Answer:
x = 20
Step-by-step explanation:
By exterior angle theorem, we have:
The answer is actually 7.0 because the lengths of the triangle are both going to be 5 and the hypotenuse is then 5 square root of 2 which is 7.07 so if you round it’s 7.0
The answer is true. A conditional probability is a measure
of the probability of an event given that (by assumption, presumption,
assertion or evidence) another event has occurred. If the event of interest is
A and the event B is known or assumed to have occurred, "the conditional
probability of A given B", or "the probability of A in the condition
B", is usually written as P (A|B). The conditional probability of A given
B is well-defined as the quotient of the probability of the joint of events A
and B, and the probability of B.
Answer:
y=8x-67
Step-by-step explanation:
So the question is what is the equation for the following two coordinate points?
Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.
With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.
y₂=5
y₁=(-11)
x₂=9
x₁= 7
Now let set it up into the equation of y over x
Slope = <u> 5- (-11) </u> = <u> 5 + 11 </u> = <u> 16 </u> = 8
9-7 9-7 2
So we now have the slope! Which is 8! So put that into the linear equation!
y=8x+b
Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)
(-11) = 8(7) + b
(-11) = 56 + b
<u>-56 -56</u>
-67 = b
We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!
y=8x-67
Answer:
12.94
Step-by-step explanation:
By the law of sines:
x / sin(35) = 7.9 / sin70
x = 7.9 * sin(70)/sin(35)
= 7.9 * 0.9397 / 0.5736
= 12.94
