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Juliette [100K]
3 years ago
13

In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.​

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME 

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

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2 years ago
Find parametric equations which describe each curve. No particular orientation is required.
MA_775_DIABLO [31]

Answer:

The equation of the line is (x(t),y(t))=(1-4t,2+6t) and the equation of the circle is F(t)= (3cos(t)+4,3sin(t)+1).

Step-by-step explanation:

(a) Given: The given points are (1,2) and (-3,8).

To find: The parametric equation of line containing points (1,2) and (-3,8).

We know that the parametric equation of line containing (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) is given by (x(t),y(t))=(x_{1}+(x_{2}-x_{1})t,y_{1}+(y_{2}-y_{1})t) where t∈[0,1].

Now, x(t)=1+(-3-1)t

i.e, x(t)=1-4t

And, y(t)=2+(8-2)t

i.e, y(t)=2+6t

Hence, the required parametric equation of the line is (x(t),y(t))=(1-4t,2+6t).

(b) Given: The radius of circle is 3 and centre is (4,1).

To find: The parametric equation of circle with radius 3 and centre (4,1).

We know that parametric equation of circle with radius r and centre (h,k) is given by F(t)= (x(t),y(t)) where x(t)=rcos(t)+h and y(t)=rsin(t)+k.

Now, x(t)=3cos(t)+4

y(t)=3sin(t)+1

So, the parametric equation of circle having radius 3 and centre (h,k) is F(t)= (3cos(t)+4,3sin(t)+1).

Hence, the required equation of the circle is F(t)= (3cos(t)+4,3sin(t)+1).

7 0
2 years ago
In right triangle abc /_B is right angle and m/_c=30 if Ac=10 what is AB
Ivanshal [37]

Answer:

plz mark brainliest..

Step-by-step explanation:

AC is the hypotenuse = 10

AB is side opposite to <C

<C = 30°, <B = 90°

by 30°-60°-90° theorem

side opposite to 30° is equal to half of hypotenuse

therefore,

AB = 1/2 × AC

AB = 1/2 × 10

AB = 5

therefore number 5 is answer

hope it will help you

7 0
3 years ago
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nika2105 [10]

Answer:

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Step-by-step explanation:

8 0
3 years ago
The diagram below represents changes that take place within the human body. The diagram
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Answer:

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