Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=

Find The Angle Measures. Justify Your Responses.ma2134b657/8Given: A 1b, M_2=3x +20,m27=2x -10Find: M3,

Answers

Answer 1

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 


Related Questions

Write an equation in slope-intercept form of the line shown.

Answers

Answer:

y=-3/2x+5

Step-by-step explanation:

The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).

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The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))

Thus, we have

x | p(x) | xp(x)

3 | 0.14 | 0.42

6 | 0.05 | 0.3

9 | 0.36 | 3.24

12 | 0.35 | 4.2

15 | 0.10 | 1.5

Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66

The last option is correct.

Please answer the question on the following screenshot

Answers

Answer:

E

Step-by-step explanation:

Ellen solved the equation x2−5=59 using the following steps.

Review her work carefully, and then follow the instructions.

Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?

Answers

Answer:

c

Step-by-step explanation:

In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.

population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.

A BIOCHEMICAL RESEARCH COMPANY PRODUCES 50% OF ITS INSULIN AT A PLANT IN KANSAS CITY, AND THE REMAINDER IS PRODUCED AT A PLANT IN JEFFERSON CITY. QUALITY CONTROL HAS SHOWN THAT.5% OF THE INSULIN PRODUCED AT THE PLANT IN KANSAS CITY IS DEFECTIVE, WHILE 1.35% OF THE INSULIN PRODUCED AT THE PLANT IN JEFFERSON CITY IS DEFECTIVE. WHAT IS THE PROBABILITY THAT A RANDOMLY CHOSEN UNIT OF INSULIN CAME FROM THE PLANT IN JEFFERSON CITY GIVEN THAT IT IS DEFECTIVE?

Answers

The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:

0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X

Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

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Answers

Answer:

[tex]\frac{t^2-16}{t^2-8t+16}[/tex]

We can factorise the numerator which the difference of squares formula:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

---------------------------------

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]

Next, factorise the denominator:

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]

[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]

Cancel out the common factor of (t-4):

[tex]\frac{t+4}{t-4}[/tex]

number of heads: 0,1,2,3 Frequency: 16,38,34,12 Find the median​

Answers

Answer:

the median of 0 1 2 3 16 38 34 12 is 9.5

What's the constant in 12n + 7 +13k⁴ + 4+ 39z​

Answers

Answer:

7, 4 or 11

Step-by-step explanation:

     No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Select the geometric figure that correctly matches with the following formula:

A=LW

Answers

Answer:

Square because the area of a square is length times width.

The formula matches with square.

What is Geometry?

A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids

As,

First, Area of circle  = πr²

Hence, it is not possible.

Second, square

Area of square = l * b = LW

Similarly for trapezium

Area= 1/2( a+ b)* h

Hence, the formula matches with square figure.

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Answer:

i guess the 2nd one

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.........

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Answer:

d

Step-by-step explanation:

I’m like 80% sure that the answer is c.

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Answers

answer: when x=68, y = 51

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Answers

Answer:

Good luck on the test <333

Step-by-step explanation:

m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?

First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.

Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.

Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.

For angle 4 the equation is 180 - (49 + 87), which is 44.

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b

Step-by-step explanation:

236

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Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

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Write the equation of the line that passes through the points (-9,9) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y + 2 = (11/17)(x - 8)

Step-by-step explanation:

Working with the x- and y-components of the given points, we see that the x component increases by 17 and the y-component decreases by 11.  Thus, the slope of this line is m = rise / run, or 11/17.

Start with the general point-slope form:  y - k = m(x - h) and use the coordinates of the 2nd point for h and k in this equation:

                                                                    y + 2 = (11/17)(x - 8)

                                                                     This is based on the point (-2, 8)

                                                                     and the slope 11/17.                                                                  

This result is the desired equation in point-slope form.  If we wish to reduce this, proceed as follows:

17(y + 2) = 11x - 88, or 17y + 34 = 11x - 88

This last result simplifies to 17y = 11x - 54, or y = (11/17)x -54/17 (which is in slope-intercept form).


If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?

l

Answers

See answer attached in photo. I drew it out


My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
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Answers

She can only bake 3 cakes count up… 2…4…6 there is not enough for the 40th cake so she will have 1 1/3 cups of sugar left over. I hope that helps.

00.5 divide 53.342 give solution right answer=brainliest=10 points
☢️⚠☢️nonsense report☢️⚠☢️​

Answers

Answer:

Iᖴ 00.5÷53.342=0.009373476

Iᖴ 53.342÷00.5=106.684

Step-by-step explanation:

ᕼOᑭᗴ IT ᑕᗩᑎ ᕼᗴᒪᑭ YOᑌ ᒪOᐯᗴᒪOTՏ

what is 1/5 divided by 9?

Answers

Answer:

9/5

Step-by-step explanation:

Just divide the 9 by 1 so it'll be 9/5 hope it helps

Apply the distributive property to create an equivalent expression

Answers

Answer:

3e-3/2f-3/8

Step-by-step explanation:

You multiply everything in the parenthesis with 1/2. 1/2*6e=3e, 3f*1/2=3/2f, 3/4*1/2=3/8. This would be the answer.

What is -3/2 as a decimal

Answers

Answer:

-1.5

Step-by-step explanation:

To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)

Answer:

-1.5

Step-by-step explanation:

I need help. Im in 6th grade and I'm so confused. IT IS SAYING I NEED TO UPGRADE TO SEE THE ANSWER> NOO

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Answer:

i can help with the problem

toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?

Answers

Answer:

20

Step-by-step explanation:

4*5 = 20%

How do I do this problem?

Answers

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).

Answers

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. Assuming a binomial distribution, what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Answers

Answer:

Answer:

60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Help help help please good luck be honest

Answers

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
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c.4pi
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Answers

rate of change circumference=rate of change area, derivative of circumference(2piR)=derivative of area(piR^2), 2pi=2piR, R=1, plug back into area formula: piR^2, pi(1)^2, area=pi :)
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