Answer:
y+1=-5/7(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(4-(-1))/(-3-4)
m=(4+1)/-7
m=5/-7
m=-5/7
y-(-1)=-5/7(x-4)
y+1=-5/7(x-4)
Answer:
<h2><u><em>
100 in³</em></u></h2>
Step-by-step explanation:
A cube has a surface area of 60 in2. Find the volume in in3.
- we find the area of one of the 6 squares that make up the cube
60 : 6 = 10 in²
- with the inverse formula we find the side
√10 = 3,162277660168379
- we find the volume with the formula Volume = l³
3,162277660168379³ =
99,99999999999996
round
<u><em>100in³</em></u>
Answer:


Step-by-step explanation:
Given

Required
Solve for 


So, we have:

Invert both sides


Take
of both sides



--- approximated
Convert to minutes:

So:


Answers:
- x = 4
- angle CAB = 26 degrees
- angle ABC = 24 degrees
Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.
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Explanation:
We use the remote interior angle theorem.
This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".
(angle CAB) + (angle ABC) = exterior angle
(6x+2) + (9x-12) = 50
15x-10 = 50
15x = 50+10
15x = 60
x = 60/15
x = 4 is the first answer
We can then find the interior angles
angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer
angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer
Then notice how 26+24 = 50 to help confirm the answers.
Divide both numbers by a common multiple which will give you: 1/3