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3 years ago

What is the missing reason in steps 7 and 8 of the proof?

Mathematics

2 answers:

PolarNik [594]3 years ago

8 0

Answer:

Step-by-step explanation:

The answer is option B) def of sine in right triangle

il63 [147K]3 years ago

4 0

Answer:Refer to the image attached.

Given: and are congruent.

To Prove: ABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle BAD and BCD,

(given)

(By the definition of a perpendicular bisector)

Therefore, by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

Step-by-step explanation:

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The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l

tatyana61 [14]

Answer:

resistance is 1.5 ohms (1.5 Ω)

Step-by-step explanation:

R varies directly with l

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We can set-up a proportionality statement as shown below:

$R=k\frac{l}{d^2}$

Now, Given,

R = 1.50

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We substitute and find k (the proportionality constant):

$R=k\frac{l}{d^2}\\1.5=k\frac{2}{1.5^2}\\1.5=\frac{2k}{2.25}\\2k=1.5*2.25\\2k=3.375\\k=1.6875$

Now, we will use this value of k to solve the problem.

Given,

l = 8

d = 3

and

k = 1.6875

We find R:

$R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5$

The resistance is 1.5 ohms (1.5 Ω)

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