Answer:
1. Because they are Vertically opposite
2. 2 lines that form a straight line and form 180 degrees when added are called a linear pair.
3. Because angle 1 and 2 is a linear pair and forms 180 degrees. The same goes for angles 2 and 3.
4. Because when they are a linear pair and together they form 180 degrees.
5. Angle 1 and 2, angles 2 and 3 are linear pairs. And linear pairs always form 180 degrees. So, they are both equal.
6. Because they are vertically opposite angles.
7. Because they are vertically opposite angles.
:) :) :) :) :) :) :)
Step-by-step explanation:
given,
measures of 3 angles of triangle,
angle 1 = 3x
angle 2 = 2x + 15°
angle 3 = 3x + 5 °
sum of the angles should be 180°
so,
angle 1 + 2 + 3 = 180°
after inserting the values we got,
3x + 2x + 15 + 3x + 5 = 180°
→ 8x + 20 = 180°
→ 8x = 180 - 20 = 160°
→ x = 160/8 = 2
→ x = 20
therefore,
angle
1 = 3x = 3 × 20 = 60
2 = 2x + 15 = 2(20) + 15 = 55°
3 = 3x + 5 = 3(20) + 5 = 65°
as given,
their sum should be 180° so,
60 + 55 + 65 = 180°
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Midpoint formula is (y2-y1/2 , x2-x1/2)
(1--7/2 , -2-4/2)
(8/2 , -6/2)
(4, -3)
Answer:
is the slope and 
is the y-intercept.
Step-by-step explanation:
The slope-intercept form of a line is given as:
Here, the coefficient of 
represents the slope of the line.
The coefficient of is and hence the slope.
y-intercept is the value of 
for which is is 0.
Now, if we put as 0 in the above equation, we get
Therefore, y-intercept is .
Hence, for the line with slope-intercept form , is the slope and is the y-intercept.
Answer:
The circumference is 45.2yd
Step-by-step explanation:
Given
--- diameter
Required
Determine the circumference
The circumference is calculated as:
So, we have:
Take pi a 3.14
Approximate
