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irga5000 [103]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer: x = 15

Step-by-step explanation: The first thing to note is that what we have here are two similar triangles. First we have triangle ABC and secondly we have triangle EDC. Line BD is a transversal that cuts line AE at point C. Hence we can deduce that angle ACB is equal in measurement to angle ECD (opposite angles). Next we also observe that the other two angles are right angles, that is, 90° in size. Therefore we can conclude that the other two angles (angle ABC and angle EDC) are also of the same measurement.

We can now establish the ratio of the similar sides.

Line AB = Line ED

Line AC = Line EC

AB/ED = AC/EC

24/40 = 2x/3x + 5

3/5 = 2x/3x + 5 {the left hand side has been reduced to it's simplest form}

Next we cross multiply and that gives us

3(3x + 5) = 5(2x)

9x + 15 = 10x

Subtract 9x from both sides of the equation

15 = 10x - 9x

15 = x

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sveticcg [70]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 (\pir^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle = \pi d

The length of the rectangle would be the height of the cylinder

We can use this:

(\pi d * h) + 2(\pi r^2)

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
The baby yoda is on sale for $14.00. This 14.5% off his regular price. What is his regular price?
Cloud [144]

Answer:

$16.03

Step-by-step explanation:

7 0
3 years ago
1.9 grams divided by 2
cluponka [151]
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4 0
4 years ago
On 1 st March, 2020 Mr. Mohit started a Furniture business in GANDHI NAGAR Mr. Mohit invested Rs 50,00,000.
d1i1m1o1n [39]

Answer:

Answer to the following question is as follows;

Step-by-step explanation:

Given:

Amount invested by Mr. Mohit = Rs. 50,00,000

Computation:

Books of (...... LTD)

Journal entries

Date                         Particular                        Debit        Credit

March 1         Cash                     A/C Dr.     50,00,000

                     To Capital            A/C Cr.                         50,00,000

(Being Amount invested in new business)

8 0
3 years ago
In the triangles below, what value of x would make the triangles similar?
Flauer [41]

Answer: 15

Step-by-step explanation:

Each side of the smaller triangle is scaled up by 2.5.

4x2.5=10

8x2.5=20

6x2.5=15

3 0
3 years ago
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