Answer:
see explanation
Step-by-step explanation:
Since the base angle are congruent, both 44° then the triangle is isosceles.
Then the 2 legs are congruent, that is
4x - 7 = 2x + 1 ( subtract 2x from both sides )
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus legs are both 4x - 7 = 4(4) - 7 = 16 - 7 = 9 and base = x + 3 = 4 + 3 = 7
As a check 9 + 9 + 7 = 25 → correct
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180 for y, that is
y = 180 - (44 + 44) = 180 - 88 = 92
Finally
x = 4
y = 92
angles are 92°, 44° and 44°
sides are 9, 9 and 7
Answer:
0.070 is the standard error of the mean weight in estimating a confidence interval estimate
Step-by-step explanation:
We are given the following in the question:
Sample mean, = 2.00 ounces
Sample size, n = 71
Alpha, α = 0.05
Population standard deviation, σ = 0.590 ounces
Formula for standard error =
Putting values, we get,
Thus, 0.070 is the standard error of the mean weight in estimating a confidence interval estimate
Answer:
g(x) = -1(x²)
Step-by-step explanation:
To reflect across the x-axis, you multiply your outputs by -1.
g(x) = (-1) f(x)
= -1 (x²)
<em>a=-1, h=0, k=0</em>
Answer:
Answer attached
Step-by-step explanation:
Complete Question:
Is the value of the fraction 7−2y/6 greater than the value of the fraction 3y−7/12 ? For what values?(Make sure to use an inequality)
Answer:
y < 3
Step-by-step explanation:
The given two fractions are:
and
We have to tell for which range of values is the value of first fraction larger than the second fraction. This can be done by setting up an inequality as shown:
The range of y which will satisfy this inequality will result in first fraction of larger value as compared to the second fraction.
Multiplying both sides of inequality by 12, we get:
This means, for y lesser than 3, the value of first fraction is larger than the second one.