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Anni [7]
3 years ago
7

If a triangle has at least two congruent sides, it is an isosceles triangle. An equilateral triangle has three congruent sides.

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

B. An equilateral triangle is an isosceles triangle.

Step-by-step explanation:

We are given that if a triangle has atleast  two congruent sides , it is an isosceles triangle.

An isosceles triangle is that triangle in which two sides are congruent and two angles made by two congruent sides are congruent.

Now , we are given that an equilateral  triangle has three congruent sides .

We know that if a triangle is an equilateral triangle then it will have three congruent sides and three congruent angles.

If a triangle is an equilateral triangle then it will also an isosceles triangle because it is satisfied the property of an isosceles triangle.It means it will have two congruent sides and two congruent angles made by two congruent sides .Therefore, an equilateral triangle is an isosceles triangle.Hence, option B is true.

But

A. An isosceles triangle is an equilateral triangle . it is false because isosceles triangle have two congruent sides not three congruent sides therefore it can not be equilateral triangle. Hence, option A is false.

C. An isosceles triangle has three congruent sides.It is false statement because we know that  isosceles triangle have  only two congruent sides not three congruent sides. Therefore, option C is false.

D.An equilateral triangle has two congruent sides . It is false because we know that an equilateral triangle has three congruent sides not two.Therefore, option D is false.

Bingel [31]3 years ago
3 0
B. An equilateral is an isosceles triangle
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Read 2 more answers
A virus that initially infected four people is spreading at a rate of 15% each week.
Solnce55 [7]

Answer:

"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"

Step-by-step explanation:

<u>Complete Question:</u>

A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily

f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily

f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily

f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily

<u>Solution:</u>

The weekly number of people infected would be:

f(x)=4(1.15)^x

7 days in a week, so daily number of people infected would be:

f(x)=4(1+r)^{7x}

To find daily rate, we set these 2 equations equal and solve for r:

4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02

That is 0.02*100 = 2% daily

2nd answer choice is right.

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3 years ago
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