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borishaifa [10]
3 years ago
10

Read the sentence below and answer the following question: Roy was very careful to cleave the apple into even portions. What doe

s the word cleave mean in the context of this sentence? O Hack: to sever with blows O Chop: to deliver a cutting strike O Divide: to separate into parts O Part: to separate​
Mathematics
1 answer:
irga5000 [103]3 years ago
5 0
To separate into parts
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Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))

(3x-4)=\dfrac{1}{2}(271-(x+6))

(3x-4)=\dfrac{1}{2}(271-x-6)

Multiply both sides by 2.

6x-8=265-x

Isolate the variable x.

6x+x=265+8

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Divide both sides by 7.

x=\dfrac{273}{7}

x=39

Now,

\angle KLM=(3x-4)^\circ

\angle KLM=(3(39)-4)^\circ

\angle KLM=(117-4)^\circ

\angle KLM=113^\circ

Therefore, the measure of angle KLM is 113 degrees.

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If EH = 76, calculate DI.
Montano1993 [528]

Answer:

DI = 38

Step-by-step explanation:

Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is

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2DI = 76 ( divide both sides by 2 )

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