140° + ∠5 = 180° <em>same side interior angles </em>⇒ ∠5 = 40°
∠2 ≅ ∠5 <em>vertical angles ⇒ </em>∠2 = 40°
∠8 = 53° <em>alternate interior angles</em>
∠3 ≅ ∠8 <em>vertical angles ⇒ </em>∠3 = 53°
x + ∠2 + ∠3 = 180° <em>triangle sum theorem</em>
x + 40° + 53° = 180°
x + 93° = 180°
x = 87°
Answer: 87°
Note: I just realized that there is an easier way to solve this:
∠9 + 53° + x = 180° <em>triangle sum theorem</em>
140° + ∠9 = 180° <em>supplementary angles </em>⇒ ∠9 = 40°
40° + 53° + x = 180°
x + 93° = 180°
x = 87°
Use whichever solutions makes sense to you.
$6.41
Step-by-step explanation:
$42.75 x 15% (which is .15) = $6.41 is the tip
Answer:
1kg ghee is left behind
Step-by-step explanation:
Here, we are to calculate the amount of ghee left.
Firstly, 2/4 was consumed for preparing medicine. This is same as 1/2
The amount used in preparing medicine is thus 1/2 * 20kg = 10kg
amount remaining = 20kg - 10kg = 10kg
She also use 2/5 and 1/2 of the remainder.
The total amount used is 2/5 + 1/2 = 9/10
The amount used is thus 9/10 * 10 = 9kg
what is left is thus 10kg -9kg = 1 kg
Answer:
idk
Step-by-step explanation:
