M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
Answer:
the answer is b wait I can also be c and d
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
If he puts 300 sunfish into the pond, he will put 225 perch in the pond.
<h3>What is a ratio?</h3>
A ratio is the comparison of one thing to another. Generally, ratios compares value.
They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows
If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:
cross multiply
4x = 900
x = 900 / 4
x = 225
learn more on ratios here: brainly.com/question/89456?referrer=searchResults
Answer:
The given equation is NOT justified.
Step-by-step explanation:
Here, the given equation is 
= 
Now, here Consider the left hand side and simplifying the left side by operating on the like terms,
⇒ = 
=
Here, Left side of equation ≠ Right side of the equation
Hence, ≠
