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lys-0071 [83]
2 years ago
7

15 POINTS PLEASE HELP!!! WILL MARK BRAINLIEST

Mathematics
1 answer:
dangina [55]2 years ago
6 0

Given: ∠ DEF

To construct: ∠TSZ ≅ ∠DEF

Construction: Consider the attachment

Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST

Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.

Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.

Step-04: Now, join the point SQ and extend up to Z such that EF = SZ

Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF

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Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much
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The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

3x+2y=12.5

Solve this equation as,

2y=12.5-3x\\y=\dfrac{12.5-3x}{2}                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

2x+4y=13

Put the value of y in this equation and solve it further,

2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3

Put this value of x in equation 1,

y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75

The cost of an order of 1 hamburger and 2 orders of fries is,

C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

Learn more about the system of equations here;

brainly.com/question/13729904

#SPJ1

3 0
2 years ago
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