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AURORKA [14]
2 years ago
7

ZA and ZB are complementary. If m ZA = (x - 6) º and m2B = (3x) °, find the value of x.

Mathematics
2 answers:
attashe74 [19]2 years ago
8 0

Answer:

x=24

Step-by-step explanation:

If angles are complementary, that means they will add to 90 degrees. We know that ∠A and ∠B are complementary, therefore,

∠A+∠B=90

∠A is equal to x-6, and ∠B is equal to 3x.

x-6+3x=90

Combine like terms (all the terms with variables)

(x+3x)-6=90

4x-6=90

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

6 is being subtracted from 4x. The opposite of subtraction is addition, so add 6 to both sides.

4x-6+6=90+6

4x=90+6

4x=96

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by 4.

4x/4=96/4

x=96/4

x=24

Orlov [11]2 years ago
5 0

Answer:

x = 21°

Step-by-step explanation:

Complementary angles have a sum of 90°. If ∠A + ∠B = 90°, we know that

x - 6° + 3x = 90°.

4x - 6° = 90°

4x = 96°

x = 24°

Hope this helps!

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What is two hundred sixty-five thousandths in standard form?
Debora [2.8K]

Answer:

10^-1*2.65

Step-by-step explanation:

two hundred sixty-five thousandths= 0.265

We need a number between 1 and 10, to do the multiplication in standard form, so 0.265 turns into 2.65.

Because 2.65 becomes, smaller we use a negative power. We only move the decimal place once to the left, so we would multiply 2.65 by 10^1.

10^-1*2.65=0.265

7 0
3 years ago
Help me pls UoU Uwu<br> \djjn
Nataly [62]

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

\frac{18-14}{1-0}

Simplify:

18 - 14 = 4

1 - 0 = 1

\frac{4}{1}=4

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

3 0
2 years ago
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
Vaselesa [24]

Answer:

Javier's equation is not correct because the variable "a" should be multiplied by  only and then added to

Step-by-step explanation:

Let

a------>is the tree’s age in years

we have that

-------> Javier's equation

we know that

The equation that represent the situation is equal to

Solve for a

Multiply by  both sides

Javier's equation is not correct because the variable "a" should be multiplied by  only and then added to

6 0
3 years ago
Read 2 more answers
Please help will give medal!!!!
shepuryov [24]
If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
                           c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
                                   a / sin A = b / sin B = c / sin C
7 0
3 years ago
Tell whether you can make a unique triangle or no triangle with these conditions: angles measuring 45° and 90°
just olya [345]

Answer:

  The triangle with those measures will be unique.

Step-by-step explanation:

The triangle described is an isosceles right triangle with side lengths 10 cm. All such triangles are congruent (it is unique).

7 0
3 years ago
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