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Katen [24]
3 years ago
6

-2z=4z Solve the equation

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
8 0

-2z = 4z

0 = 6z

z = 0

Answer: z=0

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Could someone help me solve this problem?
Ann [662]

Answer:

\boxed{x=58} & \boxed{m \angle C = 60}

Step-by-step explanation:

You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.

Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.

  • A+B+C=180
  • (x+4)+(x)+(x+2)=180

Combine like terms on the left side of the equation.

  • 3x + 6 = 180

Subtract 6 from both sides of the equation.

  • 3x=174

Divide both sides of the equation by 3.

  • x=58

Now that you've found the value of x, you can use this value to plug into the expression for angle C.

  • C=x+2
  • C=(58)+2
  • C=60

Therefore, the final answer is:

x=58\  \text{and} \ m \angle C = 60

4 0
3 years ago
Read 2 more answers
a point is randomly chosen in the triangle shown below. which statement is true about the likelihood of the location of the poin
storchak [24]
Where is the diagram.
Just Repost it again.
3 0
3 years ago
You invest $25/month at a rate of 3.25% APR compounded monthly for 30 years. What is the total interest earned and final balance
VikaD [51]

The total interest earned is 40.75 and the final balance is 65.75

<u>Solution:</u>

Given, principle amount P = 25

Interest rate r = 3.25\% = \frac{3.25}{100} = 0.0325

Times compounded per year n = 12

Time in years t = 30

Amount \ A=P\left(1+\frac{r}{n}\right)^{n t}

On substituting the values we get

A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75

Interest I = A - P [since, A = P+I]

\Rightarrow 65.75 - 25= 40.75

7 0
3 years ago
What is the only solution of 2x2 + 8x = x2 – 16
Blababa [14]
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.
6 0
3 years ago
Read 2 more answers
An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1950 feet
Blizzard [7]

Answer:

889.70 feets

Step-by-step explanation:

From the solution diagram attached :

C = 180 - (40 + 45) = 95°

According to the sine rule :

Sin95 / 1950 = Sin40 / b = Sin 45 / a

1950 sin40 / sin 95 = b = 1248.22 ft

1950 sin 45 / sin 95 = a = 1384.13 ft

Sin 40 = h / 1384.13

h = 1384.13 * sin 40

h = 889.70 feets

3 0
4 years ago
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