Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
<h3>What is a Perpendicular Bisector of a Segment?</h3>
- A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
- Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.
Thus:
VT = RV = 8
VT = 8
Applying Pythagorean Theorem:
VS = √(ST² - VT²)
Substitute
VS = √(17² - 8²)
VS = 15
Find RS using the Pythagorean Theorem:
RS = √(VS² + VR²)
Substitute
RS = √(15² + 8²)
RS = 17
Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
VT = 8
RS = 17
Learn more about perpendicular bisector here:
brainly.com/question/11006922
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
Answer:
390
Step-by-step explanation:
10% = 39
39 x 10 = 390
390 = 100%
Answer:
y=2x-13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(3-6)
m=(-7+1)/-3
m=-6/-3
m=2
y-y1=m(x-x1)
y-(-1)=2(x-6)
y+1=2(x-6)
y=2x-12-1
y=2x-13
The correct answer is D.12
