Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

Cross multiply

Hence proved.
Answer:
430p
Step-by-step explanation:
For this, we'll find the least common multiple for 15 and 18.
=> The least common multiple for 15 and 18 is 90
<u><em>Plastic Knives:</em></u>
Jace will buy 90 knives.
=> Packets = 90/18 = 5 Packets
Money for 5 Packets = 5 * 45
=> 225p
<u><em>Plastic Forks:</em></u>
Jace will buy 90 forks also.
=> Packets = 90/15 = 6 Packets
Money fro 6 packets = 6 * 41
=> 205p
<u><em>Least Amount of Money Jace will spend</em></u> = 225p+205p
=> 430p
Answer:
y ≤ -5
Step-by-step explanation:
Answer:
85 ft^2
Step-by-step explanation:
The four sides of the pyramid: 5×6÷2×4=60
The bottom of the pyramid: 5×5=25
60+25=85 ft^2
<span>Quincy
says that 3 is a good estimate for 3.4 X 0.09, is she correct? Why?
When we say estimates meaning it is not the exact answer but close to what is
the exact.
Now, if Quincy estimated 3 as the product of 3.4 * .09, then let’s check if she
has the correct estimates.
=> 3.4 estimates is 3
=> 0.09 estimates is 0.1
Now the answer is 0.3 and not 3.
Thus, Quincy’s estimate is wrong.</span>