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We know: The sum of the measures of the angles of a triangle is equal 180°.
We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.
The equation:
65 + (3x - 10) + 2x = 180
(3x + 2x) + (65 - 10) = 180
5x + 55 = 180 <em>subtract 55 from both sides</em>
5x = 125 <em>divide both sides by 5</em>
x = 25
m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°
m∠C = (2x)° → m∠C = (2 · 25)° = 50°
<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>
Answer:
8
Step-by-step explanation:
total number of pencils = 186
number of students = 23
number of pencils each student gets = number of pencils ÷ number of pencils
=186/23
=8.08
so each student gets 8 pencils
Solution :
Transforming given equations :

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .
Hence, this is the required solution.
Answer
(97, 73), x = 97
(13, -81), y = -81
(-91, -26) y = -26
(74, 25), x = 74
Step-by-step explanation
if it has an undefined slope, it is a vertical line with the equation x = (x value)
if it has a 0 slope, it is a horizontal line with the equation y = (y value)
undefined slope through (97, 73)
the x value is 97
x = 97
slope of 0 through (13, -81)
the y value is -81
y = -81
slope of 0 through (-91, -26)
the y value is -26
y = -26
undefined slope through (74, 25)
the x value is 74
x = 74