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4 years ago

A triangle has an area of 60 square units. Its height is 12 units. What is the length of its base?

1 answer:

6 0

Area=1/2 times base times height
area=60
height=12
60=1/2 times base times 12
divide both sides by 12
5=1/2 times base
multipy both side sby 2
10=base
10 units=base

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Given: circle k(O), m LM = 164°, m WK = 68°, m∠MLK = 65°. Find: m∠LMW

Musya8 [376]

Answer:

The measure of angle LMW is $m\angle LMW=67\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

$m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK]$

substitute the given values

$65\°=\frac{1}{2}[arc\ MW+68\°]$

$130\°=[arc\ MW+68\°]$

$arc\ MW=130\°-68\°=62\°$

step 2

Find the measure of arc LK

we know that

$arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°$ -----> by complete circle

substitute the given values

$164\°+62\°+68\°+arc\ LK=360\°$

$294\°+arc\ LK=360\°$

$arc\ LK=360\°-294\°=66\°$

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

$m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK]$

substitute the given values

$m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°$

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Read 2 more answers

How many points need to be removed from this graph so

astraxan [27]

Answer:

OPtion 3 points

Step-by-step explanation:

See the attached figure.

As shown, we can notice that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).

The figure will be a function if for each value of x there exist a unique value of y.

In the figure, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.

From (-3,2) and (-3,3), we need to remove one point.

From (1,4) and (1,-4), we need to remove one point.

From (2,-2) and (2,-4), we need to remove one point.

It means total we need to remove 3 points from this graph so that it will be a function.

So, the correct option is 3 points.

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