Answer:x = 10
Explanation:In a parallelogram, each two opposite angles are equal in measure.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that the measures of these two angles are equal.
Therefore:
∠A = ∠C
2x + 50 = 3x + 40
50 - 40 = 3x - 2x
x = 10
We can check:
angle A = 2(10) + 50 = 70°
angle C = 3(10) + 40 = 70°
They are equal
Hope this helps :)
Answer:
10,000 vehicles.
Step-by-step explanation:
20 percent of 50,000 is 10,000.
Answer: Hello!
we have the function f(x) = IxI, and we want to write the formula if the function where we have the graph of f(x) translated left by 4 units.
Let's think it:
the graph of f(x) is like a V, where the vertix is at x = 0, then a translation to the left by 4 units mean that now the vertix is at x = -4, then in the new function, we have g( x = -4) = f(0)
This means that now we have
y = g(x) = f( x + 4) = Ix+4I
Always when you want a translation left by N units for the graph of f(x), you need to do:
y = g(x) = f( x +N)
and if the translation is to the right:
y = h(x) = f(x - N)
The test statistic for difference between two means is given by:
Thus, the appropriate test statistic is given by:
At 10% level of significance, the rejection region is given by
where:
for 10% level of significance is 1.65
Since z = 1.66 >
, we reject the null hypothesis, which means that <span>the traffic control strategy does not reduce carbon monoxide concentrations by at least 2 ppm.</span>