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3 years ago

Which of these conditions might be true if polygons ABCD and KLMN are similar?

Mathematics

2 answers:

lyudmila [28]3 years ago

6 0

Answer:

Option A is right

Step-by-step explanation:

For any two geometrical figures to be similar we must have either the sides are in proportion or all angles are congruent.

If angles are not congruent then the two polygons cannot be similar. So option B which says angles are in the ratio 1:2 is incorrect.

If sides are equal, the two polygons need not be similar, example, a square and a rhombus. Hence option C is wrong

If sides are proportional and angles are not congruent then similarity cannot be there. Hence incorrect option d

Only correct answer is

Option a) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Nimfa-mama [501]3 years ago

4 0

I would say B.The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.

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Solve for c.<br><br> a(c−b)=d

tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

3 0

4 years ago

M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write

Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: $11M > 88$

The solution: $M > 8$

Step-by-step explanation:

Given

From the question, we have the following parameters:

$M + H + G > 22$

$H = \frac{1}{4}M$

$G = \frac{3}{2}M$

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

$M + H + G > 22$

$M + \frac{1}{4}M + \frac{3}{2}M > 22$

Multiply through by 4

$4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4$

$4M + M + 6M > 88$

$11M > 88$

Divide both sides by 11

$M > 8$

4 0

3 years ago

What is the surface area of a cube of ice that is 64,000 cubic inches as the volume?

Lostsunrise [7]

I’m so sorry but I don’t have a clue! But you’ll get it eventually

3 0

4 years ago

A basketball team played six games. In those games, the team won by 8 points, lost by 7 , won by 9 , won by 11 , lost by 3

BigorU [14]

Answer:

Step-by-step explanation:

From the question, we were told that a basket ball team six games and in those games, the team won by 8 points, lost by 7, won 9 , won 11 , lost by 3 and won by 6

The mean difference in games scored over the six games would be calculated as the addition of the scores divided by 6

= [8 + (-7) + 9 + 11 + (-3) + 6] / 6

= 24 / 6

= 4

8 0

3 years ago

a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of

Lana71 [14]

The initial height is 20 feet above the ground.

The function to model the velocity is

$v(s)=60s$

Where <em>s</em> represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>

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Using interval notation would be

$D\colon\lbrack0,20\rbrack$

4 0

1 year ago