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4 years ago

Help me plz, thanks!

Mathematics

2 answers:

xeze [42]4 years ago

6 0

Line segments AD and DC are congruent. We know this because of the two slash marks that are on the line segments.

Knowing that they are congruent, we can determine that they are equal to one another.

AD = DC

y + 6 = 2y

Subtract y from both sides of the equation.

6 = y

Knowing that 6 is y, solve for both AD and DC.

AD = 6 + 6 = 12

DC = 2(6) = 12

Solution: DC is 12

Marta_Voda [28]4 years ago

5 0

AD = DC
y + 6 = 2y
y - 2y = -6
-y = -6
y = 6
DC = 2y = 2(6) = 12

answer
DC = 12

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2 years ago

if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?

diamong [38]

Answer:

All the right triangles will be similar.

Step-by-step explanation:

See the attached diagram.

Let us assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.

Since the slope of the line OP is constant and assume that it makes x° with the positive x-axis.

Hence, $\tan x = \frac{AC}{BC} = \frac{A'C'}{B'C'}$

⇒ $\frac{AC}{A'C'} = \frac{BC}{B'C'}$

Therefore, the sides of the two right triangles are in the same ratio and hence, Δ ABC and Δ A'B'C' are similar.

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4 years ago

use a system of linear equations with two variables and two equations to solve. a number is 11 more than another number. twice t

Eva8 [605]

The value of required two numbers x and y are 7 and -4 respectively. These values are find out using Elimination method.

Let the required first number and second numbers be x and y respectively .

We have given that, one Number is more than other by 11

i.e., the difference of two numbers is equal to 11

x - y = 11. …..(1)

And twice the sum of the two numbers is 6 i.e.,

2(x + y) = 6 => 2x + 2y = 6 => x +y = 3 …….(2)

Now , equation (1) and (2) are linear equation with two variables x and y .

We shall solve above two equations and find out the value of two variables. Using Elimination method , In which value of one variable is find out by eliminate the second variable through their coefficient comparison.

Added the equation ( 1) and (2) we get, 2x = 14 => x = 7

Put the value of x in equation (1) we get,

7 – y = 11 => y = -4

Thus, we get the values of two variables x and y is 7 and -4 respectively.

To learn more about linear equation, refer:

brainly.com/question/21243732

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1 year ago

Simplify,<br> Rewrite the expression in the form 2n.<br> 2.2.2.2.2.2.2.2<br> 2.2.2.2

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Step-by-step explanation: if I’m wrong just watch the video for a hint it helps

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3 years ago

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