Answer:
∠CBD = 4(4) + 52°
= 16° + 52°
<u>= 68°</u>
Step-by-step explanation:
Given that,
∠ABC = 8x - 10°
∠CBD = 4x + 52°
Also,
∠ABD = 90°
∠ABD = ∠ABC + ∠CBD
∠ABD (90°) = (4x + 52°) + (8x - 10°)
∠ABD (90°) = 4x + 52° + 8x - 10°
∠ABD (90°) = (4x + 8x) + (52° - 10°)
∠ABD (90°) = 12x + 42°
90° - 42° = 12x
48° = 12x
= x
4° = x
∠CBD = 4x + 52°
∴ ∠CBD = 4(4°) + 52°
= 16° + 52°
= 68°
Answer:
meters
Step-by-step explanation:
The bathroom is in the shape of a square. The area of square is given as:

Where
s is the length of the side
We know area is 100, thus:

The side length of the square is 10 meters.
The distance from one corner to another corner is known as the "diagonal".
We use the formula below to get the distance of the diagonal:

Where
d is the length of diagonal
s is the length of side [here, 10]
THus, length of diagonal is:
meters
Answer:
No
Step-by-step explanation:
Two samples are matched pairs if the samples are dependent sample. All the attributes or characteristics of these samples are the same except the one thing which we need to study or experiment.
The given samples are independent samples. So, these these two sample are not matched pair samples. Such samples cannot be used to perform the paired sample t test. For this test the samples must always be dependent.
Example of dependent or matched pairs samples under given scenario would be like:
The instructor teaches a section in one semester using the computer homework system and in the next semester he teaches the same section using the paper and pencil homework system.
Usually the pairs in matched pairs are the same people just at different time, as stated in the previous example.
Answer: I'm not sure about the mixed number but the fraction is 923/5000

You are taking two times a number, which is defined as x. That is equivalent to 2x. Then, you are adding three more to that product.