Find x from this triangle

Find X From This Triangle

Answers

Answer 1

Hello,

we are going to use the theorem of the bissectrice. (if this word is good in english)

[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]


Related Questions

Simplify -52 + 8|-1| + (-3).

Answers

-47 is the simplified answer

Inverse proportion
fourteen people could paint 35 identical plates in 2 hours
At this rate, how long would it take 20 people to paint 60 identical plates?
I know answer I just need explanati
:]

Answers

Answer:

let the number of plate be n,rate be r and number of people be p

P=K(constant)/(n*t)

K=PNT

K=14*35*2

K=980

T=(K)/(PN)

T=980/(20*60)

T=980/1200

T=0.817 hours=49 minutes.

solve for x on the diagram below

Answers

Answer:

20 is the answer

Step-by-step explanation:

x+3x+10=90(right angle triangle)

4x=90-10

x=80/4

x=20°

Answer:

x = 20

Step-by-step explanation:

Based on the square indication at the corner of the angle, we can assume it's a right angle, so 90°. This means that x + 3x + 10 = 90. Solve it like any algebraic equation, isolating x. add x to 3x + 10, this would net you 4x + 10 = 90. Subtract 10 on both sides of the equation to further isolate x, meaning 4x = 80. Simplify this, dividing 4 on both sides, meaning x = 20.

¿para qué se realizan gráficos en un informe
estadístico?

Answers

Los gráficos simplifican los datos y muestran los hallazgos clave en forma de imágenes. Un gráfico es una representación visual de datos que puede presentar información compleja de forma rápida y clara, y ayudar al lector a ver patrones y tendencias en los datos.

Find the measure of the indicated angle to the nearest degree

Answers

[tex]\boxed{\sf tan\theta=\dfrac{p}{b}}[/tex]

[tex]\\ \sf\longmapsto tan\theta=\dfrac{13}{20}[/tex]

[tex]\\ \sf\longmapsto tan\theta=0.6[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx tan60[/tex]

[tex]\\ \sf\longmapsto \theta\approx 60°[/tex]

Evaluate the functions in the given points.
a. f(x) = x

2 − 6 for f(0), f(−6), f(√6), f(
1
2
)

b. f(x) = x

3 + 2x for f(0), f(−2), f(−1), f(
1
2
)

c. f(x) =
1−2x
3
for f(0), f(−2), f(2), f (
1
2
) , f(m), f(m − 1), f(−m)

d.f(x) = |x| −
1
x
for f(−1), f(2), f(h), f (
1
2
) , f(−h + 2) where h ≠ 0

Answers

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..............

Step-by-step explanation:

HELP DUE IN 10 MINUTES

Answers

Answer:

Step-by-step explanation:

For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169

Solve algebraically, b^2= 144, so b=12, which is the height.

Part B

Determine the surface area of each cardboard piece, and add together.

20 × 13 × 2 = 520

1/2 × 10 × 12 × 2 = 120

20 × 10 = 200

So approximately 840 cm of cardboard was used

A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches

Answers

Answer:

C: 119 square inches

Step-by-step explanation:

We are given;

Slant height; L = 5 in

Base area; B = 49 in²

Since it's a square pyramid, the base portion has a square shape.

Thus, area of base = x²

Where x is a side of the square.

Thus;

x² = 49

x = √49

x = 7

Perimeter of base = 7 × 4 = 28 in

Area of pyramid = ½PL + B

Plugging in the relevant values;

Area of pyramid = (½ × 28 × 5) + 49

Area of pyramid = 119 in²

please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3

Answers

Answer:

solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers

Help anyone can help me do the question,I will mark brainlest.​

Answers

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

Answer:  150 degrees

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

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

Answer:  2310 square mm

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

Side note: Both answers are approximate because pi = 22/7 is approximate.

1)a)write any three rational numbers .

Answer : 3/4,-2/6,1/2 is are called rational
number.

b)Explain rational numbers in your own words .

Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number ​

Answers

Step-by-step explanation:

1)1/2,1/5 and 0

2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer

Find the surface area of the composite figure

Answers

Answer: SA = 644 cm²

Step-by-step explanation:

STEP ONE: Find the surface area of the smaller rectangle (green)

There are in total 5 sides because one of the sides is not shown on the surface level.

Upper base = 3 × 3 = 9 cm²

4 sides = 3 × 8 × 4 = 96 cm²

Total = 9 + 96 = 105 cm²

STEP TWO: Find the surface area of the larger rectangle (orange)

There are in total 5 whole sides with one side covered by the base of the smaller rectangle (green) which should later be subtracted.

Front and back = 7 × 10 × 2 = 140 cm²

Left and right = 7 × 12 × 2 = 168 cm²

Lower base = 10 × 12 = 120 cm²

Upper base = 10 × 12 - 3 × 3 = 111 cm²

Total = 140 + 168 + 120 + 111 = 539 cm²

STEP THREE: Find the total surface area

SA = Green + Orange = 105 + 539 = 644 cm²

Hope this helps!! :)

Please let me know if you have any questions

m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?

Answers

Answer:

height of tree is 27 ft

Step-by-step explanation:

The corresponding parts of the problem are in proportion

let h be the height of the tree , then

[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )

7h = 189 ( divide both sides by 7 )

h = 27

Height of tree is 27 feet

which of the following data sets could most likely be normally distributed

a. yearly income for California residents
b. total points scored by a basketball team the whole season
c. daily temperature high for winter in 25 US cities
d. blood pressure

Answers

I’m not 100% but l’ll say go for D

Verify the identity.

[tex]cot (x-\frac{\pi }{2})=-tan[/tex]

Answers

Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x

On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?

Answers

Answer:

y = 23, -31

Step-by-step explanation

ttyl

please help me I need​

Answers

Answer

1

[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Therefore

Answer:

1

Step-by-step explanation:

SEE IMAGE FOR Solution ...

HELP QUICK ILL GIVE BRAINLIEST

Answers

Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

I will be marking brainliest please help me with these questions.

Answers

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

find the median of the data down belove (please hurry)

Answers

Answer:

6.2

Step-by-step explanation:

You can find the median by adding up all of the numbers and dividing the result by how many numbers there are.

add them all together: 5 + 6 +5+6+9 = 31

there are five people, so divided 31 by 5

31 divided by 5 = 6.2

6.2

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.

Answers

Answer:

A.

Step-by-step explanation:

the square root of 6 is roughly 1.57

so that means the ordered pair would read (2,1.57).

if you were to plot that point it would be on the circle.

Also the distance from the origin (0,0) to (3,0) is 3 units

We will see that the correct option is:

"No, the distance from (0, 0) to (2, 6) is not 3 units."

Does (2, 6) lie on the circle shown?

We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.

Here we have:

[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]

So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.

If you want to learn more about circles:

https://brainly.com/question/1559324

#SPJ5

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

The internal dimension of a lidless wooden box is 48cm × 38cm × 32cm. If the thickness of the tank is 1 cm, find the volume of the wooden box​

Answers

Step-by-step explanation:

this is confusing.

first the description says "the internal dimensions".

and then it tells us the thickness of the tank walls (1cm).

so, I am not sure what the given numbers describe.

in any case, the volume is length × width × height.

so, either

48×38×32

or

46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.

whatever you choose, make sure to mark the result as cm³.

The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts

Answers

Answer:

320 shirts

Step-by-step explanation:

Answer:

320 shirts

Step-by-step explanation:

If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.

A box contains cards number 1-10. A card is drawn at random, without replacement, and a second card is drawn. What is the probability that the first number is a multiple of five and the second number is a multiple of three?

Answers

Answer:

Step-by-step explanation:

Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.

Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.

A probability is the number of desired outcomes divided by the number of total outcomes.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.

There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]

Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)P(B|A)[/tex]

[tex]P(A \cap B) = 0.2(0.3333)[/tex]

[tex]P(A \cap B) = 0.0667[/tex]

0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.

A similar problem is given at https://brainly.com/question/14398287

Instructions: Find the missing side. Round your answer to the nearest
tenth.
22
х
50°
X =

Answers

Answer:

x = 16.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/22

22 sin 50 =x

x=16.85297

To the nearest tenth

x = 16.9

I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.

Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.

Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.

This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.

To validate this code, or request further clarification, refer to this account.

Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.

HINTS:

"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.

Everything you need to complete this cipher is given here.

Only very basic math was used to encrypt this key (Multiplication and Division).

You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.

Best of luck

Answers

no cheating thanks <3

convert six yard to feet

Answers

Answer:

18 feet

Step-by-step explanation:

To convert : multiply the length value by 3

=> 6 x 3

=> 18 feet

What is the quotient of 2 2/7 divided by 4/7

Answers

The answer is 4.

Solution:

2 2/7 ÷ 4/7

Transform to improper fraction,

So,

16/7 ÷ 4/7

16/7 × 7/4

4

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