Plz anserw this. THANK YOU.
I will give brainelst

Plz Anserw This. THANK YOU. I Will Give Brainelst

Answers

Answer 1

Answer:

[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]

Step-by-step explanation:

Angles and Lines

We must recall some properties of angles and lines:

Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.

Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.

The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:

Angles 3 and 4 are linear pair

Angles 8 and 4 are corresponding.

The first relation leads to:

[tex]m\angle 3+m\angle 4 = 180^\circ[/tex]

The second relation leads to:

[tex]m\angle 4 = m\angle 8[/tex]

Since:

[tex]m\angle 3=x[/tex]

[tex]m\angle 8=5x[/tex]

Substituting:

[tex]x + 5x = 180^\circ[/tex]

Simplifying:

[tex]6x = 180^\circ[/tex]

Solving for x:

[tex]x = 180^\circ/6[/tex]

[tex]x = 30^\circ[/tex]

Now,

[tex]m\angle 3=x=30^\circ[/tex]

[tex]m\angle 8=5x=150^\circ[/tex]

[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]


Related Questions

If the expression ax(4x − 2y − 3) simplifies to 24x^2− 12xy − 18, what must be the value of a?

Answers

Given:

Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].

To find:

The value of a.

Solution:

We have,

[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]

Using distributive property, we get

[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]

On comparing the coefficients of [tex]x^2[/tex] from both sides, we get

[tex]4a=24[/tex]

[tex]\Rightarrow a=6[/tex]

Therefore, the value of a is 6.

A pair of parallel lines is cut by a transversal, as shown:

A pair of parallel lines is shown cut by a transversal. Angle p is located in the upper right exterior next to the transversal, and angle q is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles p and q? (4 points)

p = 2q
p = 180 degrees − q
p = q
q = 180 degrees − p

Answers

Answer:Step-by-step explanation: the answerlet p' be the corresponding angle of the angle p (that is because of the prallelism and the transversal, look the image)but p' and p are correspondant angles implies p'=p,looking at the figure, p' and q are opposite anglesso q=p' and p'=p implies   q=pthe answer isp = q

Help me right answer will get brainlyest and also for 15 points!​

Answers

Answer:

B

Step-by-step explanation:

If you get y by itself, subtract x from both sides and get y= -x+11

15% of what number is 12 ​

Answers

Answer:80

Step-by-step explanation:

15% of 80 is 12

80/10=8=10%

8/2=4=5%

8+4=12=15% of 80

Dont mind my answer plzz helpppp

Answers

Answer:

ok it is an Oligarchy :D

Step-by-step explanation:

In rhombus FGHJ, m∠1=43°.

What is m∠2?

Enter your answer in the box.

Answers

Answer:

47

Step-by-step explanation:

I took the test

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer:

-1/3

Step-by-step explanation:

If you divide rise over run you will do the equation -1 divided by 3 which is equal to -1/3

I need the slope. The options are
A. -2 B. 0 C. 1 D. 2

Answers

Answer:

D.2

Step-by-step explanation:

The only feasible answer that I see fit, is D, as it is the only whole number that is perpendicular to the graph.

what is 105 divided by 3=
it has a remainder

Answers

Answer:Are you sure because when I divide it gives me 35 it’s no remainder and when I check to see if 35*3 is 105 it’s correct

Step-by-step explanation:

IAnswer:

I don't think there is a remainder

Step-by-step explanation:

Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are parallel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7

Answers

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

∠2 ≅ ∠6

∠3 ≅ ∠7

Option (3) will be the answer.

Rita had $20. Then she saved $5.85 each week for 8 weeks, How much money does she have now? Use the bar diagram to solve the problem. Show your work*​

Answers

Answer:

$66.80

Step-by-step explanation:

multiply 5.85 by 8 and then add the product to 20 to get the total

After the eight weeks, Rita has $66.8 now.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, Rita had $20.

Then she saved $5.85 each week for 8 weeks

That means,

she saved the amount,

= amount saved in one week multiplied by 8

She saved the amount

= $5.85 x 8

$5.85  × 8 means $5.85  is added eight times.

