Answer:
AB = 20 tan55°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan55° =
=
=
( multiply both sides by 20 )
20 tan55° = AB
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
For this case we must simplify the following expression:

We solve the operation of the second parenthesis, taking into account that different signs are subtracted and the sign of the major is placed:

We multiply:

We eliminate the parentheses:

We add similar terms, taking into account that equal signs are added and the same sign is placed:

Answer:
The simplified expression is: 
The true statements are;
- fourteen eleventh graders prefer math and eight tenth graders prefer english.
- twenty-three ninth graders and thirty-five twelfth graders prefer math.
<h3>What is a survey?</h3>
In a survey, the opinions of the subjects are sought and these responses are recorded for the purpose of use in the process of decision making.
In this, case, we can see from the table that;
- fourteen eleventh graders prefer math and eight tenth graders prefer english.
- twenty-three ninth graders and thirty-five twelfth graders prefer math.
Learn more about survey:brainly.com/question/3944932
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