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grandymaker [24]
3 years ago
12

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.

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

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

\frac{mn}{ \sin(90) }  =  \frac{7}{ \sin(52) }

sin of 90 =1 so multiply 1 by both sides

mn =  \frac{7}{ \sin(52) }  \times 1

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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How to solve this problem​
nevsk [136]

Let C be the center of the circle. The measure of arc VSU is 2+114x, so the measure of the minor arc VU is 360-(2+114x)=358-114x. The central angle VCU also has measure 358-114x.

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

m\angle VCU+2m\angle CUV=180

\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

(57x-89)+(31x+3)=90

\implies88x=176

\implies x=2

So finally,

m\widehat{VSU}=2+114\cdot2=230

degrees.

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2 years ago
-12p^2 - 27p +27 = 0
EleoNora [17]

Answer:

that's the right answer

Step-by-step explanation:

6 0
3 years ago
Please help <br> A. 63<br> B. 72<br> C. 81<br> D. 108
Tom [10]

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Step-by-step explanation:

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Have a nice day!

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Mariulka [41]

Answer:

\displaystyle y = 4x - 1

Step-by-step explanation:

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8

\displaystyle -1 = b \\ \\ y = 4x - 1

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I am joyous to assist you anytime.

8 0
3 years ago
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