Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
Here's the solution ~
As we know, we can calculate the circumference of a circle in terms of its diameter as :
where, c = circumference and d = diameter
And also, circumference of circle is terms of radius (r) is :
Now, let's move on to questions ~
<h3>First </h3>
<h3 />
・ ．━━━━━━━†━━━━━━━━━．・
<h3>Second</h3><h3 /><h3 /><h3 /><h3>
</h3>
・ ．━━━━━━━†━━━━━━━━━．・
<h3>Third</h3>
・ ．━━━━━━━†━━━━━━━━━．・
<h3>Fourth</h3>
・ ．━━━━━━━†━━━━━━━━━．・
<h3>Fifth </h3>
・ ．━━━━━━━†━━━━━━━━━．・
<h3>Sixth</h3>
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Answer:
i think the answer is 67.5
The value of y in the triangle is 2√5
The triangle above is a right angle triangle.
Characteristics of a right angle triangle:
- One of its angle is equals to 90 degrees
- The sides can be found using Pythagoras theorem.
Using Pythagoras theorem
where
c = hypotenuse(longest side)
a and b are the 2 other legs.
Therefore,
6² = 4² + y²
36 = 16 + y²
y² = 36 - 16
y² = 20
y = √20
y = 2√5
learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults
