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2 years ago

Which set of shapes contains members that are always similar to one another?

2 answers:

8 0

Ok, Let me start from the word Similar , the word which is usually used in mathematics for geometrical shapes mainly polygons.

Similar Polygons= Two or more Polygons are said to be similar if their corresponding sides are proportional and Corresponding interior angles are equal.

I will answer this question by starting from

1. Option A:→ Trapezoids= Why two trapezoids can't be similar because if we consider parallel sides of trapezoids their length can vary. Suppose One trapezoid has parallel sides of length 7 m and 13 m , and other trapezoid has parallel sides of length 6 m and 11 m.So, neither the corresponding sides are proportional nor interior angles are equal.

So, the Statement is Incorrect that All Trapezoids are always similar to one another.

2. →B.isosceles triangles=One isosceles triangle (4,4,5, 50°,50°,80°) and Other isosceles triangle being (3,3,7,55°,55°,70°).

So, the Statement is Incorrect that All Isosceles triangles are always similar to one another.

3. →→C.Equilateral triangles=All equilateral triangles will always be similar because their all interior angles will always be 60°, whatever the length of their sides.So, two equilateral triangles will always be similar because ratio of their corresponding sides will always be equal and their corresponding interior angles will always be 60°.

4. →→D.Rectangles= Consider two rectangles having Dimensions (70 × 40) and (60 × 30).

So, the Statement is Incorrect that All Rectangles are always similar to one another.

5.→→E. Pentagons :=Two Regular pentagons are always similar to each other, but not all.

So, the Statement is Incorrect that All Pentagons are always similar to one another.

Option C i.e Set of equilateral triangles, is true statement about the set of shapes which contains members that are always similar to one another.

Elden [556K]2 years ago

4 0

It should be C. Equilateral triangles

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2 years ago

The third term of an A.P is 4m - 2n. If the ninth term of the progression is 2m - 8n. Find the common difference in terms of m a

ipn [44]

Let $a_n$ denote the n-th term in the progression. So

$a_n=a_{n-1}+d$

for some constant difference between terms d.

Solve for $a_n$ explicitly:

$a_4=a_3+d$

$a_5=a_4+d=a_3+2d$

$a_6=a_5+d=a_3+3d$

and so on, up to

$a_n=a_3+(n-3)d$

We're told that the third term is $a_3=4m-2n$ , and the ninth term is $a_9=2m-8n$ , and according to the recursive rule above, we have

$a_9=a_3+6d$

Solve for d :

$2m-8n=(4m-2n)+6d$

$-2m-6n=6d$

$d=-\dfrac{2m+6n}6=\boxed{-\dfrac{m+3n}3}$

5 0

2 years ago

Jay is letting her bread dough rise. After three hours, her bread dough is \dfrac{11}{5} 5 11 start fraction, 11, divided by,

timama [110]

Answer:

Jay's bread size is 220% of the original size.

Step-by-step explanation:

The question is incomplete.

The complete question is as follows.

Jay is letting her bread rise. After 3 hours,her bread is at 11/5 of its original size. What percent of its original size is jays bread dough?

Solution:

Let the original bread size be = $100$ units

After 3 hours the bread rises = $\frac{11}{5}$ of the original size

New size of bread = $\frac{11}{5}\times 100=220$ units

Percent of original size the new bread is

⇒ $\frac{New\ bread\ size}{Original\ bread\ size}\times 100$

⇒ $\frac{220}{100}\times100$

⇒ $220\%$

6 0

2 years ago

What is square root of the product of the number z and itself

dsp73

Answer:

$\large\boxed{z}$

Step-by-step explanation:

What is square root of the product of the number z and itself?

Break down into smaller parts

What is the product of the number z and itself?

Product = multiply

Write an equation multiplying z by itself

z * z

Bring back the full question: What is the square root of the product of the number z and itself?

Now we can just add a $\sqrt{}$ to the front of our equation to solve the problem.

$\sqrt{z * z}$

Simplify

z * z = $z^{2}$

$\sqrt{z^{2} }$

In this case, the square root cancels out the exponent ( $z^{2}$ ), so $\sqrt{z^{2} }$ can simplify to z.

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8 0

2 years ago

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are

kenny6666 [7]

Answer:

0.194

Step-by-step explanation:

Probability that BOTH are democrats means probability of "one being democrat" AND "another also being democrat".

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

$0.44*0.44=0.1936$

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0

2 years ago