If L ll m, solve for x

If L Ll M, Solve For X

Answers

Answer 1

Answer:

x = 26

Step-by-step explanation:

1. First, we should realize that the angle with 5x + 7 and the angle with 8x - 71 are alternate exterior angles, so they're congruent.

This means that 5x + 7 = 8x - 71

2. (Solving)

Step 1: Subtract 8x from both sides.

[tex]5x + 7 - 8x = 8x - 71 - 8x[/tex] [tex]-3x + 7 =-71[/tex]

Step 2: Subtract 7 from both sides.

[tex]-3x + 7 - 7 = -71 - 7[/tex] [tex]-3x = -78[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3}=\frac{-78}{-3}[/tex] [tex]x = 26[/tex]

Step 4: Check if solution is correct.

[tex]5(26)+7=9(26)-71[/tex] [tex]130 + 7 = 208 - 71[/tex]  [tex]137 = 137[/tex]

Therefore, x = 26.


Related Questions

A small rectangular tissue box is 0.5 feet long, 0.2 feet wide, and 0.3 feet deep. The box is filled completely with tissues

Answers

Answer:

the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h

help me i want to know this answer​

Answers

Answer:

B) x=2

Step-by-step explanation:

6x+3=3(7-x)

6x+3=21-3x

9x+3=21

9x=18

x=2

Use a calculator to solve for θ in the given interval. Sin θ= -0.9419, for pi < θ < 3pi/2

Answers

Answer:

5.06

Step-by-step explanation:

sin θ = - 0.9419

     θ = sin inverse - 0.9419

        = sin^-1 ( - 0.9419 )

        = - 1.2282

        = ( 2 ( π ) ) - 1.2282

     θ = 5.0549

     θ = 5.06 ( approximately )

Answer:D

Step-by-step explanation:

edge

What is the expression after applying the distributive property?

−0.4(−2+(−9))

Enter your answer by filling in the boxes.

Answers

Answer:

4.4

Step-by-step explanation:

Rate as BRAINLIEST

−0.4(−2+(−9))

=.8+(3.6)

= 4.4

Answer: i took the test on k12

2.11 Quiz: Distributive Property Versus Factoring

Step-by-step explanation:

9/12/2022

The expression 3(x+4)-(2x+7) is equivalent to

Answers

Answer:

x=5

Step-by-step explanation:

3(x+4)-(2x+7)

use the disturbutive property

3x+12-(2x+7)

distrubute the - sign on the bracket number

3x+12-2x-7

combine the like terms

3x-2x= 1x which is just x

12-7=5

x=5

Answer:

x+5

Step-by-step explanation:

Distribute the 3 and distribute the minus sign (-1).

3(x + 4) - (2x + 7) = 3x + 12 - 2x - 7 = x + 5

PLEASE ANSWER QUICK (GIVING BRAINLESIT)
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now

Answers

Answer:

189

Step-by-step explanation:

Ascending means to go upwards. So, since it is below the surface heading upwards, you would subtract the amount of feet that it went up by from the depth it was previously at.

358, take away 169, is 189.

I hope this helped! :)

Someone plz help me :(

Answers

Answer:

the answer is B. 12 Miles

Step-by-step explanation:

hope this helps

the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours worked.

Answers

Answer:

Man i need someone to answer this too

Step-by-step explanation:

Find the area of this figur.​

Answers

380 cm is your answer

Formula: 1/2b•h

Answer and Step-by-step explanation:

The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], where b is the base and h is the height.

We are given both values, so we can plug it into the formula.

[tex]\frac{1}{2} (38)(20)[/tex]

= (10)(38)

= 380 [tex]cm^2[/tex]    <-- This is the final answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Need help asap!!! I’ll give brainliest

Answers

Answer:.

Step-by-step explanation: It wont show on my device sir/ma´am/person. Maybe its because of my device ..if not it could possibly be perhaps you somehow put a wrong file? Not to sure on this problem. But i truly hope its just my device and not yours. But other than that; enjoy your day!

