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AlekseyPX
3 years ago
5

Solve for x

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

Option (2). x = 20°

Step-by-step explanation:

In the figure attached,

ΔABC is an equilateral triangle.

By the property of equilateral triangle, all sides of the triangle are equal and measure of all angles of the triangle is 60°.

By this property,

m∠B = 60°

and y = 46 - 16 = 30

By applying Sine rule in ΔBCD,

\frac{\text{sin}60}{BD}=\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{DC}

\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{y}

sin(∠CBD) = \frac{30\times \text{sin}80}{46}

                 = 0.6423

m∠CBD = 39.96

              ≈ 40°

m∠ABD = 60° - 40°

             = 20°

Therefore, Option (2). 20° will be the answer.

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Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con
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Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

Volume \:  of  \: cone   \\ =  \frac{1}{3}  \times Volume \: of \: cylinder \\ =  \frac{1}{3}  \times132\pi  \\ = 44\pi \:  {cm}^{3}

4 0
3 years ago
Read 2 more answers
meghan went to the mall and then out to eat with her friends. at the restaurant, meghan spent 3 dollars more than 1/2 the amount
Lerok [7]
She spent $23.25, how I got my answer.

I divided $13.50÷2=$6.75 then I added $6.75+3=$9.75 then I added $9.75+$13.50=$23.25.

I hope this helps.
4 0
3 years ago
How do you solve multi variable equations?​
Mekhanik [1.2K]
1. Understand what multi-variable equations are.

Two or more linear equations that are grouped together are called a system. That means that a system of linear equations is when two or more linear equations are being solved at the same time.
[1] For example:
• 8x - 3y = -3
• 5x - 2y = -1
These are two linear equations that you must solve at the same time, meaning you must use both equations to solve both equations.

2. Know that you are trying to figure out the values of the variables, or unknowns.

The answer to the linear equations problem is an ordered pair of numbers that make both of the equations true.
In the case of our example, you are trying to find out what numbers ‘x’ and ‘y’ represent that will make both of the equations true.

• In the case of this example, x = -3 and y = -7. Plug them in. 8(-3) - 3(-7) = -3. This is TRUE. 5(-3) -2(-7) = -1. This is also TRUE.

3. Know what a numerical coefficient is.

The numerical coefficient is simply the number that comes before a variable.[2] You will use these numerical coefficients when using the elimination method. In our example equations, the numerical coefficients are:

• 8 and 3 for the first equation; 5 and 2 for the second equation.


4. Understand the difference between solving with elimination and solving with substitution.

When you use elimination to solve a multivariable linear equation, you get rid of one of the variables you are working with (such as ‘x’) so that you can solve the other variable (‘y’). Once you find ‘y’, you can plug it into the equation and solve for ‘x’ (don’t worry, this will be covered in detail in Method 2).

• Substitution, on the other hand, is where you begin working with only one equation so that you can again solve for one variable. Once you solve one equation, you can plug in your findings to the other equation, effectively making one large equation out of your two smaller ones. Again, don’t worry—this will be covered in detail in Method 3.


5. Understand that there can be linear equations that have three or more variables.

Solving for three variables can actually be done in the same way that equations with two variables are solved. You can use elimination and substitution, they will just take a little longer than solving for two, but are the same process.
6 0
3 years ago
Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte
SCORPION-xisa [38]

Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 4(1 + 3i) – (8 – 5i)

= 4 + 12i - 8 + 5i  

He did not distribute the subtraction sign correctly for 8 – 5i.

= -4 + 17i

Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

5 0
2 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30
VMariaS [17]

Answer:1

1. x = 30

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula(n-2)\cdot 180, a 4 sided figures angles will add up to

(4-2)\cdot 180\\\\2\cdot 180\\\\360

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

4x + 3x + 2x + 3x = 360

Combine like terms:

12x = 360

Divide both sides by 12:

x = 30

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = 4\cdot 30 = 120°

∠BCD = 3x = 3\cdot 30 = 90°

∠CDA = 2x = 2\cdot 30 = 60°

∠DAB = 3x = 3\cdot 30 = 90°

Hope this helped!

4 0
3 years ago
Read 2 more answers
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