Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
Step-by-step explanation:
The common ratio is the constant found by dividing any term by the previous term.
r=6/36=1/6
r=1/6
I am assuming the 16 at the end of the sequence was a typo. IF 16 was at the end of the sequence it is NOT a geometric sequence as there would not be a common ratio for all terms.
Answer:
Step-by-step explanation:
Taking the base 2 log of both sides, we get:
log-base 2 of 2 + log-base 2 of y = log-base 2 of 5, or
2 + log-base 2 of y = approx. 2.3, or
log-base 2 of y = approx 2.3 - 2, or
log-base 2 of y = approx 0.3
Please, if you are given a graph or graphs, share them along with all instructions for the problem at hand. Thank you.
Answer：
Step-by-step explanation:
