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Tasya [4]
3 years ago
6

Find x for each of these triangles please

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°  

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

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Answer:

The correct answers are the following:

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Step-by-step explanation:

A) <u>P=12n-275 </u> - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) <u>1,213=12n-275</u>  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

<u>n=124 </u> - This the number (n) of people that attended.

C) <u>P=12n-375 </u> - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

<u>P=1,113 </u> - This is your profit.

<u>1,113-1,213=-100 </u> - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

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Margarita [4]

Answer:

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Step-by-step explanation:

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