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4 years ago

The two triangles illustrated below are similar. What are the values of x and y?

Mathematics

2 answers:

Paul [167]4 years ago

5 0

5/20=x/28 therefor x equals 7 and since the triangles are similar to each other so y =120

Leokris [45]4 years ago

3 0

First, you must find out what the similarity is between the two triangles to use it as a point of reference for the rest of the equation.
In order to find x, divide 20 by 5, this equals 4. now divide 28 by 4. This equals 7. So x equals 7.
Now we need to find y. The angle of the smaller triangle is 120*. Since the triangles are similar, that means the angle is the same for both triangles. So y equals 120*.
Hope this helps!

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LiRa [457]

$4x - 7x - 4x + 7 \sqrt{x} + \sqrt{x}$

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5 0

2 years ago

A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren

Romashka [77]

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

Solution :

It is given that height after 24 hours of use is 60 feet .

So , height loose in 1 hours is :

$h=\dfrac{60}{24}\ feet\\\\h=2.5 \ feet$

Now , time taken to cover a height of 143.6 feet is :

$t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours$

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

6 0

4 years ago

The sum of the ages of Berma, her mother Rinna and her father Erwin is 80. Two years from now, Rinna’s age will be 13 less than

jekas [21]

Answer: Berma is 5 years old

Rinna is 38 years old

Erwin is 37 years old

Step-by-step explanation:

Let x represent Berma's age

Let y represent Rinna's age

Let z represent Erwin's age

Since the sum of their ages is 80,

x + y + z = 80 - - - - - - -1

Two years from now, Rinna’s age will be 13 less than the sum of Erwin’s age and twice Berma’s age. This means that

y +2 = [ (z+2) + 2(x+2) ] - 13

y +2 = z + 2 + 2x + 4 - 13

2x - y + z = 13 + 2 - 4 -2

2x - y + z = 9 - - - - - - -2

Three years ago, 15 times Berma’s age was 5 less than the age of Rinna. It means that

15(x - 3) = (y - 3) - 5

15x - 45 = y - 3 - 5

15x - y = - 8 + 45

15x - y = 37 - - - - - - - -3

From equation 3, y = 15x - 37

Substituting y = 15x - 37 into equation 1 and equation 2, it becomes

x + 15x - 37 + z = 80

16x + z = 80 + 37 = 117 - - - - - - 4

2x - 15x + 37 + z = 9

-13x + 2 = -28 - - - - - - - - -5

subtracting equation 5 from equation 4,

29x = 145

x = 145/29 = 5

y = 15x - 37

y = 15×5 -37

y = 38

Substituting x= 5 and y = 38 into equation 1, it becomes

5 + 38 + z = 80

z = 80 - 43

z = 37

6 0

3 years ago

Which numbers are irrational?

Ahat [919]

14Sqrt
that is the answerr igot

4 0

3 years ago

Why does it make sense that 4 x (-3) and -3 x 4 have the same product?

Contact [7]

Answer:

hello!!!

We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example

3*4= 4+4+4

in this same way we can say that

[-12]=(-3)+(-3)+(-3)+(-3)

also,

4(*-3)=(-12)

for the second equation we can take it same as the above one

So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)

And so now we can say

FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY

(-a) *(b) = (-b)*(a) = -(a*b)

HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT

7 0

1 year ago