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3 years ago

Solve for X and round to the nearest tenth

Mathematics

1 answer:

horrorfan [7]3 years ago

5 0

Answer:

146 = x

Step-by-step explanation:

20+14=34

180 - 34 = 146

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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

5 0

3 years ago

Use the figure part 2 A

denpristay [2]

Answer:

see explanation

Step-by-step explanation:

If ∠ D ≡ ∠ CED then CD ≡ CE

The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.

Here we are using the converse of base angle theorem (b)

That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.

7 0

3 years ago

Read 2 more answers

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Vladimir [108]

AB = X^2(3X +2)

C^2 = (x - 3)^2

AB - C^2 = 3x^3 + 2x^2 - (x^2 - 6x + 9)

= 3x^3 + x^2 + 6x - 9

3 0

3 years ago

Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure

Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24 Combine like terms

9x + 6 = 12x - 24 Subtract 6 from both sides

- 6 -6

9x = 12x - 30 Subtract 12x from both sides

-12x -12x

-3x = -30 Divide both sides by -3

x = 10

Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.

Exterior : 12(10) - 24

120 - 24 = 96

This means the measure of the exterior angle at vertex B is 96 degrees.

6 0

3 years ago

Section B

MA_775_DIABLO [31]

Answer/Step-by-step explanation:

Using α as reference angle:

Perpendicular side = BC (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = AB (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AC (the side opposite to the right angle, 90°)

Using β as reference angle:

Perpendicular side = AB (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = BD (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AD (the side opposite to the right angle, 90°)

5 0

4 years ago