(Btw, please dont give me anything. I didnt even answer what you need help on. But wish you luck on it.)

Answer:

D. x^3 - 11

Step-by-step explanation:

y = ∛ x + 11

x = ∛ y + 11

x^3 = y + 11

x^3 - 11 = y

Hopefully this helped!

Brainliest please?

Colin invests £11180 into his bank account. He receives 5.4% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£ 14,802.32 total investment value.

Step-by-step explanation:

11180 x 0.054^1 = 603.72 interest  yr1

603.72 x 6 = 3622.32 interest yr 6

3622.32 + 11180 = 14802.32 = (interest + Initial) = total

Elli left home at 8:30 and returned at 12:15. How long was she away from home​

Answers

3 hours and 45 minutes assuming its from am to pm?

Answer:

3 hours 45 minutes

Step-by-step explanation:

find the circumference of the circle rounded to the nearest 10th used 3.14 for pi

will give brainliest

Answers

Answer is D
The formula for this is
C=2πr
C=6π
C=18.8

I WILL GIVE BRAINLIEST IF CORRECT!!

Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it
is 140 miles east of Johnstown.

Car B is traveling east on the same road. Its distance east of Johnstown is
represented by the graph.

Where were the two cars in relation to each other when they began traveling?

A. Car A was 20 miles east of car B
B. Car B was 40 miles east of car A
C. Car A was 40 miles east of car B
D. Car B was 20 miles east of car A

Answers

Answer:

D. Car B was 20 miles east of car A

C. Car A was 40 miles east of car B

what kind of sequence
1/3, 2/9, 3/64, 4,81

Answers

The explicit formula for a geometric sequence is of the form a n = a 1 r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a 1 = c, a n+1 = ra n, where c is a constant and r is the common ratio.

Complete these:
1.A square is a polygon with _ equal sides
2.All the sides are _
3.They measure _ degrees each
4.A rectangle is a polygon with _ opposite side
5. There are _ sets of parallel lines
6.A parallelogram has opposite sides ​

Answers

Answer:

1. 4 sides

2. Congruent

3. 90°

4. 2 opposite sides

5. 2 sets

6. 2 opposite sides

1.) 4
2.) equal
3.) 90
4.) 2
5.) 2
6.) 2

Name two angles that are complementary to

Answers

Right and acute
Obtrude and hehshshsnsnnsnsjsnehejshshsnnsns

Working alone, it takes Rob ten hours to

dig a 10 ft by 10 ft hole. Alberto can dig

the same hole in eight hours. How long

would it take them if they worked

together?

Answers

well if they work together then one digs 5 ft and so it would be half they time so since Rob digs it in 10 hrs and Alberto digs in 8 which equals 18 divided by 2 bc they are working together it would prob take them about 9 hours
Sorry if I’m wrong … hope this helps!!

pleassseee helpp!!!!! due in 10 mins!!

Answers

The slope is 15/30

PLEASE MARK BRAINIEST :)
Using points (10, 30) and (50, 50):

Let (x1, y1) = (10, 30)
(x2, y2) = (50, 50)

Use the following slope formula:

m = (y2 - y1)/(x2 - x1)
m = (50 - 30) / (50 - 10)
m = 20/40 or 1/2

Therefore, the slope of the line is 1/2.

Please mark my answers as the Brainliest, if you find this explanation helpful :)

-8cot square A + 8 cosec square A​

Answers

Answer:

8

Step-by-step explanation:

Using the identity

cosec²A = 1 + cot²A

- 8cot²A + 8cosec²A

= - 8cot²A + 8(1 + cot²A)

= - 8cot²A + 8 + 8cot²A

= 8

Evaluate. Write your answer as a decimal

−3.64⋅|−5.3|−1.53

Answers

Answer:

0.13

Step-by-step explanation:

5.3-3.64-1.53

5.3 Become Positive

write the function in standard form y=-(x+3)(x+7)​

Answers

To write this in standard form we need to multiply the two terms in parenthesis on the right side of the equation.

