Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
= 
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a = 
≈ 21.8 ( to the nearest tenth )
Answer:
The top angle of the triangle is, X = 68°.
Step-by-step explanation:
Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.
Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.
In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°
⇒ 31° + 81° + X = 180°
⇒ X = 68°
Therefore, the top angle of the triangle is 68°. (Answer)
Robin has to go shopping for her brother's birthday.
She already bought "x" presents for him.
The next day, Robin bought "2" more presents for him just in time for his birthday.
When she got home and celebrated his birthday, her beother opened, in total, "9" presents.
--- What is the number of presents that Robin had originally purchased? ---
Answer:
x = ±5
Step-by-step explanation:
x² - 25 = 0
x² = 25
√x² = √25
x = ±5
Check:
5² - 25 = 0
-5² - 25 = 0
25 - 25 = 0
