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Fiesta28 [93]
2 years ago
6

Which of these is true and why

Mathematics
1 answer:
LuckyWell [14K]2 years ago
7 0

Answer:

Step-by-step explanation:

True statements

All equallateral triangles are similar. Their sides are all in the same ratio when comparred.

All squares are similar. Same reason as equilateral triangles. All sides to both squares compared are the same.

False Statements

Isosceles triangles can and usually do have different base angles.

rectangles can have all sorts or side lengths. The only requirement is consecutive sides form right angles.

2 rhombuses can have side lengths that are in the same ratio, but the heights are not in the same ratio. That eleminates.

Answer

These are the only true ones: Statements 2 and 5 are true. The rest are not.

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Find the sum of each series, if it exists<br>91 + 85 + 79 + … + (­29)
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Answer:

651.

Step-by-step explanation:

Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.

Consider the given series is

91+85+79+...+(-29)

It is the sum of an AP. Here,

First term = 91

Common difference = 85 - 91 = -6

Last term = -29

nth term of an AP is

a_n=a+(n-1)d

where, a is first term and d is common difference.

-29=91+(n-1)(-6)

-29-91=(n-1)(-6)

\dfrac{-120}{-6}=(n-1)

20=(n-1)

n=20+1=21

Sum of AP is

Sum=\dfrac{n}{2}[\text{First term + Last term}]

Sum=\dfrac{21}{2}[91+(-29)]

Sum=\dfrac{21}{2}[62]

Sum=651

Therefore, the sum of given series is 651.

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Answer: A. 38.4

Step-by-step explanation:

Because...

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