Answer:
Step-by-step explanation:
9(3−2x)=2(10−8x)
Step 1: Simplify both sides of the equation.
9(3−2x)=2(10−8x)
(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)
27+−18x=20+−16x
−18x+27=−16x+20
Step 2: Add 16x to both sides.
−18x+27+16x=−16x+20+16x
−2x+27=20
Step 3: Subtract 27 from both sides.
−2x+27−27=20−27
−2x=−7
Step 4: Divide both sides by -2.
−2x
−2 = −7
/−2
x=
7/
2
Answer:
x=
7/
2
like terms include terms that you can add/sub/mult/div - certain terms..
for example 23 and 7 are like terms, 4x and 56x are like terms....
here-> 12 and 3 are like terms so you can put them together:
12 + 3 - 4x
then you can simplify it:
15 - 4x is your answer (most simplified)
Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have
----> the radius is half the diameter

assume 
substitute the values and solve for h


B.) thousandths because the first one is tenths and the second is hundredths. Also because it is after the decimal
Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm