<span>2a(cubed) - 2a(squared) - 7a + 7
</span><span>= 2a^3 - 2a^2 - 7a + 7
= 2a^2 (a -1) - 7 (a -1)
= (a - 1)(2a^2 - 7)
(a - 1) and </span>(2a^2 - 7) are factors
answer
<span>A) (a - 1) </span>
Answer:
Q:
my problem is this. Solve the problem.The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger t…
A:
In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle Step-by-step explanation:
Find the measures of angles A, B, and C in triangle ABC, if measure of angle B = 5 times the measure of angle A measure of angle C = measure of angle A + 110
✓ A + B + C = 180 A + 5A + A+110 = 180
Answer:
Area = 88 units squared
Perimeter = 40 units
Step-by-step explanation:
The formula for the Area of the parallelogram is base (11) times height (8)
The perimeter is just adding all the outsides together (11 + 11 + 9 + 9)
Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
Therefore, the value of PN is 6 when QN=9.
Answer/Step-by-step explanation:
Museum and Worship center => alternate exterior angles (E)
Rationale: they are exterior angles positioned in opposite sides of the transversal
Bank and Day Care => Alternate Interior Angles (A)
Rationale: they are interior angles positioned opposite each other on each side of the transversal
Park and Coffee shop => vertical angles (D)
Rationale: They are angle pairs formed by the interception of two straight lines
Fire Station and Worship Center => linear pair (F)
Rationale: They are angles on a straight line
Community Center and Day Care => consecutive interior angles (B)
They are interior angles that lie in the same side of the transversal
Bank and Museum => Corresponding Angles (C)
Rationale: they have the same matching corners
