Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,
⇛ Angle AEB = Angle DEC
⇛ 9x + 8° = 3x + 42°
⇛ 9x - 3x = 42° - 8°
⇛ 6x = 34°
⇛ x = (34/6)°
<u>To </u><u>find</u><u>:</u> Angle DEC = 3(
34/6 °) + 42° = <u>5</u><u>9</u><u>°</u><u> </u><u>(</u><u>Ans)</u>
Answer:
y = 7/2x - 20
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of the original slope.
-2/7 -> 7/2
Find the new y-intercept.
y = 7/2x + b
-6 = 7/2(4) + b
-6 = 14 + b
-20 = b
y = 7/2x - 20
Best of Luck!
Answer:
y-6=4(x+1) or y=4x+10
Step-by-step explanation:
Point: (-1,6)
m=4
Slope-point form is y-y1=m(x-x1)
y1=6
x1=-1
Now, plug it in!
y-6=4(x-(-1)) which is y-6=4(x+1)
Of course, if you want you could always simplify it down to y=4x+10 if you wanted to
Hope this helps!
The answer to this question is sqrt(2)/2. Invoke the unit circle to derive this expression, or use special triangles and reference triangles.
Here's how to convert 0.46 to a fraction...
There is not much that can be done to figure out how to write 0.46 as a fraction, except to literally use what the decimal portion of your number, the .46, means.
Since there are 2 digits in 46, the very last digit is the "100th" decimal place.
So we can just say that .46 is the same as 46/100. The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.
Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 46 and 100.
So, this fraction reduced to lowest terms is 23/50
So your final answer is: 0.46 can be written as the fraction 23/50
