Which system below has no solution? y = 4x and y = 2x - 3y = -4x and y = 2x - 3 y = -4x and y = 2x + 3
1 answer:
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Answer:
<u>Question 11:</u>
<u>Question 12:</u>
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
<u>Question 11</u>
Given
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a):
Diagonal CA divides into 2 equal angles
i.e
So:
Solving (b):
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
Solving (c):
First, we calculate , considering
:
To calculate , we have:
Solving (d):
From the rhombus
Where
So:
Solving (e):
To do this we consider
Using the tan formula
and
So:
Solving (f):
This is calculated as:
Where
<u>Question 12: Isosceles Triangle</u>
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
Answer:
Step-by-step explanation:
You used Pythagorean theroem which is correct as this does form a right triangle however 50 is the hypotenuse as the ladder is propped up against the wall. 30 would then be the height of the triangle and the base is unknown so...
50 squared minus thirty squared gives 1600 so:
Therefore x is the square root of 1600 which is 40