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IrinaK [193]
2 years ago
7

A right triangle has…?

Mathematics
1 answer:
bearhunter [10]2 years ago
3 0
Answer: C and D

Explanation:

Is it A? No, because a right triangle does not have all three sides with equal length. Only in a equilateral triangle will have all three equal sides of equal length.

Is it B? No, because a triangle has ZERO parallel lines. Remember parallel lines are like this | | in a triangle the lines are like this /\

Is it C? Yes, because a triangle has two sides of equal length, meaning it has two congruent sides.

Is it D? Yes, a right triangle has two sides that create the 90 degrees making it a right triangle. Perpendicular means that theirs two lines creating the 90 degree and a triangle has two perpendicular sides.
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Write the first five terms of the the sequence defined by the explicit formula an=72(1/3)^n-1
lisabon 2012 [21]

a_n=72\left(\dfrac{1}{3}\right)^{n-1}\\\\\text{Put}\ n=1,\ n=2,\ n=3,\ n=4,\ n=5\ \text{to the equation}:\\\\n=1\to a_1=72\left(\dfrac{1}{3}\right)^{1-1}=72\left(\dfrac{1}{3}\right)^0=72(1)=72\\\\n=2\to a_2=72\left(\dfrac{1}{3}\right)^{2-1}=72\left(\dfrac{1}{3}\right)^1=72\left(\dfrac{1}{3}\right)=\dfrac{72}{3}=24\\\\n=3\to a_3=72\left(\dfrac{1}{3}\right)^{3-1}=72\left(\dfrac{1}{3}\right)^2=72\left(\dfrac{1}{9}\right)=\dfrac{72}{9}=8\\\\n=4\to a_4=72\left(\dfrac{1}{3}\right)^{4-1}=72\left(\dfrac{1}{3}\right)^3=72\left(\dfrac{1}{27}\right)=\dfrac{72}{27}=\dfrac{8}{3}\\\\n=5\to a_5=72\left(\dfrac{1}{3}\right)^{5-1}=72\left(\dfrac{1}{3}\right)^4=72\left(\dfrac{1}{81}\right)=\dfrac{72}{81}=\dfrac{8}{9}\\\\Answer:\ \boxed{72,\ 24,\ 8,\ \dfrac{8}{3},\ \dfrac{8}{9}}

8 0
3 years ago
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∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

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Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
340 over 8 as a unit rate
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3 years ago
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I would answer but I’m in 6th grade and I don’t know how to
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2 years ago
Two bonds are available on the market as follows:
erastova [34]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

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T represents duration of the investment in years

From the information given,

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Therefore,

250 = (750 × 5 × y)/100

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y = 250/37.5

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3 years ago
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