Answer:
y = 12
Step-by-step explanation:
∵ m∠ABC = 40
∵ BD ray is the bisector of ∠ABC
∴ m∠ABD = m∠CBD = 20
In 2 Δ BAD and BCD:
∵ m∠BAD = m∠BCD = 90°
∵ m∠ABD = m∠CBD = 20°
∵ BD is a common side in the two triangles
∴ ΔABD congruent to ΔCBD⇒(AAS)
∴ AD = CD
∴ 3y + 6 = 5y - 18
∴ 5y - 3y = 6 + 18
∴ 2y = 24
∴ y = 24/2 = 12
Answer:
0 is the probability that Tim will select a card labeled with a number 6.
Step-by-step explanation:
We are given the following in the question:
Number of cards = 4
Cards with labels:
1,3,5,7
Tim will select one card from the box. We have to find the probability that Tim will select a card labeled with a number 6.
Formula:

0 is the probability that Tim will select a card labeled with a number 6. Thus, it is an impossible event.
Answer:
1 = x and -2 = y
I am fairly happy with this answer
Answer:
Small box weighs 13.75 kg & large box weighs 15.75 kg
Step-by-step explanation:
We can write 2 simultaneous equation and solve for weight of each box.
<em>Let weight of large box be l and small box be s.</em>
<em />
"<u>3 large boxes and 5 small boxes has a total weight of 116 kilograms</u>":

and
"<u>9 large boxes and 7 small boxes has a total weight of 238 kilograms</u>":

<em>Now we can solve for l in the 1st equation and put it into 2nd equation and get s:</em>
<em>
</em>
<em>now,</em>
<em>
</em>
<em />
<em>now we plug in 13.75 into s into equation of l to find s:</em>
<em>
</em>