Rita saved the amount

= $5.85 x 8

= $46.8

To find the total amount;

$20 + $46.8 = $66.8

And bar diagram is in the attached image.

Therefore, she has $66.8.

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What is the solution to x 4 + 4x 3 ≤ 12x 2?

(–6, 2)
[–6, 2]
(–ꝏ, –6) U (2, ꝏ)
(–ꝏ, –6] U [2, ꝏ)

Answers

Answer:

The answer is B

Step-by-step explanation:

[-6,2]

The solution to the inequality is [–6, 2]. Then the correct answer is option B.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is solved as:-

x⁴ + 4x³ ≤ 12x²

x² ( x² + 4x ) ≤ 12x²

x² + 4x ≤ 12

x² + 4x - 12 ≤ 0

x² + 6x - 2x + 12 ≤ 0

Equate the factors to zero.

( x + 6 ) ( x - 2 ) = 0

x =( -6 , 2 )

Hence, the solution is x = ( -6, 2 ).

To know more about inequality follow

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Betty has $26 to buy plants for her greenhouse. Each plant costs $6. How
many plants can she buy? Do not include units in your answer.




Help

Answers

Answer:

4 plants

Step-by-step explanation:

Betty = $26

Plants = $6 each

[tex]\frac{26}{6}=4.3333[/tex]

Betty can buy 4 plants

A boy sits for 15 maths exams during the year and gains an average of 1.". He sits for one
more exam and receives a score of 65%. What is his new average?​

Answers

New average

[tex] = \frac{1 + 65}{2} [/tex]

[tex] = \frac{66}{2} [/tex]

[tex] = 33[/tex]

Therefore, the boy's new average is 33%

Pat typed 2 pages on Monday, 3 pages on Tuesday, 5 pages on Wednesday, and 8 pages on Thursday. If she continues this pattern, how many pages will Pat type on Friday

Answers

Answer:

pay will type 13 pages on Friday

At the school Halloween dance. 85% of the students were present. If there are 765 students at the dance then how many total students are enrolled at school?​

Answers

Answer:

900 students

Step-by-step explanation:

We have, 85% × x = 765 or, 85/100 × x = 765. Multiplying both sides by 100 and dividing both sides by 85, we have x = 765 × 100/85. So x = 900. If you are using a calculator, simply enter 765×100÷85, which will give you the answer.

You are in the top bunk of a bunk bed and you want to turn the air conditioner on while your friend on the bottom bunk is fine is caused by

Answers

The answer is Convection

> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? ​

Answers

Answer:

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Step-by-step explanation:

Given that

Mean = μ = 15 points

SD = σ = 3 points

For calculating probability for a data point, first of all we have to calculate the z-score of the value.

We have to find the probability of score greater than 24, then the z-score of 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3

So,

[tex]P(z<3) = 0.9987\\P(z>3) = 1 - P(z<3) = 1-0.9987 = 0.0013[/tex]

Converting into percentage

0.0013 * 100 = 0.13%

Hence,

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Answer:0.15%

Step-by-step explanation:

Notice that 24 points is three standard deviations greater than the mean. Based on the Empirical Rule, 99.7% of the player's game scores are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the player's game scores are greater than three standard deviation more than the mean.

Find the slope between the given two points (-7, -13) (1, -5)

Answers

Answer:

1

Step-by-step explanation:

y2-y1/(x2-x1)

-5--13/1--7

8/8

Slope is 1

Answer: (slope) m = 1

Step-by-step explanation:

two complementary angles have the ratio of 4:5. What is the measure of the smaller angle?

