Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A <u>cyclic quadrilateral</u> is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The <u>opposite angles</u> in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
- m∠Q = 68°
- m∠R = (3x + 40)°
- m∠T = (5x - 52)°
<u>Measure of angle Q</u>
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
<u>Measure of angles R and T</u>
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Answer:
x= 1/3
Step-by-step explanation:
simplify so you can isolate x quicker: 2x-5=5x-6
subtract 2x from both sides: -5=3x-6
add 6 to both sides: 1=3x
divide both side by the 3 to isolate x: 1/3=x
Answer:
5 divided by 6/7 = 35/6 = 5 5/6
Step-by-step explanation:
legth*width=area so area/length=width
The probability of her winning a game would be 5/9 because if she loses 4/9 games then 5/9 games must be wins.
Answer:
2 2/3
Step-by-step explanation: