If you do the elimination process, here it is.
- A : Too small
+ B : I think so
- C : I little too big
- D : Way too big
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
__
2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
__
3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Answer:
- The length of VW = 36 units.
Step-by-step explanation:
We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.
From the diagram, it is clear that
As all the four sides of the rhombus have equal length.
So we can observe
Add 12 to both sides
Divide both sides by 2
so
The length of VW= 6m-12
= 6(8)-12 ∵
= 48-12
= 36
Thereofore, the length of VW = 36 units.
'Percentage' is obtained by multiplying 2.45 by - 7%.
- 7% × 2.45 =
(- 7 ÷ 100) × 2.45 =
(- 7 × 2.45) ÷ 100 =
- 17.15 ÷ 100 =
- 0.1715 ≈
- 0.17;
<h2>How do we check the result?</h2>
If - 7% × 2.45 = - 0.1715 =>
Divide - 0.1715 by 2.45...
... And see if we get as a result: - 7%.
<h2>Note:</h2>
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
GI (make sure you put a line horizontal across the GI to label that you are mentioning a line segment)
