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.
$50
20 x 2 = 40, which is 80%
and then 20 divided by 2 is 10; so you add that to 40 and you get your answer
The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6
Nth=-1(-6^(n-1)
NTh=an
a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216
therefore this serie is rising at an increasing fast speed, it is an geometric progression.
A. False
Why? Because you cut off the triangle. The measurements are 20 mm and 10 mm.
B. True
Why? Because 20*10 = 200
C. False
Why? Because the base is 6 since 26 - 20 is 6. The height is 4, not 6 because 10 - 6 is 4.
D. True
Why? Because like question C., the base is 6, and the height is 4. 6*4 is 24/2 = 12. If you don't get this, the formula for all triangles is b*h*1/2
E. True
Why? Because from questions B. and D., the area of the rectangle is 200 and the area of the triangle is 12. 200 + 12 = 210.
Hope this helped,
Loafly
528= 8x+240
288=8x
x=36 hours
