All categories

1 year ago

Which of these is true and why

Mathematics

1 answer:

LuckyWell [14K]1 year 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.

You might be interested in

The explicit rule for a sequence is an=5(−2)^n−1

Murrr4er [49]

Answer:

3) $a_n=-2a_{n-1}$ , $a_1=5$

Step-by-step explanation:

Given that the explicit rule for a sequence is $a_n=5(-2)^{n-1}$ .

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) $a_n=-2a_{n+1}$ , $a_1=5$

2) $a_n=-5a_{n+1}$ , $a_1=2$

3) $a_n=-2a_{n-1}$ , $a_1=5$

4) $a_n=-5a_{n-1}$ , $a_1=2$

Plug n=1 into given formula to get first term

$a_n=5(-2)^{n-1}$

$a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5$

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) $a_n=-2a_{n-1}$ , $a_1=5$

7 0

2 years ago

Which of the following best describes the graphs below?

Ede4ka [16]

Answer:

The 3rd statement best describes the graphs.

Step-by-step explanation:

The 3rd statement best describes the graphs because they must be similar. The two triangles cannot be congruent because Triangle A must be dilated to become Triangle B.

Multiplying by a scale factor of 1/2 would cause the shape to shrink, but multiplying by a scale factor of 2 would cause the shape to grow.

4 0

2 years ago

Round to nearest hundredth<br>0.099

Degger [83]

Answer: 0.10

Step-by-step explanation:

Find the number in the hundredth place

and look one place to the right for the rounding digit

. Round up if this number is greater than or equal to

and round down if it is less than

0.10

8 0

2 years ago

M=0.75d - 2 proportional or non proportional?

ArbitrLikvidat [17]

Answer:

Non proportional

Step-by-step explanation:

8 0

2 years ago

Im not sure how to do this 5×(−2w−4)

Mama L [17]

Answer:

-10w-20

Step-by-step explanation:

Distribute inside parenthesis,

5x 2w

5x-4

4 0

1 year ago

Read 2 more answers