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Answer:
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
Step-by-step explanation:
Let
x ----> represent the number of home runs Lu hit
y ---> represent the number of home runs Karrine hit
we know that
Together they hit 10 home runs
so
----> equation A
Karrine hit 4 more home runs than half the number of home runs Lu hit
so
---> equation B
substitute equation B in equation A

solve for x


Find the value of y

therefore
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
The expression for the angle m∠RST from the given bisctor is; 6x - 18
<h3>How to find the expression for a given angle?</h3>
From the given image in the attachment we are given that;
SQ bisects ∠TSR
m ∠RSQ = 3x - 9
Now, since SQ is a bisector of ∠TSR, we can say that
m∠RST = 2 * m∠RSQ
Thus angle RST is expressed as;
m∠RST = 2(3x - 9)
m∠RST = 6x - 18
Read more about Angle expression at; brainly.com/question/16953095
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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
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To find the surface area of a rect prism, you must times Length x Width + Height x Length + Height x Width.
So, your answer is
A= 174