Answer:
g(q) = 5/8q
Step-by-step explanation:
-7q + 12r = 3q - 4r
Add 4r to each side
-7q + 12r+4r = 3q - 4r+4r
-7q +16r = 3q
Add 7q to each side
-7q+7q +16r = 3q+7q
16r = 10q
Divide each side by 16
16r/16 = 10q/16
r = 5q/8
g(q) = 5/8q
Answer:
true
Step-by-step explanation:
Answer:
4\pm\sqrt{19}
Step-by-step explanation:
Move everything to left side

Now to solve this square equation we need to find Descriminant

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

Answer:
111 / 190
Step-by-step explanation:
Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

Apply this same concept to each of the other sweets;

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

The probability that the two sweets will not be the same type of sweet =
111 / 190
Step-by-step explanation:
The interior angle of a polygon is given by

The exterior angle of a polygon is given by

where n is the number of sides of the polygon
The statement
The interior of a regular polygon is 5 times the exterior angle is written as

Solve the equation
That's

Since the denominators are the same we can equate the numerators
That's
180n - 360 = 1800
180n = 1800 + 360
180n = 2160
Divide both sides by 180
<h3>n = 12</h3>
<h2>I).</h2>
The interior angle of the polygon is

The answer is
<h2>150°</h2>
<h2>II.</h2>
Interior angle + exterior angle = 180
From the question
Interior angle = 150°
So the exterior angle is
Exterior angle = 180 - 150
We have the answer as
<h2>30°</h2>
<h2>III.</h2>
The polygon has 12 sides
<h2>IV.</h2>
The name of the polygon is
<h2>Dodecagon</h2>
Hope this helps you.