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trasher [3.6K]
3 years ago
7

Please answer... I will mark you brainliest and please list steps of how to solve the problem

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

Answer: (1: 70 degrees) (2: 110 degrees) (3: 35 degrees)

Step-by-step explanation:

For the first triangle, we know that the angles in total add up to 180 degrees. You already know two angles (40 and 70).

Let's, for now, label angle 1 as x.

40 + 70 + x = 180, since the sum of the angles add up to 180

110 + x = 180, no problems right?

110 - 110 + x = 180 - 110

x = 70

Now there's angle 2.

Let's label angle 2 as y.

We know angle 1 by now, and we should know that y + 70 = 180, since the two angles form a line together. A line is always 180 degrees.

y + 70 = 180

y + 70 - 70 = 180 - 70

y = 110

Now there's the last angle, angle 3

Let's label angle 3 as z

Repeating what we did for angle 1, we already know two angles (110 and 35)

110 + 35 + z = 180

145 + z = 180

145 - 145 + z = 180 - 145

z = 35

There you have it! The answer, but this was the long way. The short way is much simpler, but harder to teach without a one-on-one lesson.

Don't forget units!

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Suppose that a company prints baseball cards. They claim that 30% of the cards feature rookies, 60% feature veterans, and 10% fe
liraira [26]

Answer:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

Step-by-step explanation:

On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

And in order to test it we need to have observed and expected values. On this case we  can calculate the Expected values like this

E_{rookies}=50*0.3=15

E_{veterans}=50*0.6=30

E_{All stars}=50*0.1=5

The observed values are not provided. The statistic on this case is given by:

\chi^2 =\sum_{i=1}^n \frac{(O_i) -E_i}{E_i}

And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.

We can calculate the p valu like this:

P(\chi^2 > \chi^2_{calculated})=p_v

And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.

5 0
3 years ago
In triangle ABC, E is the midpoint of AC and D is the midpoint of CB. if DF is parallel to BE, find the length of side AB.
ankoles [38]
Δ FCD is a right triangle ( 3² + 4² + 5² ).
10 : EB = 5 : 3
5 EB = 30
EB = 6
With Pythagorean theorem:
CE² = 10² - 6² = 10 - 36 = 64
CE = 8
ED = 5
AB = 2 · 5 = 10
Answer: The length of the side AB is 10. 
5 0
3 years ago
Read 2 more answers
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Elanso [62]
It should be the third one down.
7 0
4 years ago
Read 2 more answers
Solve for x. x/4 = 3/8 A) 2/3 B) 3/2 C) 3/32 D) 7/8
otez555 [7]
X/4 = 3/8 
multiply both sides by 4 to isolate the variable

x = 3/2

The correct answer is B) 3/2.

3 0
4 years ago
Plz help!<br><br> According to the graph, what are the domain and range of f(x)
notsponge [240]

Answer:

Domain: [0, 40]

Range: [0, 20]

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)
  • Range is the set of y-values that are outputted by function f(x)
  • Interval Notation - [a, b] denotes inclusive, (a, b) denotes exclusive

Step-by-step explanation:

According to the graph, we see that our x-values span from 0 to 40. Since both are closed dots, they are included in the domain:

Interval Notation [0, 40]

Inequality Notation 0 ≤ x ≤ 40

According to the graph, we see that our y-values span from 0 to 20. Since both are closed dots, they are included in the range:

Interval Notation [0, 20]

Inequality Notation 0 ≤ y ≤ 20

8 0
3 years ago
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