Given m||n, find the value of x. (4x-7) degrees (3x+9) degrees It's transversal problems with equations Can anyone help please

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given

[tex]\angle 1 = 4x - 7[/tex]

[tex]\angle 2 = 3x + 9[/tex]

Required

Find x

The question is incomplete, as the relationship between both angles is not given

(1) If they are supplementary, then

[tex]\angle 1 + \angle 2 = 180[/tex]

[tex]3x + 9 + 4x - 7 = 180[/tex]

Collect like terms

[tex]3x + 4x = 180+7-9[/tex]

[tex]7x = 178[/tex]

Divide both sides by 7

[tex]x = 25.43[/tex]

(2) If they are complementary, then

[tex]\angle 1 + \angle 2 = 90[/tex]

[tex]3x + 9 + 4x - 7 = 90[/tex]

Collect like terms

[tex]3x + 4x = 90+7-9[/tex]

[tex]7x =88[/tex]

Divide both sides by 7

[tex]x = 12.57[/tex]

(3) If they are vertically opposite angles, then

[tex]\angle 1 = \angle 2[/tex]

So, we have:

[tex]4x - 7 = 3x + 9[/tex]

Collect like terms

[tex]4x - 3x = 9 +7[/tex]

[tex]x = 16[/tex]


Related Questions

Một lớp có 40 học sinh gồm học sinh giỏi, học sinh khá , và học sinh trung bình , số hs trung bình chiếm 1/4 cả lớp , số hs khá bằng 60% số học sinh còn lại a) tính số học sinh mỗi loại B) tổng số hs khá và giỏi chiếm bao nhiêu phần trăm trong lớp

Answers

Answer:

Đổi 60% = 3/5

a) Số học sinh trung bình là:  40 * 1/4 = 10 (hsinh)

Tổng số hsk và hsg là:  40 - 10 = 30 (hsinh)

Số học sinh khá bằng 60% số học sinh còn lại nên số hsk là:

             30 * 60% = 18 (hsinh)

Số học sinh giỏi là:  30 - 18 = 12 (hsinh)

b) Tổng số hs khá và giỏi chiếm số phần trăm trong lớp là:

             30 : 40 * 100 = 75%

please help me with this trigonometric ratio/terminal arm question, giving brainliest!

Answers

Here is the first half

i think i got the hang of it but i still need help

pls help !​

Answers

Answer:

50

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

since one of the angle is given as 80 the remaining is 100

The given is an isosceles triangle which means two of its side length and so its angles are equal in measure so 100/2 = 50

Answer:

4/5 t

Step-by-step explanation:

why?

80%xt by definition of p%=p/100

80/100t

80/100t reduce the fraction with 20

so the answer is;

4/5 t

Hope it helps

Pls help answer, also explain. I will give brainliest

Answers

Answer:

8 lb box

Step-by-step explanation:

Find which laundry detergent has a lower unit price

The unit price is how much something costs for a single unit

In this case, it is how much the detergent costs for 1 pound

7.4/8 lbs = 0.925 dollars per lb

5.38/4 lbs = 1.345 dollars per lb

Since 1.345 > 0.925, the 8 lb box is a better buy

Case 1

Cost of 8 pound detergent = $7.40

So, cost of 1 pound detergent

= $7.40 ÷ 8

= $0.925

Case 2

Cost of 8 pound detergent = $5.38

So, cost of 1 pound detergent

= $5.38 ÷ 4

= $1.345

$0.925 < $1.345

$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box

So, buying the 8 pound box is better.

in angle PQR, angleQ=70 angle R=45 then angleP=.....

Answers

Answer:

65

Step-by-step explanation:

Because its a triangle,

P + Q + R = 180

So,

P + 70 + 45 = 180

P + 115 = 180

Subtract 115 on both sides

P = 65

Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.


Which statement is true? ​

Answers

Answer:

4

Step-by-step explanation:

A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?

Answers

Answer:

7/12

Step-by-step explanation:

3*4=12. 4/12+3/12=7/12.

Answer:

5/12

Step-by-step explanation:

you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12

3. Find the measure of angle A.

Answers

Answer:

20

Step-by-step explanation:

Angle Formed Outside = 1/2(difference of Intercepted Arcs)

The outside arc = 360-160 = 200

A =1/2 (200-160)

A = 1/2 (40)

A = 20

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.2 feet long, if the remaining piece needs to be 0.66 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.​

Answers

Answer:

11.2

Step-by-step explanation:

3.2 / 0.66 = 4.8484...

3.2 + 3.2 + 4.8484... = 11.24848...

= 11.2 (rounded)

Brainliest, please!

if sum of two no is 21 and sum of their square is 256 find the number
i.e x+y=21
x²+y²=261
find value of x and y​

Answers

Step-by-step explanation:

you're going to solve for y in the first equation and then substitute it in for the second equation and solve.

Mrs. hilt baked 7 dozen cookies and sold them for $4.25 per half dozen. how much money would Mrs. Hilt make if she sold all the cookies?

Answers

Answer:

59.5

Step-by-step explanation:

Half dozen = $4.25

Full Dozen = 2 X (4.25)

= 8.5

7 Dozens price = 7 X 8.5 =

= $59.5

Answered by Gauthmath

what's the rational approximation of 15​

Answers

Answer:

15 / 1

hope that helps uh...

Please help me find x
Need help fast!!

Answers

Answer:

x = 100°

Step-by-step explanation:

p and q are parallel lines. Construct line 'l' parallel to p and q

a = 30°   {p// l  when parallel lines are intersected by transversal alternate interior angles are congruent}

c +110 = 180  {linear pair}

c = 180  - 110

c = 70°

b= c   {q // l  when parallel lines are intersected by transversal alternate interior angles are congruent}

b = 70°

x = a + b

x = 30° + 70°

x = 100°

find the area of circle having its radius 15cm​

Answers

Answer:

A≈706.86

Step-by-step explanation:

welcome to brainly

Answer:

Let π =22/7

area of circle = πr²

= 706.86

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

In a biconditional statement, the output is true if at least one input is true.

-true
-false

Answers

In a biconditonal statement the output is true if at least one input is true….this is false.

Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by step

Answers

Answer:

Step-by-step explanation:

A group of friends is addressing wedding invitations. Casey can address 22 envelopes in one hour, Anne can address 48 envelopes in two hours, and Paula can address 62 envelopes in three hours. About how long will it take them to address 420 envelopes?

A.
19.09 hours
B.
22.00 hours
C.
7.24 hours
D.
6.30 hours

Answers

Answer:

D

Step-by-step explanation:

Let's say that we have x amount of hours.

Casey addresses 22 envelopes per hour. Another way of writing this is that for x hours, Casey addresses 22 envelopes. Therefore, given x hours, Casey addresses 22 * x envelopes.

Anne can address 48 envelopes in 2 hours. It is important to note that this is for 2 hours. To make this per 1 hour, we can write

48 envelopes = 2 hours

divide both sides by 2

24 envelopes = 1 hour.

Therefore, given x hours, Anne addresses 24 * x envelopes.

Paula can address 62 envelopes in 3 hours, so

62 envelopes = 3 hours

divide both sides by 3

62/3 envelopes = 1 hour

Given x hours, Paula can address 62/3 * x envelopes.

Adding all of these up, given x hours, the group of friends can address

22 * x + 24 * x + 62/3 * x envelopes. Because the variables are all the same (x), we can add up the coefficients, resulting in

(22 + 24 + 62/3) * x = (46 + 62/3) * x envelopes given x hours

We want to figure out the amount of hours (x) for 420 envelopes. The total amount of envelopes is equal to (46 + 62/3) * x, so we set 420 equal to that, resulting in

(46 + 62/3) * x = 420

divide both sides by (46 + 62/3) to isolate x

420 / (46 + 62/3) = x

= 6.3 hours

!!!HELP ME!!! I WILL GIVE YOU BRAINLIEST

Todd has earned the following test scores in his chemistry class so far: 76, 83, 89, 95, 100. There is one last test this semester that will count toward his grade. What grade must Todd make on the sixth test to have a test average of 90 or better?

Answers

Answer:

97

Step-by-step explanation:

76+83+89+95+100=443

there are all 6 tests.

we consider marks of last lest as "X"

x should be added to total mark

to obtain average mark, total marks should divided by no. of tests.

(443+x)/6=90

443+x=90*6

443+x=540

x=540-443

x=97

Hope my answer helped u :)

toán lớp 8
giải bất phương trình: 2x + 2 > 4

Answers

Answer:

x>1

Step-by-step explanation:

Answer:

x>1

I hope it will help you

Not quite sure how to solve

Answers

Hi again! Sorry my work is messy but I hope u understand. I got 126 as my answer and 14/5 is the scale factor

surface area of cylinder

Answers

Answer:

The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].

