Answer:
The measure of arc SQ is 95° ⇒ (1)
Step-by-step explanation:
- The measure of any circle is 360°
- The measure of the subtended arc to an inscribed angle is twice the measure of this angle
In the given circle
∵ S lies on the circumference of the circle
∴ ∠QSR is an inscribed angle
∵ ∠QSR is subtended by arc QR
→ By using the 2nd rule above
∴ m arc QR = 2 × m∠QSR
∵ m∠QSR = 95°
∴ m arc QR = 2 × 95
∴ m arc QR = 190°
→ By using the 1st rule above
∵ m of the circle = m arc QR + m arc SQ + m arc SR
∵ m arc SR = 75° and m arc QR = 190°
→ Substitute them in the equation above
∴ 360 = 190 + m arc SQ + 75
→ Add the like term in the right side
∴ 360 = 265 + m arc QS
→ Subtract 265 from both sides
∵ 360 - 265 = 265 - 265 + m arc SQ
∴ 95° = m arc SQ
∴ The measure of arc SQ is 95°
Find the LCD of both fractions and that is 45.
Make the denominators the same as the LCD
Simplify, now denominators are the same
join the denominators
simplify
Answer: 23/45
Answer:
60cm²
Step-by-step explanation:
The area of a rhombus is: A=d1×d2/2, where d1 and d2 are its diagonals.
A=10×12/2=60cm²
Answer:
Solving the inequality 
we get 
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality and find value of x
Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.
Adding 2 on both sides
Now, we will divide 3 on both sides
So, we get x < 2
Solving the inequality we get
Option D is correct option.
Answer:
6x+36=180
6x=144
x=24
Step-by-step explanation:
this is the correct answer
