Answer:
x = 20
y = 10
m∡8 = 110°
Step-by-step explanation:
m∡1 + m∡2 = 180
5x + y + 3x + y = 180
8x + 2y = 180
m∡1 = m∡8 (they are alternate-exterior angles and are congruent)
5x + y = 3x + 5y
2x = 4y
x = 2y
Substitute '2y' for 'x' in 8x + 2y = 180
8(2y) + 2y = 180
18y = 180
y = 10
x = 2(10)
x = 20
m∡8 = 3(20) + 5(10) = 110°
Answer:
x = 34/13
Step-by-step explanation:
3(5x - 6) + 2(x + 8)
15x - 18 = 2x + 16
15x = 2x + 34
13x = 34
x = 34/13
Best of Luck!
Answer:
MN-27
Step-by-step explanation:
the formula will be
NL×ML=KL^2
so substitute to get
24x=432
x=18
MN- 2x-9=2×18-9=27
2*1.4=2.8
1.5*1.4= 2.1
New figure: 2.8 by 2.1
The probability that the letters CO remain next to each other (in order) as a unit is
.
<h3>
What is probability?</h3>
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.
When the letters are arranged randomly in a row, the total number of arrangements is 40,320 , and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.
Therefore, possible outcomes = 5040 and
Total outcomes = 40320
Probability = 
p = 
Therefore, the probability that the letters CO remain next to each other (in order) as a unit is
.
To learn more about probability with the given link
brainly.com/question/11234923
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