Answer:
JKL=127°
BEF=63°
m 1=90°
CBY=66°
Step-by-step explanation:
JKL:
the two lines are parallel and cut by one line so the corresponding angles just be the same.
BEF:
(7x-14)=4x+19
add 14 to each side
7x=4x+33
subtract 4x from each side
3x=33
divide each side by 3
x=11
implement that into 4x+19
4(11)+19
44+19
63
m 1:
Since the congruent angles is 90 and 90 + m 1= 180° the m 1 has to be 90°
3x+9+6x=180 since they are corresponding angles on a parallel line and corresponding angles must equal 180° in total
9x+9=180
subtract 9
9x=171
divide each side by 9
x=19
3(19)+9
66°
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Question
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
a) how many hens does she have ?
b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday
Answer:
a) 240 hens
b) 2160 eggs
Step-by-step explanation:
a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
Hence,
1 coop = 12 hens
20 coops = y hens
Cross Multiply
y hens = 20 coops × 12 hens/1 coop
y hens = 240 hens
Therefore Farmer Jim has 240 hens
b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?
From question a) we determine that the number of hens that Farmer Jim has:
240 hens
Hence,
1 hen = 9 eggs
240 hens = z eggs
z eggs = 240 hens × 9 eggs/1 hen
z eggs = 2160 eggs
Therefore, on Monday Farmer Jim will collect 2160 eggs
The correct definition of dependent events is two events are dependent if the outcome of the first event affects the outcome of the second event.
<h3>What are dependent events?</h3>
Two events are dependent if the outcome of one of the event depends on the outcome of the first event. An example of a dependent event is if it rains, the floor would be wet.
To learn more about dependent events, please check: brainly.com/question/13075229
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Answer:
The radius of the circle is 14 inches.
Step-by-step explanation:
How is the circumference of a circle related to its radius?
.
In brief,
.
For this question,
, and
needs to be found.
Divide both sides of the equation by
:
.
.
In other words, the radius of this circle is 14 inches.
Answer:
131
Step-by-step explanation:
(-)86+45
86 + 45 = 131