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°
The correct display of the expression on a number line is number line (c)
<h3>How to determine the expression that shows how to rewrite 5 − 6 using the additive inverse?</h3>
The complete question is added as an attachment
The expression is given as:
5 - 6
Put 6 in a bracket.
So, we have:
5 - 6 = 5 - (6)
Express 6 as --6
So, we have:
5 - 6 = 5 - -(-6)
Rewrite as:
5 - 6 = 5 + (-6)
The above means that the arrow on the number line must start from 5 and moves in the negative direction in 6 units
The correct display of the expression on a number line is number line (c)
Read more about number lines at:
brainly.com/question/24644930
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Answer:
The odd function is written f (x) = (x) and rounds the odd numbers to the nearest integer.
The graph of f (x) = (x) includes the point (17/4), (7/2), (15/6)
Step-by-step explanation:
The odd function seeks to round odd numbers, with fractions of first odd numbers and then even by adding 3 to them.
since ten isn't to the power of anything it would be just 96
