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3 years ago

(Help) Find the measure of the missing angle

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Solution:

Let the missing angle be x.

It should be noted:

The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)
∠DOA = ∠BOC = 44 (Vertically opposite angles)
Interior angles of a triangle sum up to 180°

This means that...

44 + x + x = 180

Combine like terms.

44 + 2x = 180

Subtract 44 both sides.

2x = 180 - 44

Simplify the RHS

2x = 136

Divide 2 both sides.

2x/2 = 136/2
=> x = 136/2 = 68°

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Match the formula with the polygon.

kherson [118]

Step-by-step explanation:

Lets sort out the areas of the polygons to match the areas with the corresponding polygons.

1. Triangle

The formula of the area of the triangle will be:

$A\:=\:\frac{1}{2} \:\:b\:h$

where b is the base and h is the height of the given triangle

2. rhombus

The formula of the area of the rhombus will be:

$A\:=\:\frac{pq}{2}$

where p and q being the diagonals

3. Parallelogram

The formula of the area of the parallelogram will be:

$A = bh$

where b is the base and h is the height

4. square

The formula of the area of the square will be:

$A\:=\:s^2$

where s being the length if any side, as all sides are equal in square

5. trapezoid

The formula of the area of the trapezoid will be:

$A\:=\:\frac{1}{2}\:h\left(b1\:+\:b2\right)$

where h is the height and $b1$ and $b2$ being the bases.

6. regular polygon

The formula of the area of the regular polygon will be:

$A\:=\:\frac{\left(ap\right)}{2}$

where a is the apothem and p is the perimeter.

7. equilateral triangle

The formula of the area of an equilateral will be:

$A\:=\:1/4\:s^2\:sqrt\left(3\right)$

where s is the length of one side of the triangle

Keywords: area, Triangle, square, parallelogram, rectangle, trapezoid, regular polygon, equilateral triangle

Learn more about area of different geometry shapes from brainly.com/question/12734324

#learnwithBrainly

3 0

3 years ago

What is the range of f(x) = x - 2, if the domain is {3, 1, 2)?

yuradex [85]

Answer:

Range: {1, -1, 0}

Step-by-step explanation:

Just subtract 2 from each number :)

4 0

3 years ago

You have 2,000 oranges and need to transport them to orangeland to Everett. the trip from orangeland to Everett is 1,000 miles.

alexandr402 [8]

You can't deliver ANY oranges to Everett. The tax for the trip is 1,000 oranges,
and that's also the size of the full load. You only carry enough to pay the tax
along the way, and you arrive at Everett with an empty truck. The only way
you can deliver ANY oranges to Everett would be with a bigger truck, that
can carry more. (But then the tax might also be more for a bigger truck.)

=============================

Well now, wait just a minute. Don't go away. I don't know if this
is the greatest possible number, but I know how you can get 500
oranges all the way there. I have to warn you that this method
does involve considerable risk:

-- Load up with 1,000 oranges.

-- Drive half-way to Everett. It costs you 500 oranges,
so you have 500 left on the truck. UNLOAD the truck
right there, by the side of the road, and cover the 500
oranges with grass and leaves so no animals or people
will know that they are there.

-- Return to Orangeland with your empty truck. That trip
costs you no tax.

-- Load your truck with the remaining 1,000 oranges.

-- Drive halfway to Everett again. It costs you 500 oranges
in road tax, so you arrive at the halfway point with 500 oranges
still on your truck.

-- Stop at the halfway point. Search relentlessly for the 500 oranges
that you left there earlier. Clean them off when you finally find them,
and load them back on your truck. Your truck is now fully loaded again
with 1,000 oranges.

-- Drive the rest of the way to Everett. That half of the trip costs another
500 oranges in tax, and you arrive in Everett with 500 oranges.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to – 2( –8v – 4)+6v?

Andrew [12]

Answer:

-2(-11v-4)

Step-by-step explanation:

8 0

3 years ago

I WILL GIVE BRAINLIEST!!!

GREYUIT [131]

Answer:

C. -4

I hope this helps!

7 0

3 years ago