Which of the following points are solutions to the system of inequalities shown below?

Mathematics

2 answers:

Paraphin [41]3 years ago

4 0

A and e are the answers

pychu [463]3 years ago

3 0

This is easy, love. It's E

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The triangles are congruent by the SSS congruence theorem.

NISA [10]

The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

The correct option is (B).

<h3>What is Translation?</h3>

Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.

given:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

Learn more about this concept here:

brainly.com/question/4280065

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4 0

2 years ago

Find the sum of all 3 digit whole numbers that arw divisible by 13 ?

GuDViN [60]

We have an arithmetic sequence with

a0 = 1st 3-digit number divisible by 13 
a0 = 104 
d = 13 (why?) 
last term is largest divisible by 13 = 988 
how many terms? (988-104)/13 + 1 = 69 

S = 69/2(104+988) = 37674

7 0

3 years ago

A basketball player makes 70% of the free throws he shoots. Suppose that he tries 15 free throws.

Volgvan

Answer:

a.) .95

b.) The expected number of baskets is 10.50.

c.) 1.7748

Step-by-step explanation:

a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.

b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.

c.) The standard deviation of a binomial distribution can be calculated by the formula $\sqrt{(sample size)(probability)(1-probability)}$ . Plugging in the numbers you get $\sqrt{(15)(.7)(.3)}$ =1.7748.