angles BAC and BCA are equal = 69
69 +69 = 138
angles in a triangle =180
180-138 = 42
5x + 2 = 42
5x = 40
x = 8
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
<h3>What is arithmetic mean?</h3>
Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
The second and 3rd term are:
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
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9514 1404 393
Answer:
-8/5
Step-by-step explanation:
When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...
8y = 5x +11 . . . . . add 5x
y = 5/8x +11/8 . . . . divide by 8
The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:
-1/(5/8) = -8/5 . . . . slope of perpendicular line
Answer:
y = -4x + (-2)
Step-by-step explanation:
if you plug in the x values in the equation it equals y
Answer:
Quarters = 20
Dimes = 14
Step-by-step explanation:
Dime = x = 10 cent = $0.1
Quarter = y = 25 cent = $0.25
x + y = 34 - - - (1)
0.1x + 0.25y = 6.40 - - - - (2)
From (1)
x = 34 - y
0.1(34 - y) + 0.25y = 6.40
3.4 - 0.1y + 0.25y = 6.40
3.4 + 0.15y = 6.40
0.15y = 6.40 - 3.40
0.15y = 3
y = 3 / 0.15
y = 20
x = 34 - y
x = 34 - 20
x = 14
Quarters = 20
Dimes = 14
