Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer:
1)for x > 3 statement (1) is true.
2) for y < 8 statement (2) is true.
Step-by-step explanation:
Given : two sentences.
1)
2)
We have to find for what values of x and y the statement are true.
Consider
1)
We solve for x ,
Divide both side by 11, we get,
Now, multiply both side by 3, we get,
Thus, for x > 3 statement (1) is true.
2)
Here, we solve for y ,
Divide both side by 5, we get,
Now, multiply both side by 8, we get,
Thus, for y < 8 statement (2) is true.