In the figure below, L is parallel to M. Find X

In The Figure Below, L Is Parallel To M. Find X

Answers

Answer 1

Answer:

Let's first try to find the angle supplementary to measure 141°.

(Supplementary angles are two angles that add up together to equal 180°).

Set up an equation;

141 + x(unknown angle measure) = 180°

Solve for x:-

141 + x = 180

-141        -141

x = 39°.

Now that we've found one of the interior angles measure to this triangle, we will use this value to figure out the angle measure next to 'x'.

If we think of the line (highlighted in the picture I attached to this), extended, we can kind of make out of this line as a transversal cutting into the two parallel lines(L & M).

Furthermore, the measured angle 39°, is an alternate interior angle with the missing angle next to 'x'(highlighted with yellow in my picture).

And, alternate interior angles are congruent(meaning they measure the same degree).

Therefore, we can infer that the missing angle next to 'x' is also 39°.

Now that we've found one angle measure and another angle(given) next to x, we can see that angle x and those two angle measures (48° and 39°) combined are supplementary!

So now that we know that angles 48° and 39° are supplementary with x, we can find the value of x by finding it's supplement value!

Arrange an equation;

(48 + 39) + x = 180°

Simplify and solve for x:-

87 + x = 180

-87        -87

x = 93°, hence ∠X = 93°.

In The Figure Below, L Is Parallel To M. Find X

Related Questions

A student wants to interview other students about their favorite sport. The student interviews every fifth student who enters the school in the morning. Is this a random sample or a biased sample?


A
Random sample

B
Biased sample

Answers

Answer:

Biased

Step-by-step explanation:

I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46

Answers

Answer:

41.86 is the right answer

Step-by-step explanation:

8 + X = 14 what does X equal to?

Answers

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

8 + X = 14

To find :-

The value of X

Solution :-

8+x = 14

Transferring 8 to Right side

x = 14-8 (Signs change when transferred to opposite side)

x = 6

HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches?

Answers

V= length x width x height

So 5 x 8 x 20

5 x 8 = 40

40 x 20 = 800

Explain why 0.323232 is greater than 0.32

Answers

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

Factor the equation 4x^2-20x+25

Answers

Answer:

[tex](2x - 5)^2[/tex]

Step-by-step explanation:

[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]

am I right? please only answer if you are positive that you’re correct. thank you!

Answers

Answer:

yes you are correct :)))

What is the value of z?

Answers

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t​

Answers

Hi the answer is 9sin ur welcome Hope this helps have a great day

Answer:

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

or x² +y²= 9

Step-by-step explanation:

In Cartesian form, the equation is expressed only in terms of y and x.

x= -3sin(t) -----(1)

y= 3cos(t) -----(2)

I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.

Relating sine to cosine:

sin²(t) +cos²(t)= 1

[sin(t)]² +[cos(t)]²= 1 -----(3)

From (1):

[tex] \frac{x}{ - 3} = \sin(t) [/tex]

[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)

From (2):

[tex] \frac{y}{3} = \cos(t) [/tex]

[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)

Substitute (4) &(5) into (3):

[tex]( - \frac{x}{3} )^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]

The steps below are optional as the above is already considered to be the Cartesian form.

[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]

Multiplying both sides by 9:

x² +y²= 9

$
6
4
No
2+
of
black
tan
gray white
Color
green
orange
O green
O orange
(a) Which color had the fewest T-shirts sold?
black
o tan
O gray O white
How many T-shirts of that color were sold?
T-shirt(s)
(b) How many more gray T-shirts were sold than tan T-shirts?
more T-shirt(s) sold
(C) For how many colors were there fewer than 10 T-shirts sold?
color(s)
Explanation
Check
© 2022 McGraw HIN

Answers

Answer:

a. tan

3 T-shirts

b. 7 - 3 = 4 T-shirts

(c) 111 IT IIISH (Find the value of):
6
E (4n -2)
1 =2

Answers

Answer: 70

Step-by-step explanation:

can someone please help me solve this? thank you!

Answers

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet


Linear travel = circumference x rotations


linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

solve for x ~
[tex]4x - 96 = 0[/tex]


thankyou ~​

Answers

Step-by-step explanation:

4x - 96 = 0

transferring 96 to Right side

4x = 96

x = 96/4

x = 24

Hope it helps you :)

4x-96=0
4x=96
X=96/4
X=24

Hope this helps:)

13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6

Answers

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

100 pts what is 2X2+6X5+8

Answers

Answer:

It's 42.

Step-by-step explanation:

Order of operations:

4+6*5+8

4+30+8

34+8

= 42

Therefore, the answer is 42.

Answer:

42

Step-by-step explanation:

Complete the sentence.
If a section of a cicle graph needs to represent 15%, then its angle measure will be _____ degrees. ​

Answers

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

find the length of the missing side. if your answer is not an integer, leave it in simplest radical form.

Answers

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

A tree of 14m height is broken by the wind so that its top touches the ground and makes an angle of 60° with the ground. Find the length of the broken part of the tree.
Please help me,
I'll will mark as BRAINLIEST...​

Answers

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m

A person who can afford a monthly payment of __________ and signed a mortgage with a monthly payment of __________ was most likely the victim of predatory lending.

A. $900; $1000
B. $900; $800
C. $900; $900
D. $900; $700

Answers

Answer:

A . 900-1000

Step-by-step explanation:

What is 594 minus 236?

Answers

Answer:

358

Step-by-step explanation:

the answer is 358 because

Yes I wanted to know what is the answer ​

Answers

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

One side of a rectangle is twelve feet longer than three times another side of the rectangle . Find the sides we also know that the area of the rectangle is 231f * t ^ 2

Answers

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

What is the surface area of this right prism?

600 in²

720 in²

840 in²

1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.

Answers

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

Surface area of a triangular prism

surface area = bh + l(x + y + z)

where

b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

learn more on surface area here: https://brainly.com/question/2835293

What is the value of x?

Answers

[tex]\sin 30^{\circ} = \dfrac{LJ}{8\sqrt 2}\\\\\implies LJ = 8\sqrt 2 \sin 30^{\circ} =8\sqrt 2 \cdot \dfrac 12 = 4\sqrt 2\\\\ \text{Now,}\\\sin 45^{\circ} = \dfrac{LM}{LJ} \\\\\implies LM = \sin 45^{\circ} LJ\\\\\implies x = \dfrac 1{\sqrt 2} \cdot 4\sqrt 2 = 4 ~~ units.[/tex]

Answer:

x = 4

Explanation:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

Solve for LJ:

[tex]\hookrightarrow \sf sin(30) = \dfrac{LJ}{8\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf sin(30)*8\sqrt{2} ={LJ}[/tex]

[tex]\hookrightarrow \sf {LJ} = 4\sqrt{2}[/tex]

Solve for LM:

[tex]\hookrightarrow \sf \sf sin(45)= \dfrac{LM}{4\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf \sf sin(45)*4\sqrt{2} = {LM}[/tex]

[tex]\hookrightarrow \sf {LM} = 4[/tex]

Emily is 4 years Jacob's junior. Eight years ago. she was half Jacob's age. How old are they?

Answers

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

help, Surface area of cubes and prisms

Answers

Answer:

2382

Step-by-step explanation:

You can use rectangle surface area= l × b

2×(27×21)+2×(27×13)+2×(21×13)

=2382

Figure 1
Figure 2
B
D
E
С
Z
128 cm
2
am
Area of Figure 1 =
Area of Figure 2 =
Perimeter of Figure 1 = 24 cm
Perimeter of Figure 2 = 21 cm
BC=
DE = 7 cm

Answers

Tip: Go to the internet and put the topic you are focused more on that you posted in Brainly

Step-by-step explanation:

Try it to give you some help

Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in 1/2 hour to reach her goal?

Answers

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

is this correct?

A.yes

B. No

C. Maybe

D. I DUNNO???!!!

Answers

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

 

Please help me yall… my math is due tommorrow!

Answers

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Other Questions
Plutonium-240 decays according to the function Q(t) = Qoe^-ktwhere Qrepresents the quantity remaining after t years and k is the decay constant,0.00011... To the nearest 10 years, how long will it take 36 grams ofplutonium-240 to decay to 12 grams? Which statement below accurately describes Hopes gross wages? Work out21% of 944.13Give your answer rounded to 2 DP. I need right awnsers you can use calculators i dont understand this question Does anybody know this? I really need help. Test help picture below problem 17 18 Choose the angle which is vertical to angle BFC in the following figure. answer A angle CFD answer B angle DFE answer C angle AFC answer D angle EFA The greatest cause of the worldwide loss of species is __________. a) habit destruction b) anthropogenic activities c) air pollution d) water pollution e) decreased soil nutrients reread this sentence from paragraph 8 of the duck and the smartphone PLSSS HELP ME (5x5)/[10x22]-4\52 Freddy works for a graphic design firm. He spends more than nine hours on his computer, causing him physical discomfort. Write a paragraph on what Freddy should do to minimize health problems. Which planets are terrestrial? select three options. jupiter mars mercury uranus venus evaluate: 3 /7 + ( 11 /4 ) + 16 /5 ( 18 /7 ) Understanding the natural world is the _____ of science. BRAINLIEST TO WHOEVER GETS IT RIGHT Which of the following accurately shows the first step when solving the following system of equations by substitution? f(x) = -4x^2 + 3x + 1g(x) = -6x +5a -4x^2+ 3x + 1 = -6x +5b 4x^2 + 3x +1 - 6x + 5 = 0c g(x)= -6(-4x^2 + 3x + 1) + 5df() = -4(-6x + 5)^2 +3(-6x + 5) +1 Question 7 options:5/77/529/7 The Chief Strategy Officer for Miles Corporation is putting together a presentation using the Boston Consulting Group Matrix. The corporations pet products division has a low market share, but the pet products market is growing rapidly. This division should be placed in the _____________ quadrant of the BCG Matrix.Cash cowkittenstarquestion markdog Nathan calculated his companys economic order quantity and categorized all production costs. One cost was related to the cost of storing milk in the freezers, and another cost was related to the insurance expenses that covered the companys inventory. To which cost category would Nathan assign these costs? The results of a standardized test are normally distributed. The mean test score is 312. Of the scores, 16% are under 307. What is the standard deviation?A: 10B:5 IS What Is the effect of the structure inthe essay "Lonellness.. . an American Malady" by Carson McCullers?O A. The clear and concise narration allows the reader to draw connections acrossthe essay. B.The stream-of-consciousness narrationallows a more intimate connection to the reader. C.The melancholic thoughts in the narration create a frustrated and incoherent mood. D. The sense of moral isolation creates a need to belong among emotionally detached readers.