Answer: C
<BFE is 148 degrees
Step-by-step explanation:
We have angles <BFC (57 degrees) and <CFD (34 degrees), but what is <DFE?
1. The angle symbol in the vertexes shows that <BFC is congruent to <DFE, meaning that they are the same
2. Knowing this, we can safely say that <DFE is equal to 57 degrees because <BFC is also 57 degrees.
3. Now, we have all the angles we need to find out <BFE.
4. <BFC+<CFD+<DFE=<BFE
5. Substitute to get
57+34+57=<BFE
91+57=<BFE
148=<BFE
6. Now we know that the answer is 148 degrees.
Answer:
y=−1/5x+2
Step-by-step explanation:
First, you must find the midpoint of the segment, the formula for which is
(x1+x22,y1+y22)
. This gives (−5,3)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y2−y1x2−x1
which gives us a slope of 5
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5 is −1/5
We now know that the perpendicular travels through the point (−5,3)
and has a slope of −1/5
Solve for the unknown b in y=mx+b
3=−1/5(−5)+b⇒3=1+b⇒2=b
Therefore, the equation of the perpendicular bisector is
y=−1/5x+2
Answer:
The question is asking you to subtract 516 from 1,000 to find <em>b</em>.
Therefore, <em>b</em> = 484
Answer: 80 1/4 is 5% of 1605
Step-by-step explanation:
5 percent of some number = 80.25
let x = some number
AB is a segment defines by the two points A and B.
Say the coordinates of the point A are (a1, a2) and the coordinates of point B are (b1,b2).
The midpoint is found using this.
x = (a1+b1)/2 and y = (a2+b2)/2
So, the coordinates of the midpoint are (a1+b1)/2 , (a2,b2)/2.
With that you can solve your question known the coordinates of points A and B.