The angles shown below are supplementary:

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

180-70=110 so with the remaining 110 divide by 10 to get x=11

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HELP ME DO A STATEMENT REASON FOR THIS PLEASE

Natali [406]

Answer:

Lines are parallel if the sum of external angles of same side is 180°.

Step-by-step explanation:

Let one of the external angle is α°.

and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)

Also β° = 1/6 of the right angle = (1/6)×90° = 15°.

β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.

α°+β° = 165° + 15° = 180°.

Here, sum of the two external angles = 180° ⇔ the given lines are parallel.

3 0

3 years ago

Which exponential function is represented by the values in the table?

Goryan [66]

Answer:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0$