Answer:
least common denominator=6
Step-by-step explanation:
For the fractions, 1/3 and 1/6th, 3*2=6. making the fraction 2/6 and leaving the other the same 1/6th.
The number line M-N is from 0 - 9.
2/3 of the way will be the same as 9 x 2/3
That equals 18/3 which reduces to 6.
6 is the coord 2/3 across the numberline from 0 to 9.
Answer: 2x+9>17 or 5x+10<10 compound inequalities is x<0
Step-by-step explanation:
What is Meant by Compound Inequality?
In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.
2x+9>17 or 5x+10<10
Let take 2x+9>17
Subtract -9 on both sides
2x+9-9>17-9
2x+0>8
2x>8
Now we need to divide by 2 both sides
2x÷2>8÷2
x>4
Now we solve 5x+10<10
we need to subtract -10 on both side
5x+10-10<10-10
5x+0<0
5x<0
Now we need to divide 5 on both sides
5x÷5<0÷5
x<0
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The edge length that can be found is 6 cm
The block will not fit in the square hole.
<h3>How to find the volume of a cube?</h3>
We are given that the volume of a cube-shaped block is 216 cubic centimeters.
Thus;
V = 216 cubic centimeters.
Now, volume of a cube = a³
where x is an edge length
Thus;
a³ = 216
a = ∛216
a = 6 cm
The edge length that can be found is 6 cm
b) To know if the block will fit into the square hole, we need to find the area of one side of the block
Area of one side of block = 6 * 6 = 36 cm²
This is greater than the area of the square hole and as such the block will not fit in the square hole
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Answer:
x= 3
Step-by-step explanation:
∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)
(25x)° +(57 +x)°= (45x)°
25x° +x° +57°= 45x°
26x° +57°= 45x°
45x° -26x°= 57°
19x°= 57°
x°= 57° ÷19
x°= 3°
∴ x= 3
Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.