Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
The exponential distribution is:

where

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.

where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:

Sub into conditional probability formula:

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
For this case, the first thing we must do is find the scale factor.
For this, we use one of the dimensions. We will use the width of the photo.
We have then:

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.
We have then:

Answer:
the new height will be:
d.168 inches
Step-by-step explanation:
If sine theta is 3/5, taking the sine inverse will give you 36.87°.
4tan theta is 4 × tan36.87 = 3
3sin theta = 3 × sin36.87 = 1.8
6cos theta is 6× cos36.87 = 4.8
Therefore, it becomes 3 + 1.8 - 4.8 = 4.8 - 4.8
The answer is 0
Answer:
The y intercept formula is
y= mx+b
m= slope
b= the number when the line crosses the y axis