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Wittaler [7]
3 years ago
11

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
pogonyaev3 years ago
8 0

Answer: x = 5

Step-by-step explanation:

Here we want to solve the equation:

-2(x + 6) + 3 = -11x + 4(x + 4)

the first step is distribute the parentheses at both sides:

-2x -12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

now, we put all the termx with an x in one side, and the other ones in the other side.

-2x + 7x = 16 + 9

5x = 25

now we divide by 5 in both sides, in this way we can isolate x.

5x/5 = 25/5

x = 5

lawyer [7]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

We are given a linear single variable equation of x and we have to get the value of x from the equation.

Now, the equation is

- 2 ( x + 6 ) + 3 = - 11x + 4 ( x + 4 )

⇒ - 2x - 12 + 3 = - 11x + 4x + 16

⇒ 5x = 25

⇒ x = 5 (Answer)

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4 0
3 years ago
If BTS=GHD BS=25 TS=14 BT=31 GD=4x-11 S=56 B=21 and H=(7y+5) find the values of x and y
77julia77 [94]

Given:

Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.

To find:

The values of x and y.

Solution:

We have,

\Delta BTS\cong \Delta GHD       (Given)

BS=GD                       (CPCTC)

25=4x-11

25+11=4x

36=4x

Divide both sides by 4.

9=x

In ∆BTS,

\angle B+\angle T+\angle S=180^\circ    (Angle sum property)

21^\circ+\angle T+56^\circ=180^\circ

77^\circ+\angle T=180^\circ

\angle T=180^\circ-77^\circ

\angle T=103^\circ

Now,

\angle T=\angle H            (CPCTC)

103=7y+5

103-5=7y

98=7y

Divide both sides by 7.

14=y

Therefore, the value of x is 9 and value of y is 14.

3 0
2 years ago
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