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Thepotemich [5.8K]
3 years ago
10

In any right triangle , what must be true about the sum of the measures of the two acute angles?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0
A right angle is 90 degree, and all the three angles make a sum of 180, so the two acute angles will always add up to be 90
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Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
Write each situation as a ratio in simplest form. 10 apples and 6 bananas to 3 oranges and 5 grapes.
mojhsa [17]
You only gave 1 situation
5 0
3 years ago
Solve for x . Leave your answer in the simplest form
Alisiya [41]

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

c^2=85

c=\sqrt{85}

Which is in simplest radical form.

Hope this helps!

3 0
3 years ago
25 points Help now<br> DUE TODAY
Angelina_Jolie [31]
“Just follow your heart to find the answer” -someone
3 0
3 years ago
Read 2 more answers
Yesterdays summer read 75 pages of her book if she reads at a pace of two pages per minute today which table shows only viable s
rjkz [21]

Answer:

D

Step-by-step explanation:

Nobody read backwards for 16 minutes

4 0
3 years ago
Read 2 more answers
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