Answer:
Answer is A
Step-by-step explanation:
(14x^4y^6)/(7x^8y^2)
because everything is one term, you can split into three terms
14/7, x^4 / x^8 , and y^6/y^2
multiplying these three terms will get us the starting term
14/7 = 2
x^4 / x^8
with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent
1/x^4
same thing with our y's
y^6/y^2
this time, the term stays on the top
y^4
take the simplified terms and multiply them together
(2) * (1/x^4) * (y^4) =
A: (2y^4) / (x^4)
To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7
The answer is 7.
<h2>Helloooo!!! Marie Here!!!</h2><h2 />
The answer is here:
<h3>
Hope This Helps! Have A GREAT Day!</h3>
