Answer:
x=28
Step-by-step explanation:
From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.
Summarizing:
1. m<3 = m<4
2. m<1 = m<2
3. m<1 + m<2 + m<3 + m<4 = 360
Substituting 1 and 2 in equation three we have:
4. 2m<2 + 2m<3 = 360.
Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:
2 ( x + 84) + 2 ( 3x + 16) = 360
Solving for x:
2x + 168 + 6x + 32 = 360
8x = 224
x=28
A circle is 360°. So 360/12= 30°. Hope that helps.
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
Answer:
B or C or maybe A
Step-by-step explanation:
Answer: partial correlation.
Explanation:
partial correlation measures the degree of association between two random variables, with the effect of a set of controlling random variables removed. If we are interested in finding to what extent there is a numerical relationship between two variables of interest, using their correlation coefficient will give misleading results if there is another, confounding, variable that is numerically related to both variables of interest. This misleading information can be avoided by controlling for the confounding variable, which is done by computing the partial correlation coefficient.