What is the value of x between the two triangles? *no bots or else you will be reported*

What Is The Value Of X Between The Two Triangles? *no Bots Or Else You Will Be Reported*

Answers

Answer 1

Answer:

x = 25

Step-by-step explanation:

First we need to show that these two triangles are similar.  Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees.  This results in 74 degrees, which matches 74 degrees in the second triangle.

Next we write and solve an equation of ratios:

 6        10

----- = -------

15         x

Cross multiplying returns 6x = 150, so that x = 25.

Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.


Related Questions

In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?

Answers

To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

How to find the percentage growth?

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

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Find the inverse of each function. Then graph the function and its inverse. f(x)=-1-1/5x

Answers

The inverse of the given function is y = -1/5(x + 1).

The graph the function and its inverse is shown in the image attached below.

What is an inverse function?

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

y = -1 - 1/5x

x = -1 - 1/5y

Adding 1 to both sides of the function, we have:

x + 1 = -1/5y

Multiplying both sides of the function by -1/5, we have:

y = -1/5(x + 1)

Which expression has the greatest value?

Answers

The expression 16^3/2 (a) has the greatest value because the answer is 64

Answer:

the answer is  16^3/2

Step-by-step explanation:

I took the Iready test too ;)

The cosine of 55 1/2 degrees is approximately 0.566. What angle, in degrees, has a sine of approximately 0.566?

Answers

Given:

[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]

To find:

The angle, in degrees, that has a sine of approximately 0.566.

Solution:

We know that,

[tex]\sin(90^\circ-x)=\cos x[/tex]

We have,

[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]

Using the above trigonometric identity, it can be written as:

[tex]\sin (90-55\dfrac{1}{2})^\circ\approx 0.566[/tex]

[tex]\sin (90-\dfrac{110+1}{2})^\circ\approx 0.566[/tex]

[tex]\sin (90-\dfrac{111}{2})^\circ\approx 0.566[/tex]

Taking LCM, we get

[tex]\sin (\dfrac{180-111}{2})^\circ\approx 0.566[/tex]

[tex]\sin (\dfrac{69}{2})^\circ\approx 0.566[/tex]

[tex]\sin (34\dfrac{1}{2})^\circ\approx 0.566[/tex]

Therefore, the angle [tex]34\dfrac{1}{2}[/tex] degrees has a sine of approximately 0.566.

Liz is watching a film at the cinema. The film started at 14 30. The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. Does Liz get to the bus stop in time to get this bus? You must show all your working

Answers

The answer is yes, she does and she still has 10 minutes free.

What is time ?

Time can be defined as the sequence on which particular event exists and time can measured in minutes , seconds, and hours.

Given,

The film started at 14 30. The film is 105 minutes long.

When the film ends, Liz takes 20 minutes to get to the bus stop.

105min=1h 45min

14h 30min + 1h 45min= 16h 15min

16h 15min + 0h 20min=16h 35min

16h 45min - 16h 35min= 10min

Hence, the answer is yes, she does and she still has 10 minutes free.

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The perimeter Of rectangle is 106 cm its length is 2X -1 cm and breath is X +9 cm find its length and breadth

Answers

[tex] \longmapsto \: 2(2x - 1 + x + 9) = 103 \\ \\ \longmapsto \: 2(3x + 8) = 106 \\ \\ \longmapsto \: 6x +16 = 106 \\ \\ \longmapsto \: x = \frac{90}{6} \\ \\ \longmapsto \: x = 15 [/tex]

So,

[tex]l = 2 \times 15 - 1 = 29 \\ \\ b = 2 + 15 = 17[/tex]

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the breadth (or width) of the rectangle.

In this case, we know that the perimeter is 106 cm, so we can set up the equation:

106 = 2(l + (X + 9))

106 = 2l + 2X + 18

We also know that the length of the rectangle is 2X - 1, so we can set this equal to l:

2X - 1 = l

Now we have a system of two equations with two unknowns (l and X). We can substitute the value of l from the second equation into the first equation and solve for X:

106 = 2(2X - 1 + (X + 9))

106 = 2(3X + 8)

106 = 6X + 16

90 = 6X

X = 15

Now that we know the value of X, we can substitute it back into the equation for the length of the rectangle to find the length:

l = 2X - 1 = 2(15) - 1 = 29 cm

And then we can use the value of X again to find the breadth:

w = X + 9 = 15 + 9 = 24 cm

So the length of the rectangle is 29 cm and the breadth is 24 cm.

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5. The hourly garage at BWI Airport costs $4 an hour with a maximum cost of $22 a day. The equation (ℎ)= { 4 , 0<ℎ≤1 8 , 1<ℎ≤2 12 , 2<ℎ≤3 16 , 3<ℎ≤4 20 , 4<ℎ≤5 22 , 5<ℎ≤24 represents the cost of parking for ℎ hours. a. How much does it cost to park for 45 minutes? b. How much does it cost to park for 2 hours? c. How long could you have parked if it cost you $16? d. List the domain and range for this situation.

