Answer:
Step-by-step explanation:
Maximum weight with no extra fee = 50 pounds
Current weight = 30.5 pounds
<u>Required inequality:</u>
<u>Solve it:</u>
Clara can pack extra 19.5 pounds without extra fee
Answer:
x = 
Step-by-step explanation:
a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .
since the other two sides are equal both should be denoted as x.
now the value of a is given i.e 14 m
using pythagoras theorem,
pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,
a^2 + b^2 = c^2
x^2 + x^2 = 14^2
2x^2 = 196
x^2 = 196/2
x^2 = 98
x = 
x = 
Vertical angles are angles that meet at the point. The angles EAF measures 18 degrees
<h3>What are Vertical angles?</h3>
Vertical angles are angles that meet at the point where two lines intersects and facing each other.
These angles are always equal to each other. Given the vertical angles shown below:
mEAF=2x+4 and;
mGAF=x+11
Equate both expressions to have:
2x + 4 = x + 11
Collect the like terms
2x-x = 11 - 4
x = 7
Determine the measure of m<EAF
m<EAF = 2x + 4
m<EAF = 2(7) + 4
m<EAF = 18 degrees
Hence the measure of angles EAF is 18 degrees
Learn more on vertical angles here: brainly.com/question/5634303
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The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
<h3>What is a logarithm?</h3>
Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic expression is given as

We know that formulas

Then we have
![\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})](https://tex.z-dn.net/?f=%5Crightarrow%20%5Clog%20_5%285x%5E3%29%5E2%20%2B%20%20%5Clog%20_5%28x%5E2%20%2B6%29%5E%7B1%2F3%7D%5C%5C%5C%5C%5Crightarrow%20%5Clog%20_525x%5E6%20%2B%20%20%5Clog%20_5%5Csqrt%5B3%5D%7B%28x%5E2%20%2B6%29%7D%5C%5C%5C%5C%5Crightarrow%20%5Clog%20_5%2025x%5E6%20%28%5Csqrt%5B3%5D%7B%28x%5E2%20%2B6%29%7D%29)
More about the logarithm link is given below.
brainly.com/question/7302008