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2 years ago

Please help me asap.

Mathematics

1 answer:

Damm [24]2 years ago

3 0

Answer:

42.1 degrees

Step-by-step explanation:

- since we have a opposite/hypotenuse ratio, that means we used sin x = o/h

- this means, sin x = 0.67

so, x = $sin^{-1$ (0.67) {sin inverse}

x = 42.06 degrees, i rounded it up to 42.1 but its up to you (or according to the question)

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What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines

ICE Princess25 [194]

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: $\angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC$ .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: $\triangle ABC\cong \triangle CDA$ .

Reason: SSS criterion for congruence.

5.Statement: $AB\cong CD, BC\cong AD$ .

Reason: Given .

6.Statement: $AB\parallel CD, BC\parallel AD$ .

Reason: By definition of parallelogram.

7.Statement: $\angle BAC\cong \angle ACD$ .

Reason: Alternate Interior Angles Theorem.

7 0

2 years ago

A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe

dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability that all students pass in a class:

Class of 8 students, which means that $n = 8$

Each student has a 95% chance of passing their class independent of the other students, which means that $p = 0.95$

This probability is P(X = 8). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634$

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that $n = 2$

0.6634 probability all students pass in a class, which means that $p = 0.6634$ .

This probability is P(X = 1). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466$

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0

2 years ago

Laura answered 27 questions correct on a test on her test and scored 90%. How many questions where on the test?

Nadya [2.5K]

The number of questions in the test is 30

Step-by-step explanation:

Let's call the total number of questions in the test N.

We know that Laura answered 27 questions, and these 27 questions represent the 90% of the test.

Therefore, we can say that 27 is the 90% of N.

Re-writing the percentage as a fraction,

$90\% = 0.90$

This means that:

$0.90 N = 27$

And now we can solve for N to find the number of questions in the test:

$N=\frac{27}{0.90}=30$

Learn more about percentage:

brainly.com/question/82877

brainly.com/question/1834017

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8 0

2 years ago

If (4,y) is a solution to x-2y = 6, what is the value of y?

frutty [35]

Answer:

(4, -1)

Step-by-step explanation:

(4, y) is a solution to x - 2y = 6.

Find the value of y:

$4-2y=6\\\\4-4-2y=6-4\\\\-2y=2\\\\\frac{-2y=2}{-2}\\\\\boxed{y=-1}$

The value of y is '-1'.

(4, -1) is a solution to the equation.

Hope this helps.

5 0

2 years ago

HELP ME PLEASE!!!

Kobotan [32]

Answer:

$x=2 , y=1$

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

$5(3y-1)+10y=20$

Now solve for y.

$y=1$

Now plug y back into the bottom equation and solve for x.

$x=3(1)-1$

$x=2$

8 0

2 years ago