Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write

Hence then value of x=-1.
2x + 3y = 6
Put this into y=mx+b form (which is also called slope-intercept form)
Where m=slope and b=y-intercept
In order to put this into slope-intercept form, we simply need to subtract 2x from both side.s
3y = 6 - 2x
Then, divide both sides by 3 so that we fully isolate y.
3y ÷ 3 = (6 - 2x) ÷ 3
Simplify.
y = 2 - 2/3x
Put this into order by moving "x" onto the correct place.
y = -2/3x + 2
Therefore -2/3 is the slope, as it is in the "m" spot.
Hope I helped! :)
We assume the monetary amount is a number such that the hundredths place represents a penny. (It's not billions of dollars, for example.)
45.67×32.58 = 1,487.9286 ≈ 1,487.93
_____
Any calculator can give you the product. Most will round the number for you if you specify a 2 decimal digit display.
The thousandths digit of the product (8) is more than 4, so the hundredths digit (2) is increased by 1 (to 3) as the digits to its right are dropped.
Answer:
d
Step-by-step explanation:
cannot be a or c cause it has a negative sign in front of it causing it to reflect over y axis. Cannot be B cause it doesn't have two coefficients with X. I also graphed it.
Hello there,
The outlier of the data set is 92. Lets first find everything with the outlier.
Mean: 60.08
Median: 57
Mode: 52
Range:46
Now let's take out the outlier of the set and see the difference.
Mean: 54.27
Median:56
Mode: 52
Range: 15
So as we can see without the outlier everything is closer together. The outlier shouldn't be included because that makes the entire set screwed up. The data is more accurate without the outlier.
Hope this helps!