Step-by-step explanation:
23(+4(36=12))
23(144=48
3312=1104
If the ratio of red to blue pens is 3:1, we can find the amount of blue pens by multiplying by 1/3, to get 21*1/3=7. There are 21 red pens and 7 blue pens, so there are 21+7=28 pens total.
Answer:
Step-by-step explanation:
First at all, we need to use 
to convert this expression into a fraction, like:
to convert into 
.
Expand the fraction to get the least common denominator, like
Write all numerators above the common denominator, like this:
The bottom one used the same way to became simplest form, like this:
And it became like this:
Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.
3y-2(5) and 5y-1(3)
and it will becomes like this in function form:
Then, we should distribute 5 through the parenthesis
And.... Here we go. That is the answer.
Angles LNM and MNI are supplementary, so their measures sum to 180°. This means
∡ LNM + ∡ MNI = 180°
∡ LNM = 180° - (19<em>x</em> + 2)°
The sum of the interior angles of any triangle is also 180°, so
∡ LNM + ∡ NML + ∡ MLN = 180°
(180° - (19<em>x</em> + 2))° + (15<em>x</em> - 2)° + (6<em>x</em>)° = 180°
Solve for <em>x</em> (I'll omit the degree symbol):
180 - 19<em>x</em> - 2 + 15<em>x</em> - 2 + 6<em>x</em> = 180
2<em>x</em> - 4 = 0
2<em>x</em> = 4
<em>x</em> = 2
Then ∡ MNI = (15•2 - 12)° = (30 - 12)° = 18°.
