The answer is $19.00
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Solve the quadratic inequalities, by either graphing, or pure algebraic method:
BlackZzzverrR [31]

Answer:

less than/equal to -2

Or, greater than/equal to 2.5

Step-by-step explanation:

2x² - x - 10 ≥ 0

2x² - 5x + 4x - 10 ≥ 0

x(2x - 5) + 2(2x - 5) ≥ 0

(x + 2)(2x - 5) ≥ 0

Roots: -2, 5/2

x《 -2 or x》5/2

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19, 12, 3, 6, 18, 20, 4, 4, 8, 12, 16, 20, 10, 1, 7, 8 1. Find the range of the data ​
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Answer:

The highest observation =20

The lowest observation = 1

Range of the data = 20-1

= 19(ans)

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3 years ago
Read 2 more answers
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