Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
I believe the answer is B and E
Answer:
C. 2(k +2)(k +5)(k +1)
Step-by-step explanation:
The LCM will be the product of unique factors.
The unique factors are 2, (k+1), (k+2), (k+5), so the LCM is their product:
2(k+1)(k+2)(k+5) . . . . matches choice C
Answer:
B.
(3x + 4)(x − 7)
Step-by-step explanation:
If you multiply.
3x2-21x+4x-28
3X2-17x-28
Answer:
Okay so what you are looking at is a triangle with a cross section. That is line segment PQ.You ae asked to find the length of PN. What you are given is the height(s) of NQ (5 units), QM (2 units) and PL (3 units). You can make an educated guess that line NP equals 4 units. Mainly because those two little arrows on lines LM and PQ (that means that the two lines are parallel). hope it helps...
