Using the circle theorems, we have proven that m ∠RTW = 15°
<h3>Circle theorems </h3>
From the question, we are to prove that m ∠RTW = 15°
In the given diagram,
measure of arc ST = 30°
∴ m ∠SRT = 30°
m ∠SRT = ∠T + ∠W ( <em>Exterior angle of a triangle equals the sum of the two remote angles</em>)
Also,
∠T = ∠W (<em>Radii of the same circle</em>)
∴ m ∠SRT = ∠T + ∠T
m ∠SRT = 2 × ∠T
30° = 2 × ∠T
∠T = 30° /2
∠T = 15°
∴ m ∠RTW = 15°
Hence, we have proven that m ∠RTW = 15°
Learn more on Circle theorems here: brainly.com/question/27111486
#SPJ1
Answer:
15/15 aka 1
Step-by-step explanation:
9/15 and 2/5
keep the 9/15 and then denominator the bottom number has to be the same as the first one so multiply 5 times 3 to get 15 whatever you do to the bottom you have to do to the top so 2 times 3 equals 6.
9/15 and 6/15
9+6 equals 15
15/15 which then equals 1
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Answer:
Step-by-step explanation:
2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions
5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6
5*3 + 6x = 16*2
15 + 6x = 32 Subtract 15 from both sides.
6x = 32 - 15
6x = 17 Divide by 6
6x/6 = 17/6
x = 2 5/6
Check
5/2 + 17/6 = 16/3
15/6 + 17/6 = 32/6
32/6 = 32/6 The question checks.
Answer:
See below
Step-by-step explanation:
1. During which time period is Kelly's heart rate increasing? (1 point)
2. Using math, determine the exact rate of change for the increase (warm‐up). Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
Rate of change = Change in y / change in x
- (115 - 65)/(15-0) = 50/15 = 3.33
3. During which time period did Kelly's heart rate remain constant? (1 point)
4. Using math, determine the exact rate of change for this time period. Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
ROC = (115 - 115)/(35 - 15) = 0
5. During which time period did Kelly's heart rate decrease? (1 point)
6. Using math, determine the exact rate of change for the decrease (cool down). Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
ROC = (70 - 115)/(45 - 35) = - 45/10 = -4.5
7. Explain why your rate of change for the cool down period was a negative value. (2 points)
- Negative rate indicates drop in heart rate during cool down