Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be 
, we proceed to show the appropriate procedure to step 4:
1) 
Given
2) 
Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If 
, then:
But if 
, then:
Hence, correct answer is A.
Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!
(-35-42-63)/7= (-140)/7=-20
Answer:
n-58
Step-by-step explanation:
we know that
The sum of the internal angles in the triangle must be 
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is 
