Answer:
∠MLP = 72° , ∠LJK = 22° , ∠JKL = 72° , ∠KLJ = 86°
Step-by-step explanation:
Here, given In ΔJLK and ΔMLP
Here, JK II ML, LM = MP
∠JLM = 22° and ∠LMP = 36°
Now, As angles opposite to equal sides are equal.
⇒ ∠MLP = ∠MPL = x°
Now, in ΔMLP
By <u>ANGLE SUM PROPERTY</u>: ∠MLP + ∠MPL + ∠LMP = 180°
⇒ x° + x° + 36° = 180°
⇒ 2 x = 180 - 36 = 144
or, x = 72°
⇒ ∠MLP = ∠MPL = 72°
Now,as JK II ML
⇒ ∠LJK = ∠JLM = 22° ( Alternate pair of angles)
Now, by the measure of straight angle:
∠MLP + ∠JLM + ∠JLK = 180° ( Straight angle)
⇒ 72° + 22° + ∠JLK = 180°
or, ∠JLK = 86°
In , in ΔJLK
By <u>ANGLE SUM PROPERTY</u>: ∠JKL + ∠JLK + ∠LJK = 180°
⇒ ∠JKL + 86° + 22° = 180°
⇒ ∠JKL = 180 - 108 = 72 , or ∠JKL = 72°
Hence, from above proof , ∠MLP = 72° , ∠LJK = 22° , ∠JKL = 72° ,
∠KLJ = 86°
Answer:
<u>Δ MNO ≅ Δ PQR by ASA postulate</u>
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
<u>Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.</u>
Answer:
0.1997 or 19.97%
Step-by-step explanation:
Have taken course online (H) = 23%
Have NOT taken course online (N) = 77%
Have taken course online and don't believe they provide same value (H&D) = 61%
Have NOT taken course online and don't believe they provide same value (N&D) = 73%
The probability that a student has taken a course online given that she does not believe that online courses provide the same educational value as one taken in person is;
There is a 0.1997 or 19.97% chance that she has taken an online course before.
Answer:
A
Step-by-step explanation:
Add 3x^2 and 5x^2 now it = 8x^2
Add -8x and -4x = -12x
look at your answer choices the only one that has 8x^2-12x is A
Answer:
36$
Step-by-step explanation:
