A cube has sides that are 3cmlong The mass of the cube is 54g.Explain what is ment by mass
Mass is a fundamental property of matter that measures the amount of substance present in an object. In simple terms, it refers to the quantity of matter contained within an object. Mass is measured in units such as grams (g) or kilograms (kg).
A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure o (2x+3) and the other has a measure of (x - 6). What are the measures of the two angles that make up the straight line? (1 point)
125 and 55
129 and 51
186 and 88
O121 and 59
To find the measures of the two angles that make up a straight line, we can set up an equation:
(2x + 3) + (x - 6) = 180
Simplifying the equation, we have:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can substitute the value of x back into the expressions for the two angles:
Angle 1: 2x + 3 = 2(61) + 3 = 122 + 3 = 125
Angle 2: x - 6 = 61 - 6 = 55
Therefore, the measures of the two angles that make up the straight line are 125 and 55.
Two adjacent angles are on a straight line. One angle has a measure of (5x-28) and о the other angle has a measure of (8x)°. What is the measure of the second angle? (1 point)
120°
128°
16°
52°
To find the measure of the second angle, we need to set up an equation:
(5x - 28) + (8x) = 180
Combine like terms:
13x - 28 = 180
Add 28 to both sides:
13x = 208
Divide both sides by 13:
x = 16
Now we can substitute the value of x back into the expression for the second angle:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128°.
An obtuse angle is formed by two adjacent angles with measures (x-5)° and (3x) ˚. If the resulting angle measure is 107°, what is the angle measure of each of the two unknow angles? Round to the nearest whole number. (1 point)
20° and 87°
23° and 84°
28° and 79°
32° and 75°
To find the angle measures, we need to set up an equation:
(x - 5) + (3x) = 107
Combine like terms:
4x - 5 = 107
Add 5 to both sides:
4x = 112
Divide both sides by 4:
x = 28
Now we can substitute the value of x back into the expressions for the two angles:
Angle 1: x - 5 = 28 - 5 = 23
Angle 2: 3x = 3(28) = 84
Therefore, the angle measures are 23° and 84°.