Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
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Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
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Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
Answer:
Step-by-step explanation:
Use the distributive property.
<h3>
What is a distributive property?</h3>
Distributive property is a serving to distribute or allot or disperse.
<u>Distributive property:</u>
A(B+C)=AB+AC
A(B-C)=AB-AC
-10(1-9x)+6(x-10)
<u>Expand.</u>
-10(1-9x)
-10*1=-10
-10*9x=90x
6(x-10)
6*x=6x
6*10=60
6x-60
<u>Rewrite the problem down.</u>
= -10+90x+6x-60
<u>Combine like terms.</u>
90x+6x-10-60
<u>Add the numbers from left to right.</u>
90x+6x=96x
96x-10-60
<u>Finally, subtract the numbers from left to right.</u>
-10-60=-70
Therefore, the final answer is<u> 96x-70.</u>
I hope this helps, let me know if you have any questions.
To learn more about distributive property:
brainly.com/question/2807928
#SPJ1
The area of any triangle is (1/2) x (length of the base) x (height) .
In this problem, we know the triangle's height,
but what is the length of the base ?
The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.
Area = (1/2) x (base) x (height)
Area = (1/2) x (20m) x (17.3m) = <em>173 m²</em>
Hey!
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Question Explanation:
In other words you can write 200,00 using a whole number and a power 10 using scientific notation!
In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.
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Solution:
200,000 / 10 = 20,000
20,000 / 10 = 2,000
2,000 / 10 = 200
200 / 10 = 20
20 / 10 = 2
I divided 200,000 by 10 five times to get a number less than 10.
So, 5 is going to be the exponent.
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Answer:
2 x 10^5
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Hope This Helped! Good Luck!
Answer:
Gross income is money earned before taxes are taken from a paycheck
Step-by-step explanation:
Gross income is money earned before taxes are taken from a paycheck
Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.
Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.
For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted
