<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
With 2 cubes, there are 3 ways to roll a sum of 4... 1 and 3, 3 and 1, 2 and 2.
with 2 cubes, there are 3 ways to roll a sum of 10....6 and 4, 4 and 6, 5 and 5.
total possible outcomes = (6 * 6 ) = 36
probability of this happening is 6/36 reduces to 1/6
Answer:
first dice-4/6
second dice-5/6
Step-by-step explanation:
if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice
Answer:
Two subsets that form set of real numbers
You can take positive numbers and negative numbers subset
One subset become (- infinity,0]
other subset (0, infinity)
Answer:
B: $2.50
Step-by-step explanation:
$120 ÷ 48 roses = cost per rose ($2.50)
