Answer:
Angle MON is 98°
Step-by-step explanation:
The measure of the straight angle is 180°
∵ ∠LON is a straight angle
∴ m∠LON = 180°
∵ Ray OM intersects line LN at O
∴ OM divides ∠LON into two angles ∠LOM and ∠MON
∴ m∠LOM + m∠MON = m∠LON
- Substitute m∠LON by 180°
∴ m∠LOM + m∠MON = 180°
∵ m∠LOM = 8 x + 58
∵ m∠MON = 3 x + 89
- Substitute them in the equation above
∴ (8x + 58) + (3 x + 89) = 180°
- Add the like terms in the left hand side
∴ (8 x + 3 x) + (58 + 89) = 180°
∴ 11 x + 147 = 180
- Subtract 147 from both sides
∴ 11 x = 33
- Divide both sides by 11
∴ x = 3
Substitute the value of x in the measure of angle MON to find it
∵ m∠MON = 3(3) + 89
∴ m∠MON = 9 + 89
∴ m∠MON = 98°
Answer:
The fractions are equivalent.
Step-by-step explanation:
2/4 can be simplifyed as 1/2 meaning they are equivalent.
Answer:
4 inches
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
64 = s^3
Take the cube root of each side
(64)^ 1/3 = (s^3) ^1/3
4 = s
6.506875 is the answer because 7.25% out of 100 is .0725 and 89.75 times that is 6.506875
9514 1404 393
Answer:
x = √(w(w+z))
Step-by-step explanation:
The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.
BC/AC = DC/BC . . . . . short side/hypotenuse
BC² = AC·DC . . . . . . cross multiply
x² = (w+z)w . . . . . . substitute letter values
Taking the square root and rearranging to the form of the applicable answer choice, this is ...