What are the solutions of the following system?

Answers

Answer:

(0,-5) and (-4,3) are the points to the equations.

Step-by-step explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

Answer:

(-4;3), (0;-5)

Step-by-step explanation:

Independent Practice


Which model is most appropriate for the set of points?

(–2, 5), (–1, –1), (0, –3), (1, –1), (2, 5)


A.
exponential


B.
linear


C.
quadratic

Answers

Quadratic because if you plot it on a graph it will look like a U

Factor completely, show work.

x² - 49

Answers

You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)

This formula allows the middle term to cancel out.

=x2 - 49

=(x + 7)(x - 7)

ANSWER: (x + 7)(x - 7)

Hope this helps! :)


What is the greatest common factor of 15n^5, 30n^3, and 45n^2

Answers

Answer:

15n^2 as it the highest expression that is common among these three.

The greatest common factor is 15.

Can you please factor the problems below and explain/show all your steps. I will be attaching a photo with the problems as well in case they are more understandable on there. Also if you can please explain how you used the key concepts from the photo in your work if you used them.
Factor: 2a^3 + 4a^2 + 8a
Factor: 6y^4 - 294y^2
Factor: 5x^2 + 50x +125

Answers

1) The factorization is: [tex]2a(a^2 + 2a + 4)[/tex]2) The factorization is: [tex]6y^2(y - 7)(y + 7)[/tex]3) The factorization is: [tex]5(x+5)^2[/tex]

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

To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.

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

Expression 1:

The expression is:

[tex]2a^3 + 4a^2 + 8a[/tex]

First, we find the gcf of the numbers 2, 4 and 8, which is 2.

Of the exponents, the gcf between 3, 2 and 1 is 1, so:

[tex]2a^3 + 4a^2 + 8a = 2a(\frac{2a^3}{2a} + \frac{4a^2}{2a} + \frac{8a}{2a}) = 2a(a^2 + 2a + 4)[/tex]

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

Expression 2:

The expression is:

[tex]6y^4 - 294y^2[/tex]

The gcf of 6 and 294 is 6.

The gcf of the exponents 2 and 4 is 4.

Thus:

[tex]6y^4 - 294y^2 = 6y^2(\frac{6y^4}{6y^2} - \frac{294y^2}{6y^2}) = 6y^2(y^2 - 49)[/tex]

Then, applying the difference of squares:

[tex]y^2 - 49 = (y - 7)(y + 7)[/tex]

Thus, the factored expression is:

[tex]6y^2(y^2 - 49) = 6y^2(y - 7)(y + 7)[/tex]

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

Expression 3:

The expression is:

[tex]5x^2 + 50x + 125[/tex]

The gcf of the coefficients, 5, 50 and 125 is 5, so:

[tex]5(\frac{5x^2}{5} + \frac{50x}{5} + \frac{125}{5}) = 5(x^2 + 10x + 25)[/tex]

Applying the perfect square, we get that:

[tex]x^2 + 10x + 25 = (x + 5)^2[/tex]

Tus, the factored expression is:

[tex]5(x^2 + 10x + 25) = 5(x+5)^2[/tex]

A similar question is given at https://brainly.com/question/11930822

Solving inequalities and graph it's solution

Answers

Step-by-step explanation:

answer is 10 am i right plzz correct it

If A is directly proportional to B and B = 5 when A = 6.
(a) Find the value of B when A=4.
(b) Find the value of A when B = 2.
(c) Sketch the graph of A against B.


Answers

Answer:

good question

but I don't know

please I am so sorry

4.
Find the inverse of A if it has one, or state that the inverse does not exist.

Answers

Answer:

Hello,

[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]

Step-by-step explanation:

See jointed file

The inverse of the matrix A is

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

What is a matrix?

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]

The matrix A is a square matrix and its determinant is not zero.

So the inverse exist.

The inverse of matrix A.

We will change the rows into columns and columns into rows.

So,

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

Thus,

The inverse of the matrix A is given above.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ2

15. In a class of 40 students, 15 passed in Mathematics and Science both and 20 passed in only one subject. How many students failed in both the subjects? (A) 5 (B) 25 (C) 20 (D) 45​

Answers

The answer may be A.
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