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

y

=

3

(

x

7

)

(

x

+

4

)

becomes:

y

=

3

(

(

x

×

x

)

+

(

x

×

4

)

(

7

×

x

)

(

7

×

4

)

)

y

=

3

(

x

2

+

4

x

7

x

28

)

We can now combine like terms:

y

=

3

(

x

2

+

(

4

7

)

x

28

)

y

=

3

(

x

2

3

x

28

)

We can now multiply each term in parenthesis by

3

:

y

=

(

3

×

x

2

)

(

3

×

3

x

)

(

3

×

28

)

y=−3x2+9x+84

p

y = -x^2 - 10x - 21

^2 is to the power of

What is the value of the c?

Answers

Answer:

?. we'll need the value of a and b to find c

What division problem does this area model
represent?
Enter your answer in the boxes,
73
+ 75 =
R.

Answers

Answer:

Step-by-step explanation:

Ok can u plz add the pic of the model so we can help u

how meny times can 2 go into 9

Answers

Answer:

4 with 1 left over

Step-by-step explanation:

Write the equation of the line in fully simplified slope intercept form

Answers

Answer:

y = -x - 8

Step-by-step explanation:

I don't know what it means by "fully symplified", but this is how I would answer.

Hope this helps, and if not, I'm sorry!

Answer:

[tex]y=-x-8[/tex]

Step-by-step explanation:

Slope intercept form is in the general form

[tex]y=mx+b[/tex]  such that [tex]m[/tex] is the slope of the line, and that [tex]b[/tex] is the y-intercept of that line.

The equation for slope can be denoted as any of those below

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] Where the y and x terms are from two ordered pairs

[tex]m=\frac{rise}{run}[/tex], such that rise is the vertical change in a line, and run the run is the horizontal change

Work!

In this case, since we are given nothing but a line, we should use [tex]m=\frac{rise}{run}[/tex]

Since the graph goes down by 1 for every 1 distance to the right, the change in rise of y (-1) divided by the run of x (1) means that [tex]m=-1[/tex]

We now have [tex]y=-x+b[/tex]

Since b is the y-intercept, according to the graph [tex]b=-8[/tex]

This leaves you with the final answer of [tex]y=-x-8[/tex]

Hope this helps! :)

Find the value of the power
9²​

Answers

Answer:

[tex]{ \tt{ {9}^{2} \: \dashrightarrow \: {(3}^{2})^{2} \: \dashrightarrow \: {3}^{4} }} \\ \\ = { \boxed{ \rm{ \: 81 \: \: }}}[/tex]

given g(x) =3x-3 solve for x when g(x) = 6

Answers

Answer:

x=2g+1

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given g(x) = 3x - 3 and g(x) = 6, then equating gives

3x - 3 = 6 ( add 3 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Can someone help me pls


h(0)=

Answers

Answer:

(-2 1/2 , 6 1/2)?

I m thinking cuz h is between 2 numbers as if there is any other solution..

Mr James gives £500 to his children Ally,
Barry and Cat in the ratio 2:3:5.
How much do they each receive?

Answers

Answers:

Ally gets 100 poundsBarry gets 150 poundsCat gets 250 pounds

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

Work Shown:

x = some positive real number

2x = amount Ally gets

3x = amount Barry gets

5x = amount Cat gets

Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.

Add up the parts and you should get a sum of 500 pounds. Solve for x.

2x+3x+5x = 500

10x = 500

x = 500/10

x = 50

Based on that x value, we then can say:

2x = 2*50 = 100 pounds is what Ally gets3x = 3*50 = 150 pounds is what Barry gets5x = 5*50 = 250 pounds is what Cat gets

As a check, 100+150+250 = 500.

Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.

Those two facts help confirm our answers.

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