Answer:
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<h3>Given</h3>
- Two parallel lines,
- Included triangle between the parallel lines,
- Two interior angles of the triangle are m and n,
- Another angle of 40°.
<h3>To find </h3>
- The sum of angles m and n
<h3>Solution</h3>
As per given, the missing interior angle is corresponding with 40° angle.
Since corresponding angles are equal, the third interior angle of the triangle is 40°.
Sum of three interior angles is 180°:
- m + n + 40 = 180
- m + n = 180 - 40
- m + n = 140
Answer:
1. x = 5
Step-by-step explanation:
1.
The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:
solve:
2. Diagonals are congruent
You can see in this picture that the diagonals are not always congruent:
Answer:
d
Step-by-step explanation:
The product of 7 and 50 is = 350
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
