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ryzh [129]
3 years ago
15

-3 (3x-3) = 4/5 (5x-10)

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:

x=17/13

Step-by-step explanation:

-3(3x-3)=4/5(5x-10)

-9x+9=4x-8

-13x= -17

x=17/13

Anna35 [415]3 years ago
8 0

Answer:

1\frac{4}{13}

Step-by-step explanation:

-3 (3x-3) = 4/5 (5x-10)

-----------------------------

This also equals to:

-3*(3x-3)=4/5*(5x-10)

-----------------------------

Start by opening the parentheses:

-3*(3x-3)=4/5*(5x-10)

Then use distributive property:

(-3*3x) + (-3*-3)= (4/5*5x) + (4/5*-10)

Simplify the equation:

(-3*3x) + (-3*-3)= (4/5*5x) + (4/5*-10)

-9x+9= 4x-8

    +8       +8

-9x+17= 4x

+9x      +9x

17= 13x

÷13 ÷13

17/13=x

17/13=

1\frac{4}{13}

-----------------------------

:) Have a good day!

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Which statement best explains the relationship between lines FG and HJ?
murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-1}{0+4}

S=\frac{-3}{4}

And, the slope of the line HJ is:

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-4}{-4-0}

S=\frac{3}{2}

Now, the slope of FG=\frac{1}{slope of HJ}

\frac{-3}{4}=\frac{2}{3}

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

6 0
3 years ago
Read 2 more answers
Euleuy VI, Ulalla PUSIUI 407220)
Artyom0805 [142]

Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

3 0
3 years ago
HURRY
Roman55 [17]

Answer:

C

Step-by-step explanation:

0 = 8 is a false statement which means the system has no solutions

6 0
3 years ago
Please help in this question. I WILL mark brainliest. NO LINKS
deff fn [24]

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

<h2>Area of the shaded area = 24 - 9 = 15</h2>

<em>Hope that helps! :)</em>

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

6 0
3 years ago
A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden
Slav-nsk [51]
I say 12 because that would mean the first rectangle is 6x12 and the second is 10x12
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3 years ago
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