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3 years ago

I Need Help with my Summer Packet!

Mathematics

2 answers:

yulyashka [42]3 years ago

6 0

Answer:

The angles on the top form 180 degrees, a line. So, 180 = 4x + 72 which gives you x = 27 Angle BFC is 66 degrees, angle CFD is 54 degrees, and angle BFA is 29 degrees. Therefore, C. 27 degrees is not a measure of an angle in the figure

Step-by-step explanation:

nikdorinn [45]3 years ago

3 0

Answer:

c) 27°

Step-by-step explanation:

Step 1: Find the value of x

All angles on a straight line are equal to 180 degrees.

Therefore,

60 + 2x + (2x+12) = 180

72 + 4x = 180

4x = 108

x = 27°

Step 2: Through the value of x, calculate all angles

2x = 27 (2) = 54°

2x + 12 = 2 (27) + 12 = 66°

x + 2 = 27 + 2 = 29°

27° is not a measure of an angle in the figure.

Therefore, option c is the correct answer.

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kiruha [24]

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Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed $a\leq x \leq b$ and in your case $\nexists x\in\mathbb{Z}: a\leq x\leq b$ for $a>b$

In fact, considering a set $S$ we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing$ that satisfy $S = S \cup \varnothing$

This means that, by definition $\sum_{x=a}^b \varnothing = 0$

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

we have other problems. Actually, this case is really bad.

Note that $\cos^2(\infty)$ has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$ , the cosine function oscillates between $[-1, 1]$ , and therefore it is undefined. Thus, we cannot evaluate

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0

3 years ago

I Need Help with my Summer Packet! ​

I Need Help with my Summer Packet!