Answers

4x + 5x = 90 ... because complementary angles summed together equal 90 degrees
9x = 90
x = 10

smaller angle = 4x = 4(10) = 40

and if you wanted to find out the larger angle = 5x 5(10) = 50

and to check that they are complementary, 40 + 50 = 90

Solve the system of equations. y=6x+5 y=8x-7 what does x and y equal?​

Answers

8x-7 = 6x+ 5
2x = 12
X = 6, plug into equation
Y= 6(6) + 5
Y = 41

What is the product of 1 2/3 and -3 1/2

Answers

Answer:

-5 5/6

Step-by-step explanation:

1 2/3=5/3

-3 1/2=-7/2

5/3*-7/2=-35/6= -5 5/6

Answer:

- 5 5/6 or Decimal: -5.833333

Step-by-step explanation

I need help I don’t understand...

Answers

Answer:

(1 , -2)

Step-by-step explanation:

The intersecting point of two lines is the solution

Answer: X→1(first blank) Y→-2(second blank) and or (1,-2)

bruh I need help ion know this stuff ​

Answers

I believe the answer is b and e

Answer:

b and e

Step-by-step explanation:

A dining room set lists for $1500, and carries a trade discount of 40 percent. Freight charges are $150. Calculate the final price of the dining room set.

Answers

Answer:

1050

Step-by-step explanation:

40 percent of $1500 is $600

$1500-$600=$900

$900+$150=$1050

What is the approximate length of arc s on the circle below? Use 3.14 for s. Round your answer to the nearest tenth.

Answers

Answer:

6.3 or 6.28 to be exact

Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John. Write a simplified expression representing the total amount of magazines sold

Answers

Answer:

4x - 6

Step-by-step explanation:

 Matt:  x

Steve: 2(x - 2)

John:  x - 2

Total magazines sold:

  x + 2(x - 2) + (x - 2)

  x + 2x - 4 + x - 2

  4x - 6

The simplified expression representing the total amount of magazines sold is 4x - 6

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John.

Let the variable Matt:  x

Steve: 2(x - 2)

John:  x - 2

Now Total magazines sold:

 x + 2(x - 2) + (x - 2)

Solving;

 x + 2x - 4 + x - 2

 4x - 6

Learn more about equations here;

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Help me out here pleaseeeeeeee

Answers

Answer: [tex]3\frac{1}{5}[/tex]

have: [tex]6\frac{1}{2}=6.5;\\\\3\frac{3}{10}=3.3[/tex]

Syd ran than Jose: [tex]6.5-3.3=3.2=\frac{16}{5}=3\frac{1}{5}[/tex] (miles)

Step-by-step explanation:

Answer:

[tex]3\frac{1}{5}[/tex]

Step-by-step explanation:

First you want to find the least common denominator so we can figure out this problem.

We have  [tex]3\frac{3}{10} , 6\frac{1}{2}[/tex] so all we need to do is multiply ONLY the fraction next to the 6 so we can figure out what 1/2 and 3/10 correlates to which you will get

By multiplying by 5 you can get the same equation so the common denominator relates to one another.You get 5 by doing 10/2 which is 5.

so your new question is

[tex]3\frac{3}{10} , 6\frac{5}{10}[/tex]

Which is so much easier, all you need to do is subtraction between the two!

5/10-3/10 is 2/10

2/10=1/5

Then we got the whole numbers

6-3=3

so the answer is [tex]3\frac{1}{5}[/tex]

1) Suzie had $325.05 in her checking account. She deposited a check of $182, and
another for $50. She withdrew $100 to take to the casino with her. What is her new
account balance?

Answers

325.05 + 182 + 50 = 557.05

557.05 - 100 = 457.05

Answer : $457.05

14V + 5 − 5V = 4(V + 15)

Answers

Answer:

V=11

Step-by-step explanation:

Simplify:

14V-5V+5=4V+60

9V+5=4V+60

Subtract 4V on both sides:

9V-4V+5=4V-4V+60

Solve:

5V+5=60

Subtract 5 on both sides:

5V+5-5=60-5

5V=55

Divide by 5

V=11

Hope this helps!

Step-by-step explanation:

14V+ 5 - 5V= 4V+ 60|-60|-4V

14V + 5 -5 V - 60 - 4V =0

<=> 5V - 55 =0 |+55

<=> 5V = 55 |:5

<=> V= 11

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