Use triangle ABC below to answer the question that follows:

Mathematics

2 answers:

hoa [83]3 years ago

6 0

That would be (1) A+B=180-C. It's true but not useful for the proof.

AnnyKZ [126]3 years ago

3 0

Answer: Choice 1) The sum of the angles A and B are supplementary to angle C

Why is this the answer? Because we'll use facts 2 through 4 to help prove the triangles similar. If fact 2 is true, then fact 3 leads to helping set up the congruent corresponding angles (either A = D or C = E). Fact 4 is true because all angles are congruent to themselves, and this fact is the other angle pair we need to prove the triangles similar.

We don't use fact 1 even though it's a true statement. The fact that A+B+C = 180 isn't really useful to compare across two triangles.

You might be interested in

Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvi

lbvjy [14]

The answer is 6hours in 122 minutes do umknow

4 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$