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leonid [27]
3 years ago
14

What is the length of side AC of the triangle?

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

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3 years ago
I need help asap<br> Please
stepladder [879]

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3 years ago
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy
tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

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6 0
3 years ago
Common factor of 20 25 40
Harlamova29_29 [7]
That's very easy. The number 5 can go to 20, 25, and 40
5 0
4 years ago
Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she e
Viktor [21]

Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.

<h3>What is the mean absolute deviation of a data-set?</h3>
  • The mean of a data-set is given by the sum of all observations divided by the number of observations.
  • The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
  • The mean absolute deviation represents the average by which the values differ from the mean. Hence, a higher value of the mean absolute deviation means that the data-set is more spread out.

In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.

More can be learned about the mean absolute deviation at brainly.com/question/3250070

7 0
2 years ago
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