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Answer: 14 red, 7 green, 44 blue
Step-by-step explanation:
First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.
Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).
To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.
To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.
Answer:
<em>No, there are no inscribed angle in this diagram; Option D</em>
Step-by-step explanation:
<em>~ Let us apply process of elimination to solve this problem ~</em>
Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.
Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.
Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.
Option 4. Through elimination, Option D is the only possible answer left: <em>Answer: No, there are no inscribed angle in this diagram</em>
<em>Answer:</em>
<em>20</em>
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<em>Step-by-step explanation:</em>
<em>f(x) = ((2 • 32) - 3) + 5</em>
<em>f(x) = ((2•32) - 3) + 5</em>
<em>f(x) = 20</em>
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<em>If this was helpful, mark brainliest. Have a beautiful day!</em>
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