Please help I forgot how to do it :P
1 answer:
You might be interested in
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
- a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°
- b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
- c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,
Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
- d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
Answer:
Arc length is 12436.8m
Step-by-step explanation:
arc length = * πD
where M is the angle measure of the arc
and D is the diameter
considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees
* π * 7917.5 = 12436.8m
Use the point slope formula. then, substitute the values inside the formula.
x1 =3
y1= -2
m = 23
y -y1 = m ( x - x1)
y - (-2) = 23 (x - 3)
y + 2 = 23 ( x - 3)
x1 =3
y1= -2
m = 23
y -y1 = m ( x - x1)
y - (-2) = 23 (x - 3)
y + 2 = 23 ( x - 3)