Hey there!!
(1) Both the angles sum up to be 180.
(2) Both the angles sum up to be 90
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(1) 4x+5+8x-5=180
... 12x=180
... x= 180/12
... x = 15
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(2) 4z+3z+6=90
... 7z+6=90
... 7z=84
... z=84/7
... x=12
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Hope it helps!
Answer:
a) 3x-5=16
b) 30cm
Step-by-step explanation:
a) 5(x-1)=2(x+8)
5x-5=2x+16
5x-2x-5=16
3x-5=16
b) solving the equation gives x=7
put x=7 into first line, 5(7-1)=30cm
to check we can place it into second one as well
2(7+8)=30cm
In four hours, he drives: = 252
So, Unit rate = 252/4 = 63 mph
In seven hours, it would be = 63 * 7 = 441 miles
Hope this helps!
True is going to be the correct answer.
Hello once again!
When you see a question like this, you need to find the equation of the straight line.
The formular used is y = mx + c
Where
m = slope
c = constant
First find the slope, since it's a straight line, any 2 coordinates can be used.
Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.
In this case i'm using the coordinate
(-2, 16)
y = mx + c
16 = -6(-2) + c
16 = 12 + c
c = 4
∴ The equation of the line is y = -6x + 4
The next step is to simply substitude in the x = 8 to the equation to find y.
y = -6(8) + 4
y = -48 + 4
y = -44