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!
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
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Answer:
124 items per worker per day
Step-by-step explanation:
21,452/173=124
Step-by-step explanation:
If x = the amount of 12% and y = the amount of 20%, then x + y = 80
Since we need 80 grams of 15%, 80(.15) = 12.
We are given that .12x + .20y = 12.
We can solve the first equation for x or y. Let's do x.
x = 80 - y
.12(80 - y) + .20y = 12
9.6 - .12y + .20y = 12
.08y = 2.4
y = 30
x = 80 - 30 = 50
The 4 litres of red has to be 2 parts of the mixture, so each part will be 2 litres. Therefore 3 parts of cream will be 6 litres and the one part of blue will be 2 litres.