In a triangle, the three interior angles always add to 180°
5x + 7x + 8x = 180
20x = 180
x = 180/20
x = 9
m∠1 = 5x = 5*9 = 45°
m∠2 = 7x = 7*9 = 63°
m∠3 = 8x = 8*9 = 72°
Answer:
45°, 63° and 72°
y=x
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Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
Step-by-step explanation:
3/4x + 5/8 = 4x/1
5/8 = 4x/1 - 3/4x
5/8 = 16x^2 - 3/4x
5/8 = 4x - 3/1
5/8 = 4x - 3
Cross multiply
8(4x - 3) = 5
32x - 24 = 5
32x = 5 + 24
32x = 29
X = 29/32
Answer:
6 quizzes
Step-by-step explanation:
3 divided by 6 is 2 so 2 quizzes per week. attending two more weeks would add 4 more quizzes. By now mandy will have taken 6 quizzes in five weeks.
