Answer:
Angle x= 60°
Step-by-step explanation:
For the triangle HIL, you're going to add 30+90=120
Angles in a triangle add up to 180.
So, therefore,
180-120=60 so angle L must equal 60.
HJ is a straight line and angles in a straight line add up to 180.
180-90=90
Angle JIL is equal to 90.
To find y you add 90+45 which equals 135.
Again, angles in a triangle add up to 180.
180-135=45
So,
y = 45
Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.
To find angle JLK we must add angle L and angle y.
60+45=105
Angles in a straight line add up to 180. So,
180-105=75
75 = Angle JLK
75+45=120
Angles in a triangle add up to 180 so,
180-120= 60
Angle x= 60°
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The answer is B for every change in x by 2, y changes by 4
EXPLANATION:
In the chart, each time they add 2 in the x (-4 +2 is -2, -2 + 2 is 0 and so on) in the y pile they add 4
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
E. 5/15 since you multiply the numerator and denominator by 5.
D. 2/3 since you divide the numerator and denominator by 3.
W. 15/24 since you multiply the numerator and denominator by 3.
J. 4/5 since you divide the numerator and denominator by 5.
C. 48/54 since you multiply the numerator and denominator by 6.
G. 24/21 since you multiply the numerator and denominator by 3.
T. 27/36 since you multiply the numerator and denominator 3.
Answer:
10
e
^10
x
Step-by-step explanation:
Find the derivative using the chain and power rules.
