Explain why ∠4 is equal to the sum of the measures of the two nonadjacent interior angles (Angle 1 and Angle 2).

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

Angle 4 is 77 degrees. Since angles 1, 2, and 3 must add up to 180 degrees, and angles 3 and 4 must also add up to 180 degrees, angles 1 + 2 must be equal to angle 4

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Based on the tree diagram below, what is the probability that a student doesn't have lice, given that the student tested negativ

oee [108]

Answer:

Option D (APEX)

Step-by-step explanation:

L= Student has lice

NL= Student has no lice

PT=Test Shows positive

NT=Test Shows negative

P( $\frac{NT}{NL}$ ) =0.7708 (Probability that a student has no lice and the test shows negative)

P( $\frac{NT}{L}$ ) = 0.0108 ( Probability that a student has lice and the test shows negative)

$P\frac{NT}{NL}$ = $\frac{P\frac{NT}{NL} }{P\frac{NT}{NL} +P\frac{NT}{L} }$
$\frac{0.7708}{0.7708+00108}$
$\frac{0.7708}{0.7816}$
0.98618219 (Simplify)

<u> Terms Of Percentages</u>

0.98618219 × 100

=98.6

Therefore your answer is 98.6% (Option D)

APEX

3 0

3 years ago

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Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

notka56 [123]

We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.

$\frac{SA}{V} = \frac{2*L*W + 2*L*H + 2*W*H}{L*W*H}$

Another way to do this is to consider a cube which might give you a more useful result.

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

$\frac{SA_cube}{V_cube} = \frac{6s*s}{s*s*s}$
$\frac{SA}{V} = \frac{6}{s}$

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.

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3 years ago

Which statement is true in this equation?

alexandr402 [8]

Answer:

B) Stan made a mistake in step one.

Step-by-step explanation:

B) Stan made a mistake in step one.

When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.

8 0

4 years ago

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