Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
I not 100% sure but I chose C.
Hope this helps.. but good luck :)
Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
Question that needs to be solved:You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?=> 4 gallons is to 30 plants.=> 4 gallons / 30 plants = 0.13 gallons per plants.Now, it needs to water around 45 plants, let us solve how much will it need => 0.13 gallons * 45 plants = 6 gallons<span>Thus, to water 45 plants you need to have 6 gallons of water</span>
