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baherus [9]
3 years ago
10

Two angles are complementary. The larger angle is 30 degrees more than 4 times the smaller angle. Find the measure of each angle

.
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

The angles would be 12 degrees and 78 degrees

Step-by-step explanation:

In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.

x + 4x + 30 = 90

5x + 30 = 90

5x = 60

x = 12

This makes the first angle 12 and we can find the larger angle.

4x + 30

4(12) + 3-

48 + 30

78

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murzikaleks [220]

Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

<h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

<h3>Total cost in this case</h3>

Being "x" the price of the shoes, and knowing that:

  • you apply a discount of $15 first → x -15
  • you apply a discount of 20% through a second discount (
  • (applied on the first discount already made) → 20%×(x-15) → 0.20×(x-15)

the equation in this case is:

<u><em>Total cost= 0.20×(x-15)</em></u>

Finally, the total cost of the shoes is 0.20×(x-15).

Learn more about equations:

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8 0
2 years ago
1. How do you find the solution of the system of equations ? Find x and y.
Westkost [7]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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7 0
4 years ago
Read 2 more answers
Which statements are true regarding undefinable terms in geometry select two options
natali 33 [55]

Answer:

<h2>A plane consists of an infinite set of lines.</h2><h2>A line has one dimension, length. </h2>

Step-by-step explanation:

The choices are

  • A point in the form (x, y) has two dimensions.
  • A plane has a definite beginning and end.
  • A line has one dimension, length.
  • A point consists of an infinite set of lines.
  • A plane consists of an infinite set of lines.

In Ecludian geometry, undefined term are the plane, point and line. Becasue these terms are too intuitive, we don't need to demonstrate them, they just exits, they are too primitive to be defined, that's why they are undefined term.

However, there are some characteristics about each term, for example, a line and a plane are infinite, the plane is formed by infinite of lines and the line is formed by infinite set of points. Additionally, a line has one dimension only, because it's formed by infinte set of points, which doesn't have a dimensions as a singular term, but all together form a length.

Therefore, the right answers are C and E.

4 0
4 years ago
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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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tatuchka [14]

Answer: $45

Step-by-step explanation:

15/4 = 3.75

Each shirt costs $3.75

3.75 * 12 = 45

6 0
3 years ago
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