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ololo11 [35]
3 years ago
5

Answer this and get 50 points.​

Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

I drew more points as uploaded picture.

We have, arc BD + 210 + 90 = 360 deg

(sum of all arcs on circle)

=> arc BD = 360 - 210 - 90 = 60 deg

Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg

(property of angle on circle)

=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg

( A, B, C lie on same line => ABC = 180 deg)

Otherwise, we have:

angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg

We have: x + angle BDA + angle ABD = 180 deg

(sum of all angles in a triangle)

=> x = 180 - angle BDA - angle ABD

=> x = 180 -135 - 30

=> x = 15 deg

Hope this helps!

:)

amid [387]3 years ago
4 0

Answer:

15°

Step-by-step explanation:

Angle in arc opposite x

360 - 210 - 90 = 60

Angle on the circumference = ½(60) = 30

Considering the triangle formed with the 90° arc

Exterior angle = 90 - (180-90)/2 = 45

Exterior angle = sum of interior angles

45 = 30 + x

x = 15

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The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
18pts Solve for x. -3x + 6 = 2x - 24 <br> A) -30 <br> B) -6 <br> C) 6 <br> D) 30
Natasha2012 [34]

Answer: B

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8 0
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T is more than -4. Remember that -4 is not included.

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Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old
nataly862011 [7]

Answer:

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Age of Mark's dad =30 years

Age of Mark's sister =8 years

Step-by-step explanation:

Let age of Mark be x years.

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Age of her Mark's dad =3x

Mark's sister is 2 years younger than Mark

Age of Mark's sister =(x-2) years

The sum of their ages is 48.

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Age of Mark =x=10 years

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