Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
Answer:
51
Step-by-step explanation:
a squared+2 squred=c
7×7- 10×10= 49-100= 51
c= 51
find square root of it 51= 7.14
Rewrite the equations;
m+4n=8
m-n=-2
Eliminating m gives;
5n=10
n=2
Replacing for n in the first equation;
m+4(2)=8
m=8
Answer;
(0, 2)
Answer:
Step-by-step explanation:
f(x) = 2x^3 - 4x.....find f(-2).....so sub in -2 for x
f(-2) = 2(-2^3) - 4(-2)
f(-2) = 2(-8) + 8
f(-2) = -16 + 8
f(-2) = -8 <==
Answer:
It will take 10.63 years.
Step-by-step explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.