What is the measure of ∠x?

Mathematics

2 answers:

sp2606 [1]3 years ago

8 0

Answer:

Step-by-step explanation

Subtract 180 by 156 to find the measurement of the other angle cause it 180 degrees in all.

Schach [20]3 years ago

3 0

Angle x is supplementary to the angle with 156 degrees. What this means is that the sum of the two angles is 180 degrees. With this knowledge you can make a formula like so...

156 + x = 180

Now you can solve for x by subtracting 156 to both sides

156 - 156 + x = 180 - 156

x = 24

Hope this helped!

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krek1111 [17]

Answer:

b. 70

Step-by-step explanation:

The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.

<u>Binomial Coefficient</u>

$\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}$

The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.

As there are 8 friends ⇒ n = 8.

As each car takes 4 friends ⇒ r = 4.

Substitute these values into the formula:

$\begin{aligned} \implies \displaystyle \rm \binom{8}{4} \: = \:^{8}C_{4} & = \rm \frac{8!}{4!(8-4)!}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1\times 4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5}{4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{1680}{24}\\\\ & = \rm 70\end{aligned}$