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adelina 88 [10]

2 years ago

11

Find the area of the hexagon

2 answers:

IrinaK [193]2 years ago

4 0

Answer:

The area is 78 square inches

Step-by-step explanation:

so you can split the hexagon into two trapezoids, and then find the area of one of those trapezoids, which is what I did. The area of a trapezoid I think is

a, b=base, h=height

A=a+b/2*h

is a really bad way of saying it, but that's how I know to do it.

So anyways I just substituted the numbers with their corresponding letters and solved. So the area of one trapezoid was 39, and since we have two 39's, you do 39*2 and you get 78.

Hope I helped

Burka [1]2 years ago

4 0

78 square inches I’m pretty sure

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steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>

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And since the sum of the interior angles of a triangle total 180°, we acquire:

$\angle PAB+\angle PBA+\angle PCB+\angle PBC=180$

Since they are all equivalent:

$4x=180$

Hence:

$x=45^\circ$

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

$\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ$

8 0

2 years ago

Read 2 more answers

What is the completely factored form of d4 − 81?

lilavasa [31]

For this case we must factor the following expression:

$d ^ 4-81$

Rewriting the expression:

$(d ^ 2) ^ 2-9 ^ 2$

We factor using the formula of the square difference:

$a ^ 2-b ^ 2 = (a + b) (a-b)$

Where:

$a = d ^ 2\\b = 9$

So:

$(d ^ 2 + 9) (d ^ 2-9)$

From the second term we have:

$d ^ 2-3 ^ 2 = (d-3) (d + 3)$

Finally, the factored expression is:

$(d ^ 2 + 9) (d-3) (d + 3)$

Answer:

$(d ^ 2 + 9) (d-3) (d + 3)$

4 0

3 years ago

Read 2 more answers

Simplify the square root of -121?

poizon [28]

Answer:

11<em>i</em>

Step-by-step explanation:

first you have to get a postive root.

$\sqrt{-121} \\ \sqrt{-1} \sqrt{121} \\$

then you solve the square roots from there, keeping in mind the imaginary number answer to the square root of -1, <em>i</em>.

$\sqrt{-1} = i\\ \sqrt{121} =11\\ 11i$

8 0

2 years ago

Read 2 more answers

Multiply and simplify: 3a(4a2 – 5a + 12)

DochEvi [55]

3a(4a²-5a+12)

12a³-15a²+36a

~Hope this helped!~

3 0

3 years ago

What is the complete factorization of x^2 - 6x + 9

Finger [1]

Answer:

$(x-3)^{2}$

Step-by-step explanation:

Factor using the perfect square rule.

:)

4 0

3 years ago