help please! Find the area of parallelogram MLKJ. You will need to use soh cah toa eventually to find the area. Round final answ
ers to one decimal place. Show your work please.
1 answer:
Answer:
133.5
Step-by-step explanation:
Area of paralleogram is base x height. The base is 15 as given. We need to find the height.
Using triangle MNJ we can find it.
We need to find side MN but we are given an angle adjacent to that side 90. We also given another angle and a side adjacent to that angle 52 and 7 respectively.
We can use law of sines to find MN
sin of 90 =1 so multiply 1 by both sides
simplify that and we get mn=8.9.
So know we can multiply 8.9 by 1t to find the area.
15×8.9=
133.5
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Answer:
<em>The required points of the given line segment are ( - 1, - 5 ).</em>
Step-by-step explanation:
Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -
As we know that-
If a line segment AB is with endpoints ( ) and (
)then the mid points M are-
<em>M = ( ,
)</em>
Here,
<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>
then by the midpoint formula M are-
<em>( 3, - 2 ) = ( ,
)</em>
On comparing x coordinate and y coordinate -
We get,
<em>( = 3 ,
= - 2)</em>
<em>( 7 + x = 6, - 9 + y = - 4 )</em>
<em>( x = 6 - 7, y = - 4 + 9 )</em>
<em>( x = - 1, y = -5 )</em>
<em>Hence the required points A are ( - 1, - 5 ).</em>
<em>We can also verify by putting these points into Midpoint formula.</em>
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