Answer:
A. 31.4 in.
Step-by-step explanation:
Formula for the circumference:
C = dπ (d = 2r)
Therefore:
C = 10π
C = 10 · 3.14
C = 31.4 in.
0.4 then 1/2 then 60% is smallest to largest. Because if you make them all decimals then it would be 0.4 then 0.5 (1/2) then 0.6 (60%)
Answer:
Step-by-step explanation:
These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.
1. Angle construction:
Given an angle. construct an angle congruent to the given angle.
Given: Angle ABC
Construct: An angle congruent to angle ABC
Procedure:
1. Draw a ray. Label it ray RY.
2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.
3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.
4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.
5. Draw ray RQ.
Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.
You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.
Answer:
SteAnswer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
brainliest?
