Answer:
125° and 55°
Step-by-step explanation:
∠ BCE and ∠ ECF are adjacent angles and are supplementary, thus
10x + 15 + 5x = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
Thus
∠ BCE = 10x + 15 = 10(11) + 15 = 110 + 15 = 125°
∠ ECF = 5x = 5(11) = 55°
Answer:
<u>x = 49</u>
Step-by-step explanation:
Since the line is parallel, the value of 2x - 8 is equal to 90.
=> 2x - 8 = 90
=> 2x = 98
=> <u>x = 49</u>
Multiply 2/1 or 2 on both sides to get "y" by itself
y ≤ -14
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Answer:
Step-by-step explanation:
hope this helps
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