An irrational number is one that can’t be expressed as a simple fraction.
For instance, the first few digits of the square root of two is written as 1.414213562373095... The digits keep going and cannot be expressed as a fraction. But think of 0.33333... That can easily be written as one-third. The distinguishing feature is that there’s no pattern in the digits for the square root of two.
The first two options are integer fractions. We rule those out immediately. The square root of four is tempting, but realize that it is just equal to two. We come to π (pi).
Arguably the most famous irrational number is π, which starts off as 3.14159265358979... Here, there is again no pattern and the digits extend forever. This meets our definition of our irrational.
U could easily do this on Photo-math- but here: 6(x−3)
Step 1) Multiply 2 by 3
<em>5x+6 = 2x+3x+6</em>
Step 2) Combine like terms
<em>5x+6 = 5x+6</em>
Step 3) Add 5x and 6 to both sides
Answer:
<em>0 = 0</em>
Answer:
V=144
Step-by-step explanation:
To find the volume of a pyramid, use the formula V=B•h, B being the base and h the height. So 12•12=144.
Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
