What is the sum of the interior angles of the polygon pictured below?

Mathematics

1 answer:

Inessa [10]2 years ago

7 0

Answer:

720°

Step-by-step explanation:

Formula for sum of interior angles:

(n - 2) x 180

(6 - 2) x 180

4 x 180

720

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Need help with this. <br><br> A B C D

patriot [66]

Answer:

yes, it is a right triangle and ∡Q is the right angle

Step-by-step explanation:

if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle

slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1

slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1

-1 and 1 are opposite and reciprocal so m∡Q = 90°

8 0

2 years ago

Find domain of y=rad20-6x

Evgesh-ka [11]

Domain, on an "even root" context, means, an even root cannot have a negative radicand, since say for example $\bf \sqrt{-25}\ne -5\qquad why?\implies (-5)(-5)=25$

so... you end up with an "imaginary value"

so... for the case of 20-6x
"x", the domain, or INPUT
can afford to have any value, so long it doesn't make the radicand negative

to check for that, let us make the expression to 0, and see what is "x" then

$\bf 20-6x=0\implies 20=6x\implies \cfrac{20}{6}=x\implies \cfrac{10}{3}=x$

now, if "x" is 10/3, let's see $\bf \sqrt{20-6\left( \frac{10}{3} \right)}\implies \sqrt{20-20}\implies \sqrt{0}\implies 0$

now, 0 is not negative, so the radicand is golden

BUT, if "x" has a value higher than 10/3, the radicand turns negative
for example $\bf x=\frac{11}{3}
\\\\\\

\sqrt{20-6\left( \frac{11}{3} \right)}\implies \sqrt{20-22}\implies \sqrt{-2}$

so.. that's not a good value for "x"

thus, the domain, or values "x" can safely take on, are all real numbers from 10/3 onwards, or to infinity if you wish

5 0

3 years ago

Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40% chance of him selling a candy bar

labwork [276]

Answer:

It will take him about 13 houses to sell the 5 candy bars.

Pat has an 18% chance of selling his last candy in the 11th house.

Step-by-step explanation:

Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:

5 / 0.40 = X

12.5 = X

So, it will take him about 13 houses to sell the 5 candy bars.

5/11 = X

0.45 = X

0.45 x 0.4 = 0.18

Thus, Pat has an 18% chance of selling his last candy in the 11th house.

4 0

3 years ago

A large mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pou

Marysya12 [62]

Answer