The answer for this problem is that x = 60°, or B.
We can solve this problem by using our knowledge of quadrilaterals. In this problem, we need to know that the number of degrees in a quadrilateral is equal to 360, but, the formula to find the number of degrees in a polygon with n sides is (n-2) * 180.
Now that we know that the sum of the angles if 360°, we can add all the angles and solve for x. The angles with the squares are 90°.
2x° + x° + 90° + 90° = 360°
Get x by itself, combine like terms.
3x° + 180° - 180° = 360° - 180°
3x° = 180°
x = 60°, or B.
Answer:
y = 13
z = 11
Step-by-step explanation:
14. We know that if the two triangles are congruent, then the hypotenuses will be the same. So we can say that
6y = 5y + 13
We can solve for y by subtracting 5 y from both sides and find out that y = 13.
15. Again, we know if the triangles are congruent then the two shorter legs will be the same, so we can say that:
3z = z + 22
2z = 22
z = 11
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Factorize both the numerator and denominator then equate to zero ...you'll get X
3* 3.14
= 9.42
9.42 * 2
= 18.84
* (4+3)
= 131.88 cm.
Glad to help! :D
