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slega [8]
2 years ago
5

5(x + 6) – 2x = 3(x + 10)

Mathematics
1 answer:
Maslowich2 years ago
8 0

Answer:

x = 0

Step-by-step explanation:

We know: 5(x + 6) – 2x = 3(x + 10)

Distribute: 5x + 30 - 2x = 3x + 30

Rearrange equation: 5x - 2x - 2x = 30 - 30

Combine like terms: 1x = 0

Divide: x = 0

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Prove that the following four points will form a rectangle when connected in order
Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between A(0, -3) and C(2, 8),

AC = \sqrt{(8+3)^2+(2-0)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = \sqrt{(5-0)^2+(6+4)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0
3 years ago
In 3 and 4, Classify each triangle by its sides and then by its angles
romanna [79]

Answer:

3. Sides: Equilateral

Angles: Acute

4. Sides: Isosceles

Angles: Right

Step-by-step explanation:

3. Sides: Equilateral because in an equilateral triangle all sides are equal.

Angles: Acute because in an acute triangle all angles are acute.

4. Sides: Isosceles because in an isosceles triangle two legs are equal.

Angles: Right because in a right triangle, one angle is right.

7 0
2 years ago
If we know that 5 cups of flour is used to make 20 biscuits, figure out how many biscuits are made with 15 cups of flour
aleksley [76]

Answer:

100

Step-by-step explanation:

5×4=20

5×15=100

therefore 15 cups of flour can make 100 biscuits

6 0
2 years ago
I=prt for t I=105 p=700 and r=0.05
Pachacha [2.7K]
t = 3   

Simple interest will be derived by multiplying the principal, the interest rate, and the term.

Interest = Principal x Rate x Term

Interest = 105
Principal = 700
Rate = 0.05
Term = ?

Based on the Simple Interest formula, 

term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3

7 0
2 years ago
Here's an algebra question I need help with... (I'm not sure if I selected the right answer)
Mandarinka [93]

Answer: You selected the correct one

Step-by-step explanation:

I beleive this is right, qoute me on this!!!

5 0
2 years ago
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