Use the figure below to answer both parts to Question 3. In the figure shown, l1 ∥ l2. If m∠8=105°, determine the measures of the two indicated angles.
Question 3a: What is the measure of m∠1?
Question 3b: What is the measure of m∠6?

Answer:

The choice A.

Step-by-step explanation:

sin= Opposite/ hypotenuse

[tex] \sin(30) = \frac{ \sqrt{15} }{x} \\ \\ x = 2 \sqrt{15} [/tex]

tan = opposite/adjacent

[tex] \tan(30) = \frac{ \sqrt{15} }{y} \\ \\ y = 3 \sqrt{5} [/tex]

I hope I helped you^_^

Answer:

y--4=-4/3(x-6)

Then, y+4=-4/3(x-6).

Using the combination formula, it is found that the committee can be selected in 1,211,760 ways.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

They are independent, so we can just multiply them, thus:

[tex]T = C_{18,2} \times C_{12,2} \times C_{10,3} = \frac{18!}{2!16!} \times \frac{12!}{2!10!} \times \frac{10!}{3!7!} = 1211760[/tex]

The committee can be selected in 1,211,760 ways.

A similar problem is given at https://brainly.com/question/24650047

Answer:

-3x -4

Step-by-step explanation:

did the test

Answer:

38 yards because you add all them together

Step-by-step explanation:

[tex]y - [ - x - (y + 15)] \\ = ( - 9) - [ - (18)- (( - 9) + 15)] \\ = ( - 9) - [ - (18)- ( 6)] \\ = ( - 9) - [ - 24] \\ = - 9 + 24 = \boxed{15} \\ \\ - 6(x - 2) - 5(x + 7) \\ = - 6x + 12 - 5x - 35 \\\boxed{ = - 11x - 23 }\\ \\ \frac{3}{4}( 4x + \frac{4}{3} ) = 4x \\ 3x + 1 = 4x \\ 4x - 3x = 1 \\ \boxed{ x = 1}[/tex]

Answer:

25

Step-by-step explanation:

30=17+x-12

The equation that is correct is 11.11 = 11² = 121. The correct answer is the fourth option: 11 dot 11 equals 11 Superscript 2 equals 121 (11.11 = 11² = 121)

From the question,

We are to determine which of the options is correct.

To determine which of the options is correct, we will evaluate the options one after the other.

8 dot 8 equals 8 Superscript 2 equals 16

That is,

8.8 = 8² = 16

Evaluating properly

8.8 = 8² = 8 × 8 = 64

Then, 8.8 = 8² ≠ 16

∴ This is NOT correct

9 dot 9 equals 2 left-parenthesis 9 right-parenthesis equals 18

That is,

9.9 = 2(9) = 18

Evaluating properly

9.9 = 9 × 9 = 9² = 81

Then, 9.9 ≠ 2(9) = 18

∴ This is NOT correct

10 dot 10 equals 2 left-parenthesis 10 right-parenthesis equals 100

That is,

10.10 = 2(10) = 100

Evaluating properly

10.10 = 10 × 10 = 10² = 100

Then, 10.10 ≠ 2(10) ≠ 100

∴This is NOT correct

11 dot 11 equals 11 Superscript 2 equals 121

That is,

11.11 = 11² = 121

Evaluating properly

11.11 = 11² = 11 × 11 = 121

Then, 11.11 = 11² = 121

This is correct.

Hence, the equation that is correct is 11.11 = 11² = 121. The correct answer is the fourth option: 11 dot 11 equals 11 Superscript 2 equals 121 (11.11 = 11² = 121)

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Refer to the Attachment.

Refer to the attachment

Answer:

a. Elsa's total change of her stocks is $448.

b. The change of the club's size each week was -5 members.

Step-by-step explanation:

a. The value of one share increased by 8 dollars. Elsa has 56 shares of that certain stock.

Given the information above, multiply [tex]56[/tex] × [tex]8[/tex] to find the total change in her stocks.

[tex]56[/tex] × [tex]8=448[/tex]

b. 30 members left a club on 6 weeks.

Given the information, divide [tex]-30[/tex] ÷ [tex]6[/tex] to find the amount of members leaving the club per week.

