All categories

2 years ago

Solve for x. The triangles in each pair are similar please question number 14

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

5 0

Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that

CD/CM = DE/ML = CE/CL

CD = 20 + 12x + 2 = 12x + 22

CE = 30 + 12 = 42

20/12x + 22 = 12/42

By cross multipying, it becomes

12(12x + 22) = 20 * 42

144x + 264 = 840

144x = 840 - 264 = 576

x = 576/144

x = 4

You might be interested in

docker41 [41]

Answer

Step-by-step explanation:

7 0

3 years ago

Help <br><br> X(-X^4)(-x^4)=

Kruka [31]

X(-x^4)(-x^4)=

The answer is x^9

4 0

3 years ago

What is the relationship between capacity and fluid ounces

horrorfan [7]

Capacity is the maximum that the object can hold.

Fluid Ounce is a U.S Customary Unit Measurement for liquid.

Hope it helps! :)

6 0

3 years ago

Read 2 more answers

What are the inverse operations for addition and multiplication?

djyliett [7]

Answer:

Operations Inverse operations

Addition Subtraction

Subtraction Addition

Multiplication Division

Division Multiplication

Step-by-step explanation:

i hope this will help you

6 0

3 years ago

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

4 0

3 years ago