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2 years ago

What equation can be used to solve for angle C?

Mathematics

1 answer:

matrenka [14]2 years ago

6 0

The formula for calculating the total interior angle in a regular polygon is given as:

total interior angle = (n -2) 180

where n is the number of sides and since there are sides:

total interior angle = 360°

To get this angle, we know that it is the summation of all angles:

360° = angle A + angle C + angle B + angle D ---> 1

Looking closely, we can see that segments BC and AD are parallel which means that:

angle A + angle C = angle B + angle D ---> 2

Substituting equation 2 to 1:

360 = 2 (angle A + angle C)

angle A + angle C = 180

(x + 16) + (6x – 4) = 180

Answer:

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A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 74, wi

Alinara [238K]

Answer:

Step-by-step explanation:

Given that a teacher gives a test to a large group of students. The results are closely approximated by a normal curve

mu =74 and sigma =8

A grade starts from 100-8 = 92nd percentile

Z score for 92nd percentile = 1.405

X score = 74+8(1.405) = 85.24

--------------------

B cut off is to next 16%

Hence C would start for scores below 100-(8+16) = 76%

76th percentile = 0.705*8+74 =79.64

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2 years ago

An hourglass composed of two identical cones is 18 cm tall.the radius of each cone is 4cm if you want to fill the bottom half of

Kitty [74]

Check the picture below.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 4\\ h = 9 \end{cases}\implies V=\cfrac{\pi (4)^2(9)}{3}\implies V=48\pi \\\\\\ \stackrel{\textit{and 75\% of that will just be }\frac{3}{4}\textit{ of it}}{48\pi \cdot \cfrac{3}{4}\implies 36\pi \quad \approx \quad 113.097}$

5 0

2 years ago

1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown bel

KiRa [710]

Answer:

a). AB = 8 in

b). AB = 9.75 in

c). AC = 6.5 in

d). BC = 1.5 in

Step-by-step explanation:

a). Since, AB = AC + CB

Length of AC = 5 in. and CB = 3 in.

Therefore, AB = 5 + 3 = 8 in.

b). Given : AC = 6.25 in and CB = 3.5 in

Therefore, AB = AC + CB = 6.25 + 3.5

AB = 9.75 in.

c). Given: AB = 10.2 in. and BC = 3.7 in.

AB = AC + BC

AC = AB - BC

AC = 10.2 - 3.7

AC = 6.5 in

d). Given: AB = 4.75 in and AC = 3.25 in.

BC = AB - AC

BC = 4.75 - 3.25 = 1.5 in.

4 0

1 year ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by

Eddi Din [679]

The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.

Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x

5 0

2 years ago

Read 2 more answers

When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.

Savatey [412]

<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

By properties of powers, if you have the same base, you can substract the exponents. Then:

=(</span>27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)
<span>
Therefore, the answer is: The exponent on the variable z is 5.</span>

7 0

2 years ago