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4 years ago

Two polygons are similar if and only if there is a __________ that maps a preimage to its image.

Mathematics

1 answer:

barxatty [35]4 years ago

5 0

Answer: proportion

Two polygons are similar if and only if there is a proportion that maps a preimage to its image.

Step-by-step explanation: Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional. If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.

$\textit{\textbf{Spymore}}$

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Your answer<br> What is the greatest common factor of 12 and 24?<br> Your answer<br> 6

anastassius [24]

Answer:

yes it is 6

Step-by-step explanation:

Both are even numbers and caan be divided by 6 win 24 is divided by two I equals 12.

8 0

3 years ago

Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and

grin007 [14]

Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.

4 0

3 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

3) WILL MARK BRAINLIEST + 10 POINTS!!!!!! :)

Charra [1.4K]

This is really a long way to go to make something complicated
out of something simple. The last choice does the job.

cos(180) = -1
sin(180) = 0

So 4 [cos(180) + i sin(180) ]

= 4 [ -1 + i (0) ]

= -4 yay!

5 0

3 years ago

A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model

stellarik [79]

Answer:

1. t = 0.995 s

2. h = 15.92 ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s as the statement says

Vf = 0 because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s² it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92 ft

4 0

3 years ago