The measurement of angles are :
- Angle 1 is 123°
- Angle 2 is 57°
- Angle 4 is 123°
- Angle 5 is 123°
- Angle 6 is 57°
- Angle 7 is 57°
- Angle 8 is 123°
Given,
The figure with parallel lines.
Angle 3 is given as 57°
We have to find the other angles.
∠1 + ∠3 = 180° ; Sum of transversal angles is 180°
So,
∠1 = 180 - 57 = 123°
∠2 = ∠3 ; Vertical angles are ≅
So, ∠2 = 57°
∠1 = ∠4 ; Vertical angles are ≅
So, ∠4 = 123°
∠1 = ∠5 ; Corresponding angles are ≅
So, ∠5 = 123°
∠2 = ∠6 ; Corresponding angles are ≅
So, ∠6 = 57°
∠6 = ∠7 ; Vertical angles are ≅
So, ∠7 = 57°
∠5 = ∠8 ; Vertical angles are ≅
So, ∠8 = 123°
Learn more about angles here;
brainly.com/question/21867627
#SPJ1
44 x .88 = 38.72
38.72 / 100 = .3872
7049 needs to be rounded to the nearest thousand = 7000
1859 needs to be rounded to the nearest hundred = 1900
7000+1900= 8900
Answer:
given the circumference is 30t.
Step-by-step explanation:
The circumference of a circle is
and the area of a circle is
assuming the radius is
for the circle in question.
We are given the circumference of our circle is
.
If we solve this for r we get:
. To get this I just divided both sides by
since this was the thing being multiplied to
.
So now the area is
.
Simplifying this:
.
30/2=15 so:
.
Squaring the numerator and the denominator:

Using law of exponents or seeing that a factor of
cancels:



T(d)= 2(d-1) + 30
T(6)= 2(6-1) + 30
= 40 mins