Answers

It will cost $4 for 45 minutes and for 2 hours it will cost $8. If parked for 3 to 4 hours it will cost $16 for garage at BWI Airport.

What is the scope and domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

How are range and domain determined?

Graphs can be used to determine the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis because the term "domain" refers to the set of potential input values. The possible output values that make up the range are shown on y-axis.

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B. find the value of the unknown variables and sides using parallelogram SAFE,given:​

Answers

Answer:

answer below

Step-by-step explanation:

x=4

y=8

AE line equals 16

sf line equals 20

st line equals 10

A straight line is shown on the coordinate grid below. a) What is the y-intercept of this line? b) What is the gradient of this line? Give each of your answers as an integer or as a fraction in its simplest form. Y 8- 7- 6- 5- 4- 3- 2- 1- ܝ ܚ ܚ ܢ ܗ ܘ ܙܢ ܣ -8-7-6-5 -4 -32 -1.0 -2+ -3. -4- -8- 12 4 X​

Answers

Answer:

a. 4

b. -2

Step-by-step explanation:

coordinate: (2,0), (0,4)

gradient = 4 - 0 / 0 - 2

 = -2

heyy! i’ll give brainliest please help

Answers

As the name of a person

Answer:

Last one

Step-by-step explanation:

Solve by factorising:
x^2+10x+21=0

Answers

Answer:

[tex]x = -7\\x = -3[/tex]

Step-by-step explanation:

The steps are in the image attached to this response.

The equation for this is ax^2+bx+ c. You get the answer by finding factors of A and C; multiply them to each other so example after you find a factors of A which would be D and E, and B which would be F and G; multiply D with F and E with G. After that see if the two answers you got add or subtract to get the same number as B. Find both of the factors like for this example the best factors to use for A well is 1•1 because thats the only factor possible and for C the best factor is 3•7 because since there both just multiply by one if you add them together you get 10. After you do all that this is the formula (Dx+/-G)(Ex+/-F) plug all the numbers in and then you get the answer (1x+7)(1x+3) more formal way:(x+7)(x+3)

P.S if you want to check its right make it back into a quadratic equation: (D•E)(D•F)+(G•E)+(G•F)=ax^2+bx+c

A jar contains 3 blue cubes 3 blue spheres and 6 green cubes and 4 green spheres. If you select an object at random, what is the probability that the object is green or a cube?

Answers

Answer:

it would be around 62%

Step-by-step explanation:

since there are 10 chances for the object to be green or a cube and 16 objects in total, the fraction would be 10/16. 10/16 simplified is 10 divided by 16 = 0.62. when you turn that into a percent it would be about 62%

Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which of these loan terms will have the lowest total cost. A) 2 years at 4% interest B) 3 years at 3% interest C) 4 years at 1% interest D) 5 years at 2% interest

Answers

Answer:

d

Step-by-step explanation:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

a. 6000x (1 + 0.04/12)^24 = 6498.86

b. . 6000x (1 + 0.03/12)^36 =6564.31

c. . 6000x (1 + 0.01/12)^48 = 6244.76

d. . 6000x (1 + 0.05/12)^60 =6630.47

Elena made two batches of food to put in a bird feeder. She uses 1/8 cups of cracked corn, 3/4 cups of sunflower seeds, and 1/4 of dried cranberries for each batch. What is the best estimate of the total amount of bird food she made?

Answers

Elena made 2 batches of bird food, each with 1/8 cup cracked corn, 3/4 cups sunflower seeds, and 1/4 cup dried cranberries, for a total of 1.75 cups of bird food.

Elena made two batches of bird food using a combination of cracked corn, sunflower seeds, and dried cranberries. Each batch uses 1/8 cup of cracked corn, 3/4 cup of sunflower seeds, and 1/4 cup of dried cranberries.

To find the total amount of bird food she made, we need to add the ingredients of the two batches together.

Since she made two batches and each batch contains 1/8 cup of cracked corn + 3/4 cup of sunflower seeds + 1/4 of dried cranberries, the total amount of bird food is 2 × (1/8+3/4+1/4) = 2 × (7/8) = 7/4 = 1.75 cups.

This is the best estimate of the total amount of bird food made by Elena. It's important to note that this estimate is based on the assumption that the proportion of ingredients in each batch is the same, and that the ingredients are measured accurately.

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What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? round to the nearest tenth

A. 24.8 in.
B. 28.4 in
C. 35.6 in
D. 50 in

Answers

The answer is C. 35.6 Inches

Answer:

answer is c

Step-by-step explanation:

The cost of hiring a plumber is shown by the equation � = 100� + 75, where n is the number of hours
worked, and C is the total cost to hire the plumber. The plumber wants to earn at least $200 per job,
and will work for a maximum of 6 hours for each job.
(a) What is the minimum and maximum number of hours that the plumber will work?

Answers

Answer:

The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.

Step-by-step explanation:

What is an equation of the line that passes through the points (-3, 8) and (4, 1)?

Answers

Answer:

y=mx+c

m=(8-1)÷(-3-4)

=7÷-7

=-7

8=-7(-3)+c

8=21+c

c=-13

y=-7x+c

i hope it is correct :)

options:

Reflection across the y-axis
Translation to the left
Reflection across the x-axis
90° counter clockwise Rotation

Answers

Answer: Translation to the left

Step-by-step explanation: Although it may appear at first that this graph represents a reflection across the y-axis, it actually represents a translation 7 units to the left. Every point in the object is moved in the same direction and the same distance to form the new image. If you count the number of units between A and A' or B and B' (and so on), you will find that each point has been shifted to the left 7 times.

If f(x)= x² (x≠2), then lim f(x) =4? Can I think of this as ignoring the x≠2 rule?
x→2

Answers

Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.

Step-by-step explanation:

Could someone help me

Answers

[tex]\cfrac{6a^2 + 21a}{3a^2}\implies \cfrac{6a^2 }{3a^2}+\cfrac{21a}{3a^2}\implies 2+\cfrac{7}{a}[/tex]

what is the volume of a box with the height of 3/2 inches and a length of 7/2 inches and a width of 5/2 inches

Answers

Answer:

13.125 in³

Step-by-step explanation:

So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.

Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.

i really need help with this one.

Answers

Y will be eliminated

Jason took his Siberian Husky dog to the veterinarian. The dog was put on a scale and found to weigh 52 lb. Assume that the population mean weight of Siberian Huskies is 49 lb. with a standard deviation of 7. The weights of Huskies are normally distributed.

What is the approximate percentage of Huskies that weigh less than Jason's dog?

a) 67%
b) 40%
c) 33%
d) 60%

Answers

Answer:

im kinda not smart but i think its B

Step-by-step explanation:

if g varies inversely as the square root of h, and g = 9 when h = 121, find g when h = 81.

Answers

If g varies inversely as the square root of h, this means that the product of g and the square root of h is constant. We can represent this relationship using the equation g*sqrt(h) = k, where k is the constant value.

We are given that g = 9 when h = 121, so we can substitute these values into the equation to find the constant:

9sqrt(121) = k

Simplifying this expression gives us:

k = 911 = 99

Now that we know the value of the constant, we can use the equation to find g when h = 81:

g*sqrt(81) = 99

Solving for g gives us:

g = 99/sqrt(81) = 99/9 = 11

Therefore, when h = 81, g = 11.

tina worked out the median of the number of points scored to be 5
a) explain why it's not possible for the median to be 5?

number of points - frequency
0 1
1 3
2 5
3 4
4 3

Answers

Answer:

Could you explain this more nicley, this is quite hard to read

Step-by-step explanation:

if u answer this u are a god at math

Answers

Answer:

its 90

hope this helped

Step-by-step explanation:

Answer:90

Step-by-step explanation:

My favorite recipe for lemonade calls for 4 cups of water to 3/4 cups sugar. How
much sugar would I need for 6 cups of water?
Hint: One way to solve this would be to find the unit rate for 1 cup of water, then
use a proportion to find 6 cups of water.

Answers

Answer and Step-by-step explanation:

To find the unit rate, divide the 4 cups of water and the [tex]\frac{3}{4}[/tex] cups sugar by 4 to get a unite rate for 1 cut of water.

4 divided by 4 equals 1.

[tex]\frac{3}{4}[/tex] divided by 4 equals [tex]\frac{3}{16}[/tex].

Now, we multiply [tex]\frac{3}{16}[/tex] by 6.

[tex]\frac{9}{8}[/tex] is how many cups of sugar that needs to be measured for 6 cups of water.

#teamtrees #PAW (Plant And Water)

Molly needs to classify the triangle below based on angles. Which class is correct? 60° 50° 70° A. acute triangle О B. isosceles triangle C. equilateral triangle D. obtuse triangle​

Answers

Answer:

A. Actute triangle

Step-by-step explanation:

Is A because an acute triangle is a triangle where all the angles are the same.

Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.

Can not be C. because equilatiral triangles are triangles with sides that are all the same.

Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.

So it has to be A.

Translate the sentence into an equation.
Five more than the product of a number and 6 equals 4.
Use the variable w for the unknown number.

Answers

Answer:

The to your question is 5w+6=4

Answer:

Below,

Step-by-step explanation:

Produce of w and 5 = 6w

Adding 5 gives  6w + 5 so the equation is:

6w  + 5 = 4.

is 9.2 rational or irrational?

Answers

Answer:

Rational number

Step-by-step explanation:

it's a decimal

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