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s2008m [1.1K]
1 year ago
13

Given: Circle M with inscribed Angle K J L and congruent radii JM and ML Prove: mAngle M J L = One-half (measure of arc K L) Cir

cle M is shown. Line segment J K is a diameter. Line segment J L is a secant. A line is drawn from point L to point M. What is the missing reason in step 8?

Mathematics
2 answers:
jekas [21]1 year ago
8 0

Answer:

a) reflexive property

Step-by-step explanation:

i took the test

Luda [366]1 year ago
3 0

Answer:

We need to demontrate

m \angle MJL = \frac{1}{2}arc(KL)

As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.

<h3>Therorem.</h3>

<em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>

<em />

Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.

Therefore, based on the inscribed angle arc theorem, we have

m \angle MJL = \frac{1}{2}arc(KL)

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qaws [65]
The correct answer is Choice A.

If you plot the points on a graph, you will see that there is a slope of -1 and the y-intercept is (0, 3).

This matches the equation of y = -x + 3 in Choice A.
4 0
2 years ago
15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t
Norma-Jean [14]

Answer:

I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).

Step-by-step explanation:

Starting equation: f(x)=15,000(9/8)^x

You can clean up the 9/8 to be 1.125

Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707

Next multiply 1.8020324707 by 15,000 and you get 27030.4870605

Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.

0 0
2 years ago
A 22.5 ounce candle burns at the rate of one ounce every 5 hours. write an equation for the amount of candle left
maks197457 [2]

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

Given;

total number of candle, n = 22.5 ounce

Rate of candle burn, R = 1 ounce per 5 hours  = \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}

The amount of candle left = total initial value - amount burnt

let the amount let = y

y = 22.5 - 0.2t

where;

t is the time in which the candle is burnt

Thus, the equation for the amount of candle left is given by;

y = 22.5 - 0.2t

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1 year ago
What is the final amount if 865 is decreased by 16% followed by a 14% increase?
Harman [31]

Answer:

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Step-by-step explanation:

865 x (1 - 0.16) x (1 + 0.14) = 828.32

6 0
2 years ago
If ABCD is a parallelogram, which of the following statements must be true?
hoa [83]

Answer: d. AB = CD and BC = AD


Step-by-step explanation:

We know that parallelogram is a quadrilateral with properties listed below:-

  1. The opposite sides are congruent ( AB = CD and BC = AD ).
  2. The opposite angels are congruent (∠A=∠C and ∠D=∠B).
  3. The consecutive angles are supplementary (∠A + ∠D = 180°).
  4. The diagonals of a parallelogram bisect each other.
  5. If one angle is right, then all angles are right.

8 0
2 years ago
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