The length of AD is 32 feet
Step-by-step explanation:
An architect is sketching a blueprint of a patio for a new fence
- On the blueprint, C is the midpoint of segment AD
- Point B is the midpoint of segment AC
- BC = 8 feet
We need to find the length of AD
A mid-point divides a line segments into two equal parts in length
∵ C is the mid-point of AD
- The mid-point C divides the line segments AD into two equal parts
∴ AC = CD
∵ B is the mid point of AC
∴ AB = BC
∵ BC = 8 feet
∴ AB = 8 feet
- AC contains AB and BC
∵ AC = AB + BC
∴ AC = 8 + 8 = 16
∵ AC = CD
∵ AC = 16
∴ CD = 16
- AD contains AC and CD
∵ AD = AC + CD
∴ AD = 16 + 16 = 32
The length of AD is 32 feet
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Answer:
-8748
Step-by-step explanation:
(6^2)(-3^5)
(6 x 6)(-3 x-3 x-3 x -3 x -3)
(36)(-243)
36 x -243
-8748
Answer:
Unbiased
Step-by-step explanation:
If b^ is equal to B this means that it is an unbiased estimator. When there is an absence of bias, we have an unbiased estimator. As an unbiased estimator it gives accurate information most of the time. The result it gives is not over estimated and also it is not underestimated.
Expected value = true value
Parameter estimates are correct on average
Thank you
Answer:
Step-by-step explanation:
18x² + 2 = 2 * 9x² + 2 *1
= 2*(9x² + 1)
Answer:
A.
by the SAS postulate.
Step-by-step explanation:
We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.
We can see that side DF of triangle DEF is equal to side AC of triangle ABC.
We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.
The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.
Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.