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VARVARA [1.3K]
3 years ago
7

Help AB and CD are straight lines find z​

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer: z=16

Step-by-step explanation:

Angles on a straight line add up to 180.

As AB is a straight line we can use that to help us find z.

So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).

Then you would do 180-164=16

So z=16

Hope this helps :)

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Simplify the square root of 10000 using powers of 10.
Alexxandr [17]

Answer:

square 10 to the 4th power but you have to divide it into 2 so it will be 10 to the 2nd power

hope this helps

4 0
2 years ago
Over the last three evenings, Yoko received a total of 73 phone calls at the call center. The third evening, she received 3 time
stealth61 [152]
The first evening she received x calls.
The second evening she received 7 fewer calls than the first evening, so she received x-7 calls.
The third evening she received 3 times as many calls as the first evening, so she received 3x calls.
Over the three evenings she received 73 calls altogether.

x+x-7+3x=73 \\
5x-7=73 \\
5x=73+7 \\
5x=80 \\
x=\frac{80}{5} \\
x=16 \Leftarrow \hbox{the first evening} \\ \\ \hbox{the second evening:} \\
x-7=16-7=9 \\ \\ \hbox{the third evening:} \\
3x=3 \times 16=48

The first evening she received 16 calls, the second evening she received 9 calls, the third evening she received 48 calls.
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3 years ago
Determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space
oksano4ka [1.4K]

Answer:

  • The set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.
  • The 10th axiom  cv \in V does not hold

Step-by-step explanation:

Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:

  • 1. u+v  \in V
  • 2. v + w = w + v
  • 3. (u + v) + w = u + (v + w)
  • 4. v + 0 = v = 0 + v
  • 5. v + (−v) = 0
  • 6. 1v = v
  • 7. c(dv) = (cd)v
  • 8. c(v + w) = cv + cw
  • 9. (c + d)v = cv + dv
  • 10. cv \in V

Given the set of all vectors x, y in R^2 with x ≤ 0 and y ≤ 0

If the scalar c is such that c0.

Therefore, the 10th axiom is not satisfied and thus the set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.

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3 years ago
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kykrilka [37]

Answer:

The Answer is x>0

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3 years ago
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