I don’t know because you don’t show any chart
Sin 30 = 16/x
x = 16/sin 30 = 32
The answer is d: 32.
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
<h3 /><h3>What is congruency?</h3>
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
Learn more about congruency at
brainly.com/question/14418374
#SPJ1
Answer:
Step-by-step explanation:
Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.
If the weight of an alloy = x kgs
Then weight of copper = 
= 
And the weight of zinc = 
= 
If the weight of zinc = 31.5 kg
31.5 = 
x = 
x = 72 kgs
Therefore, weight of copper = 
= 40.5 kgs
2). i). 2 : 3 = 
4 : 5 = 
Now we will equalize the denominators of each fraction to compare the ratios.
= 

Since, 
Therefore, 4 : 5 > 2 : 3
ii). 11 : 19 = 
19 : 21 = 
By equalizing denominators of the given fractions,

And 
Since, 
Therefore, 19 : 21 > 11 : 19
iii). 


= 
Now we equalize the denominators of the fractions,

And 
Since 
Therefore,
will be the answer.
IV). 



Similarly, 
By equalizing the denominators,

Similarly, 
Since 
Therefore, 
V). If a : b = 6 : 5



And b : c = 10 : 9

Since a : b = 12 : 10
And b : c = 10 : 9
Since b = 10 is common in both the ratios,
Therefore, combined form of the ratios will be,
a : b : c = 12 : 10 : 9
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.