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3 years ago

Helpppppppppppppppppppoppppppoo

Mathematics

2 answers:

postnew [5]3 years ago

8 0

Answer:

Step-by-step explanation:

abc=80, abm= 100

acb= 40, acn= 140

angle a = 60

x=80, y=40

Ksju [112]3 years ago

5 0

Answer:

x = 80° y = 40°

Step-by-step explanation:

ABC = 80° ACB = 40°

ABC+ACB+A = 180° (sum of angles in a triangle = 180°)

80+40+A = 180°

A = 60° (sum of angles in a triangle = 180°)

X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )

y = 40° (alternate angles, angle y is alternate to angle ACB = 40°)

to cross-check : sum of angles on a straight line = 180°

x+ y + A = 180sum of angles on a straight line = 180°

80+40+60 = 180°

ABM = 100° = (sum of angles on a straight line = 180°)

80° + 100° = 180°

ACN = 140° (sum of angles on a straight line = 180°)

40° + 140° = 180°

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2 years ago

The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

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The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

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3 years ago

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Misha Larkins [42]

Answer

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To prove

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As given

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Than

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3 years ago

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