Answer:

Step-by-step explanation:
Step 1
Find the value of x
we know that
In an inscribed quadrilateral the opposites angles are supplementary
so
In this problem

substitute the values and solve for x




step 2
Find the measure of angle B

substitute the value of x

Well the sum is 15+6=21. then you must do 81-21=60. So your answer must be t=60.
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Let
x = first consecutive odd
x + 2 = second consecutive odd
Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17
Therefore, the integers are 15 and 17.
Answer:
True
Step-by-step explanation:
5 X 5 X 5 = 125 because 5 X 5 would be 25. And 25 X 5 would be 125.