Answer:
B
Step-by-step explanation:
Given that ∠A ≅ ∠B, Evelia conjectured that ∠A and ∠B are acute angles.
Consider all options:
A. If m∠A=114° and m∠B=170°, then angles A and B are not congruent, so this is not a counterexample.
B. If m∠A=126° and m∠B=126°, then angles A and B are congruent and both these angles are obtuse (their measures are greater than 90°). This means that two obtuse angles can be congruent, so this is a counterexample. True option.
C. If m∠A=30° and m∠B=40°, then angles A and B are not congruent, so this is not a counterexample.
D. If m∠A=45° and m∠B=45°, then angles A and B are congruent, so this examples show two congruent acute angles. But if we have to prove some statement, we have to prove this statement for an arbitrary angles, not for one pair of angles. Moreover, this is an example illustrating given statement, but is not a counterexample.
Answer:
$36
Step-by-step explanation:
It’s $2 per ride and $1 per mile her drive 34 miles so
34x1=34+2=$36
The diameter is equal to the radius multiplied by 2.
Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
<h3>What is the Angles Intersecting Secants Theorem?</h3>
When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
Learn more about angles of intersecting secants theorem on:
brainly.com/question/1626547