Hello from MrBillDoesMath!
Answer:
k = 10
Discussion:
angle MYK = 180 and angle MYX = 180 => angle ZYX = 180 - 115 - 65
Trialing XYZ has 180 degrees so
180 = (4k + 5) + (6k+10) + 65 => combine like terms
180 = (4k + 6k) + (5 + 10 + 65) => as 4k +6k = 10k
180 = 10k + 80 => subtract 80 from both sides
180 -80 = 100 = 10k => divide both sides by 10
100/10 = k
Thank you,
MrB
Answer:
a: 55°
Step-by-step explanation:
The measure of arc NM is the same as the measure of the central angle that intercepts it: Q. The sum of the central angles of a circle is 360°, so ...
Q = 360° -120° -60° -65° -60° = 55°
The measure of arc NM is 55°.
Answer:
2:30
Step-by-step explanation:
A half hour is 30 minutes.
56 cards left
10 cards in each pack (8 packs)
3 cards taken away from 8 packs is a total of 24 cards taken away.
8 times 10 is 80. 80 total cards.
80 take away 24 is 56.
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
