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3 years ago

What is the measure of angle x? Enter your answer in the box x =

Mathematics

2 answers:

alekssr [168]3 years ago

7 0

<h3>Answer:<u><em> The answer is 48 degrees</em></u></h3>

Step-by-step explanation:

Elan Coil [88]3 years ago

3 0

X= 83. That is the anwser

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Help please ASAP thank you

jonny [76]

<u>Question 1</u>

If we let $FE=x$ , then $DE=x-5$ .

Also, as $\overline{DF}$ bisects $\overline{BC}$ , this means $BE=EC=6$ .

Thus, by the intersecting chords theorem,

$6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9$

However, as distance must be positive, we only consider the positive case, meaning FE=9

<u>Question 2</u>

If we let CE=x, then because AB bisects CD, CE=ED=x.

We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.

By the intersecting chords theorem,

$2(32)=x^2\\\\64=x^2\\\\x=-8, 8$

However, as distance must be positive, we only consider the positive case, meaning CE=8

4 0

2 years ago

A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

6 0

3 years ago

Every evening jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

gulaghasi [49]

26-28 I think although I'm not 100% sure

5 0

3 years ago

You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of: P(odd number)

Basile [38]

Answer: The correct answer is

Step-by-step explanation:

8 0

3 years ago

. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal p

tensa zangetsu [6.8K]

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is

x` Std. Dev

R. disagrees 4.16 0.854

P. disagrees 3.82 0.967

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

8 0

3 years ago