Que número disminuido en 32% es 520

Step-by-step explanation: For this factored problem, you see that -36 is negative, as well at -9. This shows you that you need to find two numbers that multiply to get -36, and add up to get -9. Two numbers that both satisfy these requirements are -12 and 3. They multiply to get -36, and add to get -9.

Once you have found your values, you plug them into (x+/- __)(x+/- __), which is (x-12)(x+3).

But since the problem asks you to find the zeroes, you set each factor equal to zero, like this:

x-12=0 and x+3=0

Then solve and you have you answer!

4 0

3 years ago

Question 1

Ahat [919]

Answer: x = 22

Explanation:

1) Corresponding sides and correspoding angles of congruent triangles are equal.

2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.

That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:

∠A and ∠D are congruent
∠B and ∠ E are congruent
∠C and ∠F are congruent
Segment AB and segment DE are congruent
Segment BC and segment EF are congruent
Segment AC and segment DF are congruent

In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.

Hence, you set this equation: (1/2)x - 1 = 10

Solving for x:

(1/2)x = 10 + 1
(1/2)x = 11
x = 2(11)
x = 22 ← answer

5 0

4 years ago

A company makes gift boxes in different sizes following the pattern shown below. What is the volume of the fourth gift box to th

AVprozaik [17]

The volume of the fourth box is of 410.1 cubic inches.

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The volume of a rectangular prism is given by the base area multiplied by the height, that is:

$V = A_bh$

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For the first three boxes, the height is constant at 9 inches.
At the base, the edge length is multiplied by 1.5 each time, as $\frac{4.5}{3} = \frac{3}{2} = 1.5$ , thus, for the fourth box, the edge length, in inches, will be of $4.5 \times 1.5 = 6.75$

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Square base, of length 6.75 inches, thus:

$A_b = 6.75^2 = 45.5625$

Height of 9 inches, thus $h = 9$ and:

$V = A_bh = 45.5625(9) = 410.1$

The volume of the fourth gift box will be of 410.1 cubic inches.

A similar problem is given at brainly.com/question/23756783

4 0

3 years ago