Answer:
These two figures are similar because
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is
, and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
Answer:
vertical angles
Step-by-step explanation:
<h3>
Answer: B) no solutions</h3>
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Explanation:
Let's isolate the variable y in the first equation
-2x - y = 1
-2x = 1 + y
1+y = -2x
y = -2x-1
Then we'll plug this into the second equation
-4x - 2y = -1
-4x - 2(-2x-1) = -1
-4x + 4x + 2 = -1
0x + 2 = -1
0 + 2 = -1
2 = -1
We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.
Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.
240,000 written as a
whole number multiplied by a power of ten:
In the provided number
240,000 if we want to multiply this number by a power of ten then it would be
like 240,000 raised to the power of 10
<span><span>1. </span>In which clearly stating
that 240,000 shall multiply itself by 10 times in 240,000.
</span>
<span><span>2. </span>Hence 240, 000^10 in
numerical form</span>
<span><span>
3. </span>The result is 6.340338097x10^53</span>
<span><span>
4. </span>It seems like the
product is a lot bigger and capsized itself to a smaller scientific reading but
its still big in value because of the its current 53 power.</span>
Hope this helps!
6(x-2.5) ≥ 8-6(3.5+x)
A number is before a parenthesis. The first step is to multiply.
6(x-2.5) = 6x -15
8-6(3.5+x)
2(3.5+x)= 7+2x
6x-15≥7+2x
Now solve
6x-15≥7+2x
-2x -2x
(-2x+2x)= They cancel out
(6x-2x)= 4x
4x-15≥7
+15 +15
4x≥22
/4 /4
You get= x≥5.5