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algol13
3 years ago
13

Corgurent or supplementary

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

Congruent:

B, E, F, G

The rest are supplementary.

Step-by-step explanation:

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On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
Find the slope of the line passing through (3, 7) and (6, 11). Note: Use the y-y/x-x formula!
lana [24]

Answer:

Slope of the line       m = \frac{4}{3}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( 3,7) and (6,11)

Slope of the line

        m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

       m = \frac{11-7}{6-3}      

        m = \frac{4}{3}

Slope of the line       m = \frac{4}{3}

6 0
3 years ago
I need help please what is the answer to negative 3 fourths x plus 2 equals negative 8​
Savatey [412]

x=8

Hope this helps!!!!!!!

3 0
3 years ago
Read 2 more answers
Let p: A number is greater than 25.
maria [59]
We are given that:
p is greater than 25, this means that p>25
p ∈ ]25,∞[ ...........> interval I

q is less than 35, this means that q<35
q ∈ ]-∞,35[ ...........> interval II

The given condition <span>p ∧ q is true means that (p and q) is true. In other word, their intersection is true.
Therefore, the final result would be the intersection between the two intervals (interval I and interval II)

Bases on the above, the final answer would be:
</span>]-∞,35[  ∧ ]25,∞[  which is ]25,35[<span>

</span>
8 0
3 years ago
Read 2 more answers
20. (01.03 MC)<br> What is the simplified expression<br> ? (1 point)
ahrayia [7]

Answer:

\displaystyle 3^2

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>Algebra I</u>

  • Exponential Rule [Multiplying]: \displaystyle b^m \cdot b^n = b^{m + n}
  • Exponential Rule [Dividing]: \displaystyle \frac{b^m}{b^n} = b^{m - n}

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{3^3 \cdot 3^3}{3^4}<u />

<u />

<u>Step 2: Simplify</u>

  1. [ER] Multiply:                    \displaystyle \frac{3^{3+3}}{3^4}
  2. Add Exponents:               \displaystyle \frac{3^6}{3^4}
  3. [ER] Divide:                      \displaystyle 3^{6 - 4}
  4. Subtract Exponents:       \displaystyle 3^2
4 0
3 years ago
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