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Archy [21]
3 years ago
7

Solve the inequality: –3(x + 2) > 4x + 5(x – 7)

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

29/12 > x

Step-by-step explanation:

–3(x + 2) > 4x + 5(x – 7)

Distribute

-3x -6 > 4x +5x-35

Combine like terms

-3x-6 > 9x -35

Add 3x to each side

-3x+3x-6 > 9x+3x -35

-6 > 12x-35

Add 35 to each side

-6+35 > 12x -35+35

29 > 12x

Divide each side by 12

29/12 > 12x/12

29/12 > x

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Which property is (8•9)b=8(9b)
Ludmilka [50]

Answer:

Associative Property

Step-by-step explanation:

When the order of operands remains the same, all operations are identical (multiplication, or addition), and only the parentheses change places, the property involved is the <em>associative property</em>.

6 0
4 years ago
In triangle ABC angle A=45 angle B =40 and a=7.Which equation should you solve to find b?
coldgirl [10]

We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.

We have two angles and opposite sides to these angles.

We will use Law of Sines to solve our given problem.

\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}, where a, b and c are opposite sides corresponding to angles A, B, and C respectively.

The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.

Upon substituting these values in Law of Sines, we will get:

\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}

Therefore, our required equation would be \frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}.

3 0
4 years ago
Please help ill give brianleist answer!!!!
GaryK [48]

Answer:

i think its option ccc ydi aeg

because angle y is congruent to angle a

angle i is congruent to angle d

3 0
3 years ago
Read 2 more answers
What is the coefficient in the expression 10x? -7 ?<br> A 7<br> B. X<br> O c. 10<br> O D. 2
allsm [11]

Answer:

C.) 10

Step-by-step explanation:

8 0
3 years ago
The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length
Nataly_w [17]

Answer:

  3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

  k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0
3 years ago
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