Answer:
5. B) x = 7
6. D) 35°
7. C) 67°
8. A) 142°
Step-by-step explanation:
5. Inscribed angle of a semicircle is equal to 90°. Therefore,
16x - 22 = 90
Solve for x
16x - 22 + 22 = 90 + 22
16x = 112
16x/16 = 112/16
x = 7
6. Recall: inscribed angle = ½(intercepted arc)
3x - 1 = ½(8x - 26)
2(3x - 1) = 8x - 26
6x - 2 = 8x - 26
Collect like terms
6x - 8x = 2 - 26
-2x = -24
-2x/-2 = -24/-2
x = 12
m<LMN = 3x - 1
Plug in the value of x
m<LMN = 3(12) - 1 = 36 - 1
m<LMN = 35°
7. Recall: inscribed angle = ½(intercepted arc)
Therefore,
4x + 28 = ½(11x - 1)
2(4x + 28) = 11x - 1
8x + 56 = 11x - 1
Collect like terms
8x - 11x = -56 - 1
-3x = -57
-3x/-3 = -57/-3
x = 19
Arc BC = 360° - (Arc AC + Arc AB) (Full circle)
Substitute
Arc BC = 360 - (11x - 1 + 85)
Plug in the value of x
Arc BC = 360 - (11*19 - 1 + 85)
Arc BC = 360 - (209 - 1 + 85)
Arc BC = 360 - 293
Arc BC = 67°
8. Inscribed angles intercepted by the same arc are equal. Therefore,
8x - 41 = 5x + 1
Collect like terms
8x - 5x = 41 + 1
3x = 42
3x/3 = 42/3
x = 14
5x + 1 = ½(arc PS) => inscribed angle = ½ of intercepted arc
2(5x + 1) = arc PS
Plug in the value of x
2(5*14 + 1) = arc PS
2(70 + 1) = arc PS
2(71) = Arc PS
Arc PS = 142°
Okay, so you know that something minus 20% of its total will equal 75%. You can set up an equation:
X - 0.2X = 75
0.8X = 75
X = 93.75 ,
meaning that the original price was $93.75
The number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
<h3>What is a graph?</h3>
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
Given on Monday the shop sold 18 eggs. Therefore, each quarter of the circle represents 3 eggs.
Hence, the number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
Learn more about Graph:
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6% = 0.06
The total cost of a $12.50 item plus 6% sales tax :
$12.50 * 1.06 = $13.25
Answer
$13.25
Answer:Do you mean find p? If so then p+10 = 90 - 49, so p = 31°. Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129° (The 41 comes from the first p+10, i.e. 31+10 = 41),
Check:
Step-by-step explanation:
