Mathematics College

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°.

Related Questions

A cylinder has a radius of 10 feet and a height of 11.4 feet.

What is the approximate volume of the cylinder?

Answers

Answer:

716.57

Step-by-step explanation:

V=πr2h

V = 2×22/7×10×11.4

= 716.571

give me a brainliest

Evaluate x^3-3y when x=-3 and y=4

Answers

Answer:

If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:

x = - 3

y = 4

x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39

The correct result would be A -39.

Step-by-step explanation:

pa answer PO Ng question ko plss BRAINLYES Naman dyan

probably extremely easy but would like a little explanation on doing this when it comes to this specific subject

Answers

Answer:

look at each pair. examine each notice exponents so you find the hidden gcf

Step-by-step explanation:

ASZPPPP
LAST ONEEE PLEASEE HELPP

Answers

Answer:

Top Left

I sincerely hope this is right and that you get g really good mark ;)

Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.

Answers

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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Please at least just look to see if its
easy for you

Answers

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

Spot the difference

Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3

Answers

A. Is different from the other three
This is because B,C, and D all have exponents while A does not.

Find two numbers whose product is 110, and whose sum is 21.

Answers

Step-by-step explanation:

The answer is 10 and 11

10 + 11 = 21

10 × 11 = 110

Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left

Answers

Answer:

Seventy-two million, six hundred and seven thousand games remaining

please mark brainliest

Answer:

72607000

Step-by-step explanation:

just subtract 5312 from 72612312

Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?

Answers

Answer:

3/16

Step-by-step explanation:

The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16

Dylan has 58912 cookies he eats 34512 how much does he have now?

Answers

Answer:

24,400

Step-by-step explanation:

58912 minus 34512 equals 24400.

Hope this Helps.

BTW it's my birthday

Answer:

24400

Step-by-step explanation:

No explanations; 58912-34512=24400

Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.

Answers

Answer:

In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.

I hope this helps!

Answer:

In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees. Therefore, the other two angles sum to 90 degrees, which means they are complementary. They are also acute angles, since they are each less than 90 degrees.

On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?

Answers

The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.

What is Significance Testing?

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

What are the seven steps involved in the above exercise are:

Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

= - 6/10/‭3.1622777

= -6/‭3.1622777

= -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

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Find the numbers of faces, edges, and vertices of the solid.

Answers

Answer:

7 faces15 edges10 vertices

Step-by-step explanation:

This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.

Faces

There are two pentagonal faces and 5 rectangular faces for a total of ...

7 faces

Edges

There are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...

15 edges

Vertices

There are 5 vertices on the top face, and 5 on the bottom face, for a total of ...

10 vertices

[50 points!]

Find P (Freshman | Boy)

Hint:
P(A and B)/P(B)

Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.

Answers

Answer:

1/3

Explanation:

P(Freshman | Boy)

Freshman = 4Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

Triangle ABC is situated inside of a green square. The perimeter of the square is 33.6 feet. What is the area of triangle ABC?

Answers

Step-by-step explanation:

solution for the triangle ABC

What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when the line crosses the y-axis)

To determine the equation of a line:

Find the slopePlug the slope into y=mx+bPlug in a point that falls on the line as (x,y)Solve for b

Solving the Question

We're given:

[tex]m=-\dfrac{1}{3}[/tex]The lines passes through the point (3,5)

[tex]y=mx+b[/tex]

⇒ Plug the slope into the equation:

[tex]y=-\dfrac{1}{3}x+b[/tex]

⇒ Plug in the given point (3,5) and determine the y-intercept:

[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]

⇒ Plug this back into the equation along with the slope:

[tex]y=-\dfrac{1}{3}x+6[/tex]

Answer

[tex]y=-\dfrac{1}{3}x+6[/tex]

5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!

Answers

Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

Please help me with this problem!!

Answers

Answer:

ok this is at first hard but during time you should use math genie helps you and has grade levels

Step-by-step explanation:

Please help and Please write real equation for the answer thank you

Answers

Answer:

f(x) = (3x -12)/(x² -7x +12)

Step-by-step explanation:

The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...

horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)

The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.

At this point, the function is tentatively ...

[tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]

Evaluating this at the y-intercept, x=0, gives ...

f(0) = -1 = a/(0 -3) = -a/3

a = 3 . . . . . multiply by -3

Then our rational function, consistent with all of the features of the graph, is ...

[tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]

Which lines are the directrices of the ellipse?

x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25

Answers

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

How to calculate the ellipse?

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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what is 2pi*4^2 + 2pi*4*4

~giving brainliest!~

Answers

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]

Answer:

64π

Step-by-step explanation:

2π(4²) + 2π(4)(4) <== exponents first

2π(16) + 2π(16) <== multiply

32π + 32π <== add

64π <== final answer

Note: 4 * 4 can also be written as 4²

Hope this helps!

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity

Answers

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Factorization

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

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n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.

Answers

Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

What is law of sine?

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

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The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 hours? By what factor does the population increase in 1 week ?

Answers

Answer:

19.017 in 34 hours2,097,152 in 1 week

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

factor = 2^4.25 ≈ 19.027

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

factor = 2^21 = 2,097,152

Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?

Answers

Answer:

500

Step-by-step explanation:

330+150=480

480-10=470

470+30=500

how do I convert 216 in percentage

Answers

Answer: 21600

216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.

Step-by-step explanation:

The transformation of triangle ABC is an example of what?

Answers

Answer:

The relation between preimage and image

Step-by-step explanation:

5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm?

Answers

By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2

How to find the area of the farm?

For a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W

In this case, we know that the perimeter is equal to 38m, then:

38m = 2*L + 2*W

We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.

This is written as:

(L - 3m) = 2*(W - 2m)

Then we have a system of equations:

38m = 2*L + 2*W

(L - 3m) = 2*(W - 2m)

To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:

L = 2*(W - 2m) + 3m

Replacing that on the other equation we get:

38m = 2*(2*(W - 2m) + 3m) + 2*W

Now we can solve this for W.

38m = 4*(W - 2m) + 6m + 2*W

38m = 4*W - 2m + 2*W

38m + 2m = 6*W

40m = 6*W

40m/6 = W = 6.67m

Then the length is:

L = 2*( 6.67m - 2m) + 3m = 12.34 m

So the area of the rectangle is:

A = L*W = 12.34m*6.67m = 82.31 m^2

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