Answer: b
Step-by-step explanation:
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:
Look for perpendicular lines or corresponding angles or alternate interior angles.
Step-by-step explanation:
When you want to show that a quadrilateral is a parallelogram you need to show that the oposite sides are parallel. In order to show that two segments are parallel there are various theorems and definitions you can use.
1 - Remember that two lines perpendicular to the same segment are parallel.
2 - When two lines are cut by a secant and their alternate interior angles are congruent, then the resulting lines are parallel, I will attach a drawing to illustrate what I am saying.
3 - When two lines are cut by a secant and their CORRESPONDING angles are congruent, then the resulting lines are parallel, I will also attach a drawing to illustrate what I am saying.
Answer:
39,51
Step-by-step explanation:
Complementary angles add to 90 degrees
Let one angle be x
The other angle is x+12
x+ x+12 = 90
Combine like terms
2x+12 = 90
Subtract 12 from each side
2x+12-12 = 90-12
2x = 78
Divide each side by 2
2x/2 = 78/2
x =39
The other angle is 39+12 =51
Answer:
Andre.
Step-by-step explanation:
Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.
Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.
Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.
Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.
Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.
Hence, only Andre gives the correct expression. (Answer)