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4 years ago

Solve and check SOLVE: 2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4

Mathematics

1 answer:

vlada-n [284]4 years ago

8 0

Good morning ☕️

______

Answer:

x=4

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Step-by-step explanation:

-Solving:

2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4

2x + 5 – 6x + 21 = 6x – 10 – 4

-4x + 26 = 6x - 14

10x= 26+14

10x=40

x=4

-Checking:

x=4

2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10

2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.

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Find the number that belongs in the green box. round your answer to the nearest tenth.

Delicious77 [7]

Answer:

4.6

Step-by-step explanation:

Use sine rule to find the number that belongs to the box.

Thus:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

a = ?? (the number in the green box)

b = 5

A = 38°

B = 42°

Plug in the values

$\frac{a}{sin(38)} = \frac{5}{sin(42)}$

Multiply both sides by sin(38)

$\frac{a}{sin(38)} \times sin(38) = \frac{5}{sin(42)} \times sin(38)$

$a = \frac{5 \times sin(38)}{sin(42)}$

$a = 4.6$ (nearest tenth)

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4 years ago

A 35-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36 m. Find the length

Troyanec [42]

About 50.2
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3 years ago

Pls help Use the rhombus to answer the question

Ierofanga [76]

Answer:

Options A, C and D

Step-by-step explanation:

Properties of a rhombus,

1). All sides are equal and it has two parallel sides.

2). Opposite angles of a rhombus are equal.

3). Diagonals are perpendicular bisector.

4). Sum of two adjacent angles is 180°.

By using these properties,

Options A, C and D are the correct options.

7 0

3 years ago

Solvex2 - 4x=21 using the zero product property.

Ierofanga [76]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

5 0

3 years ago

One day, the appliance store offers a $50 discount on all purchases over $300. The store also has a sale with 15% off the price

vova2212 [387]

Answer:

$327.25

Step-by-step explanation:

so first we apply the $50 discount

$435-$50= $385

then we find how much the 15% discount is worth by turning the percent into a decimal and multiplying by the $385

385•0.15= 57.75

now we subtract the value of the discount from the newer price

385-57.75= $327.25

hope this makes sense <3

7 0

3 years ago