In this question we are asked to find the ratio of the number of chocolates which Lauren liked and the total of chocolates.
We know she doesn't like coconut and toffee, so she likes caramel, mint and cherry. When we count the ones she liked, we got
.
When we add to find how many chocolates are there, we got
.
To find the ratio we need to divide the first one and the second one:
is our probability.
Answer:
D
Step-by-step explanation:
∠ABC= ∠DBE (vert. opp. ∠s)
(6x -7)°= (4x +23)°
6x -7= 4x +23
<em>Being</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>
6x -4x= 23 +7
<em>Simplify</em><em>:</em>
2x= 30
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>
x= 15
<em>Substituting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em>:</em>
m∠ABC
= 6(15) -7
= 83
Answer:
D is 12
Step-by-step explanation:
75 - 63 = 12 = D
Check the picture below.
we know the lines are angle bisectors, so the line makes twin angles, so the line FP is making twin angles, we also know the angle FZP and the angle FYP are right-angles, as well as FP is a common hypotenuse to two right triangles, thus by the HA postulate for right triangles, triangle FPZ and triangle FPY are both congruent, so their sides are also congruents, thus PY = PZ.
Answer:
(2x^3+4x^2-4x+6) / (x+3) = 2x^2-2x+2 => B
Step-by-step explanation:
