Mathematics High School

solve for x
20
33
14

Answers

Answer 1

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

Answer 2

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

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Related Questions

solve the quadratic equation
8x^2+16x+8=0

Answers

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

x = -1

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex] {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

Smart people of Brainly who know math

Plot function G on the graph

(Picture provided)

Answers

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

What is function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

1, -2≤x≤4

5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

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Max is going to eat either a slice of pie, an apple, or drink a cup of cider for a snack. He is also going to buy pumpkin or a hat. How many different ways can max eat one snack or buy one item

Answers

Answer:

6 different ways

Step-by-step explanation:

pie, pumpkin

pie, hat

apple, pumpkin

apple, hat

cider, pumpkin

cider, hat

6 different ways! ....

A principal of a school with 484 students collected information about how many of the students wear glasses

Answers

Answer:

students

Step-by-step explanation:

you're missing a part?

A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has
a uniform width, and the area covered by the garden and walkway is 192 square feet.
What is the width of the walkway?
O 3.5 feet
O 6 feet
O 2 feet
O 4 feet

Answers

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

How to get the width of the walkway?

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Length = 8ftWidth = 12ft

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Length = 8ft + 2xWidth = 12ft + 2x

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2 = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

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Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12

Answers

Answer:

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.

A seal has 1,500 nerve per whisker. That is 10 times as many as a rat has. How many nerve per whisker does a rat have?

Answers

Answer:

150

Step-by-step explanation:

1500 divided by 10

There are 150 nerve per whisker does a rat have.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A seal has 1,500 nerve per whisker.

That is 10 times as many as a rat has.

So, the number of nerve per whisker does a rat have

= 1500/ 10

= 150 nerve

Learn more about Unitary Method here:

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HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer

B

Explanation

f+g= (2x^2+1) + (3x-3)
f+g= 2x^2+1+3x-3
f+g=2x^2+3x-2

Hence the statement or equation 2x^2+3x-2 is a quadratic equation

The sum of the measurement of angle M and angle R is 180 degrees

Answers

Answer:

Step-by-step explanation:

it is 5

James is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures. He needs a total of at least 1,000 signatures before he can submit the petition. James would like to collect the same number of signatures each week.

Answers

Answer:

80 per week

Step-by-step explanation:

1000-520= 480

480/6=80

please help meeeeee! pleaseeeee

Answers

Answer:

905in²

Step-by-step explanation:

need help with part B as well

PART B write an equation to model the temperature in Baltimore on this day

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

A) The midline would be the average of the high and low temperatures, therefore d=(44+26)/2=70/2=35. The amplitude would be the distance from the high and low temperatures to the midline. Since 44-35=9 and 35-26=9, then the amplitude is a=9.

B) The equation would be [tex]T=9sin(\frac{\pi}{12}x)+35[/tex]

pls answer ASAP pls the quarter ends at 12:00

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes

Answers

Answer:

She has 18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)