Answer:
4(3y+8)
Step-by-step explanation:
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Answer:
that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
Step-by-step explanation:
Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula :
Plug in the two given points:
Subtract the numbers :
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