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kondor19780726 [428]
2 years ago
6

I need help fast! The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
1 answer:
cluponka [151]2 years ago
7 0
180-(64+71) = 45
8x-11 = 45
8x = 45+11
8x = 56
x = 56 / 8
x = 7
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iren2701 [21]
Taking over his thoughts is the answer
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2 years ago
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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
The position of a swimmer below sea level is represented by –5 meters. The diver descends an additional 3 meters below sea level
Damm [24]
The answer is negative 65
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3 years ago
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Evaluate the expression when X= -2 x^2 + 9x + 3
TiliK225 [7]

Answer:

-11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x² + 9x + 3

x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  (-2)² + 9(-2) + 3
  2. Exponents:                                                                                                        4 + 9(-2) + 3
  3. Multiply:                                                                                                             4 - 18 + 3
  4. Subtract:                                                                                                            -14 + 3
  5. Add:                                                                                                                   -11
3 0
2 years ago
Click or touch the graph to plot the points.
lina2011 [118]

Answer:

the answer is C

Step-by-step explanation:

the y intercept is on the right, so (x, y)

and the third option has (4,8) so 8 is on the y

4 0
3 years ago
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