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3 years ago

Find the area of the shaded polygons:

Mathematics

2 answers:

aleksandrvk [35]3 years ago

8 0

Answer:

$\large\boxed{Area=9}$

Step-by-step explanation:

$\text{Use Pick's theorem.}$

$\text{Pick’s Theorem then states that:}$

$Area= i + \frac{b}{2}-1$

$i\ \text{stands for the number of points in the interior of the shape,}\\b\ \text{stands for the number of points on the boundary of the shape.}$

$\text{We have}\\\\i=8\ \text{and}\ b=4.\\\\\text{Substitute:}\\\\Area=8+\dfrac{4}{2}-1=8+2-1=9$

garri49 [273]3 years ago

3 0

Answer:

Step-by-step explanation:

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Please Help! B belongs to AC D belongs to lineAF

Anvisha [2.4K]

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

5 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

lyudmila [28]

Answer:

5 hours

Step-by-step explanation:

A motorcycle will complete the 540 mile trip in 11.25 hours

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car:

60t + 48t = 540

108t = 540

If you Divide both sides by 108 we get t = 5

So, they will meet in 5 hours,

6 0

3 years ago

Can you turn those into equations so I can graph them?

yan [13]

these are the answers to all systems

4 0

3 years ago

What is 0+0 Thought since it seems like a dry land for points, today, I’d give some to ya’ll.

wel

Answer:

umm ... thx ig

Step-by-step explanation:

have a great day lol ♡♡

6 0

3 years ago

Read 2 more answers

How can we solve this?

Delvig [45]

Both angles will equal 180, as there is a line bisecting line AB to create the two angles.

Set up the following equation to have both angles equal 180:

$(x + 35) + (x - 23) = 180$

$x + 35 + x - 23 = 180$

Combine like terms:

$x + x = 2x$
$35 - 23 = 12$

$2x + 12 = 180$

Subtract 12 from both sides:

$2x = 168$

Divide both sides by 2:

$x = 84$

We now know the value of x, so plug it into the equation we set up:

$(84 + 35) + (84 - 23) = 180$

$119 + 61 = 180$

An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.

The obtuse angle is 119 degrees wide.

8 0

3 years ago