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°
There are 3 girls & 4 boys.
Each student makes 8 paper airplanes.
Amount of paper airplanes created by girls: 3 x 8 = 24
Amount of paper airplanes created by boys: 4 x 8 = 32
Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56
~
Answer:
x = 8
Step-by-step explanation:
30x = (60)(40)
30x = 240 Multiply 60 and 40
x = 8 Divide 30 from both sides
Answer:
x = - 
Step-by-step explanation:
(x - 3) - 5 = 
(x - 1)
Multiply through by 8 to clear the fractions
6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side
6x - 18 - 40 = x - 1
6x - 58 = x - 1 ( subtract x from both sides )
5x - 58 = - 1 ( add 58 to both sides )
5x = - 57 ( divide both sides by 5 )
x = -
Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
