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Tanya [424]
3 years ago
6

Can someone help, please?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0
You have to first mess around with the first shape, ABCD, and split that into a rectangle and a right triangle. once you do that, it's pretty painstaking, but simple.

if you look at it you can tell that EFGH is just half the size, but the same ratios and everything.

So, you would just take every perimeter measurement from ABCD, and divide it by two and then sum them together.

2.5 + 1.5 + 4.0 + 2.0 = 10
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A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance trav
natima [27]
First we rewrite the table:
 20    30
 50    75
 80    120
 150   ?
 We observe that for each 30 number of hops, the distance increases by 45 feet.
 We must find the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = (75-30) / (50-20)
 m = 1.5
 Then, the line is:
 y = 1.5x
 We substitute x = 150
 y = 1.5 * (150)
 y = 225
 Answer:
 
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
3 0
3 years ago
Read 2 more answers
For what value of c is the function defined below continuous on (-\infty,\infty)?
kozerog [31]
f(x)= \left \{ {{x^2-c^2,x \ \textless \  4} \atop {cx+20},x \geq 4} \right


It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if 
</span><span>\lim_{x \rightarrow 4} \  f(x) = f(4)

</span><span>In notation we write respectively
</span>\lim_{x \rightarrow 4-} f(x) \ \ \ \text{ and } \ \ \ \lim_{x \rightarrow 4+} f(x)

Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence 
\lim_{x \rightarrow 4-} f(x) = \lim_{x \rightarrow 4-} (x^2 - c^2) = 16 - c^2

Thus these two limits, the one from above and below are equal if and only if
 4c + 20 = 16 - c²<span> 
 Or in other words, the limit as x --> 4 of f(x) exists if and only if
 4c + 20 = 16 - c</span>²

c^2+4c+4=0&#10;\\(c+2)^2=0&#10;\\c=-2

That is to say, if c = -2, f(x) is continuous at x = 4. 

Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers (-\infty, +\infty)

4 0
3 years ago
A figure is chosen from inside the blue region. Which statement about that figure is true?
lana [24]

Answer:

all 4 angles are congruent

Step-by-step explanation:

2 pairs of parallel sides.

4 right angles (90°).

Opposite sides are parallel and congruent.

All angles are congruent

6 0
3 years ago
Solve the following inequality:
stealth61 [152]
<span>8 ≥ 16y

Divide both sides by 16.

0.5 </span>≥ y, or y ≤ 0.5.

The answer is A) y ≤ 0.5.
3 0
3 years ago
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Someone please help :) ​
Darina [25.2K]

::::::::::::::::((((((((((((((

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