[tex]-30[/tex] ÷ [tex]6=-5[/tex]

Answer:

Step-by-step explanation:

LCM  of 5 , 2 and 4 = 20

[tex]\dfrac{1}{5}+\dfrac{1}{2}+\dfrac{1}{4}=\dfrac{1*4}{5*4}+\dfrac{1*10}{2*10}+\dfrac{1*5}{4*5}\\\\=\dfrac{4}{20}+\dfrac{10}{20}+\dfrac{5}{20}\\\\=\dfrac{4+10+5}{20}\\\\=\dfrac{19}{20}[/tex]

Answer: 5/8

Step-by-step explanation: There are 5 odd-numbered balls in the red numbered balls. There are 3 odd-numbered balls in the white numbered balls. So the probability of choosing a red odd numbered ball out of the set of all odd numbered balls is 5/8! Hope this helps!

Answer:

Step-by-step explanation:

let the width be w

p=l*w

1200= 200*w

1200= 200w

1200 = 200w

6 feet = w

width is 6 feet

let the length be a

p = l* w

1200 = a* 6

1200 = 6a

1200 = 6a

200 feet  = a

length is 200 feet

Answer:

Initial value is the y- intercept and the change per month is the slope.

The model function is:

Answer:

4 n (2) + 10 n +4

Step-by-step explanation:

Step-by-step explanation:

Simplify the expression by opening parenthesis:

As we see the expression has 4 as one of factors so is divisible by 4.

Answer:

-1

Step-by-step explanation:

and here we have

[tex]2^{x+1} = 1[/tex]

[tex]2^{0} = 1[/tex]

[tex]2^{0} = 2 {}^{x + 1}[/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Answer:

It’s 61.40 percent so rounding to the nearest percent would be 61% he needs to increase

5

Step-by-step explanation:

Answer:

25c

Step-by-step explanation:

For example , if there are 3 tanks (or n is 3), the total number of fish would be 25* 3 = 75 fish.

Answer:

15...your welcome my dude

Answer:

40 square units

Step-by-step explanation:

A = LW

A = 5 units x 8 units

A = 40 square units

Answer:

40^2

Step-by-step explanation:

The formula for finding the area of a triangle is length times width. So all you have to do is multiply the length 5 and width 8 together to give you 40. Therefore, the area of the rectangle is 40^2.

Answers:

============================================================

Explanation:

These angles are on alternating sides of the transversal line, and they are exterior of the parallel lines. Therefore, these are alternate exterior angles.

Alternate exterior angles are congruent when we have parallel lines like this.

Set the two expressions equal to each other. Solve for x.

3x-31 = x+59

3x-x = 59+31

2x = 90

x = 90/2

x = 45

Then we can find that:

Both alternate exterior angles are 104 degrees each, which confirms we have the correct x value.

Answer:

19 times 3 equal  57

Step-by-step explanation:

57 square feet

Answer:

Step-by-step explanation:

Sample standard deviation refers to the statistical metric that is used to measure the extent by which a random variable diverges from the mean of the sample and it is calculated by adding the squares of the deviation of each variable from the mean, then divide the result by a number of variables minus and then computing the square root in excel of the result.

Hope this helps :}

Pls mark brainliest :P

And have an amazing day <3

Answer:

A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.

Step-by-step explanation:

Answer:

The square root of 144 is 12

Step-by-step explanation:

[tex]\sqrt{144} = 12[/tex]

because 12 x 12 = 144

it's basically 12 doubled... [tex]12^{2}[/tex]

Answer:

12 is the square root of 144.

Step-by-step explanation:

That means if you multiply 12 by 12, you will get 144.

That's called 12² (12 squared)

The square root is the opposite of that. √144=12.

Keep in mind that 12*12=144.

Hope this helps!

[tex]GraceRosalia[/tex]

The sofa cost $848 while the chair cost $404

Let x represent the cost of the sofa and y represent the cost of the chair.

The sofa cost $40 more  than twice the chair, hence:

x = 2y + 40

x - 2y = 40        (1)

She paid a total of $1252, hence:

x + y = 1252     (2)

Solving equation 1 and 2 simultaneously gives:

x = 848, y = 404

Therefore the sofa cost $848 while the chair cost $404

Find out more at: https://brainly.com/question/13910351

Answer:

8 IN by 6 in

Step-by-step explanation:

Hope it helps :)