Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
Answer:
- 5
Step-by-step explanation:
Note that - (- 12) = + 12
Thus
- 17 - (- 12) = - 17 + 12 = - 5
It looks like Tom subtracted 12 from - 17, that is - 17 - 12 = - 29
Answer:
D: 0.05
Step-by-step explanation:
Since the question says UNLIKELY, it would be the smallest number, which is 0.05 in this case.
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12,
σ = 5000
degrees of freedom = n-1 = 12-1 = 11

Formula to find the value of z is: 
Where
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.


Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
The product is negative 81 t squared + 16 ⇒ 2nd answer
Step-by-step explanation:
The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant
- Multiply (ax) by (cx) ⇒ 1st × 1st
- Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
- Add the two products ⇒ like terms
- Multiply (b) by (d) ⇒ 2nd × 2nd
Let us find the product of (9 t - 4) and (-9 t - 4)
Multiply the 1st two terms
∵ (9 t)(-9 t) = -81 t²
Multiply the ext-reams
∵ (9 t)(-4) = -36 t
Multiply the nears
∵ (-4)(-9 t) = 36 t
Add the like terms
∵ -36 t + 36 t = 0
Multiply the 2nd two terms
∵ (-4)(-4) = 16
Write the answer
∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16
∴ (9 t - 4)(-9 t - 4) = -81 t² + 16
The product is -81 t² + 16
Learn more:
You can learn more about the product of algebraic expressions in brainly.com/question/1617787
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