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2 years ago

I need to find X and Y to make this shape a parallelogram. Can someone help me? (geometry student)

Mathematics

1 answer:

aliya0001 [1]2 years ago

8 0

Answer:

x=52

Step-by-step explanation:

One of the properties of parallelograms is that angle A = Angle C

5y-54 = 3x eq1

Another property of parallelograms is that angle A + angle B = 180 degrees

5y-54+2y-60 = 180

7y = 180+114 = 294

y = 42

Putting this value in eq1

3x = 5*42-54 = 210-54 = 156

x = 52

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2 years ago

Last week, Jane made deposits of $64,$25 and $37 into her checking account. She then wrote checks for $52 and $49. What is the o

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3 years ago

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Solve the given system of equations utilizing either the substitution or addition method.

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Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

$5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}$

Solving using substitution method:

Let:

$5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)$

Find value of x from eq(1) and put in eq(2)

$5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}$

Put value of x in eq(2)

$\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}$

Now, finding value of x by putting value of y in eq(1)

$x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4$

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3 years ago

Suppose x, y, and z are positive integers such that xy + yz = 29 and xz + yz = 81. Which of the following variables has exactly

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Answer:

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3 years ago

Ashley is packing her bags for her vacation. She has 7 unique socks, but only 3 fit in her bag.

IrinaVladis [17]

Answer:

There are 35 possible group of 3 socks from a total of 7

Step-by-step explanation:

Given

Number of unique socks = 7

Number of possible selection = 3

Required

Number of ways she can make her selection.

The question can be categorised as combination; reason being that words like "take" as used in the question points to combination or selection.

To solve this, we make use of combination formula.

nCr = nPr/r!

Where n = 7 and r = 3

By substitution, we have

7C3 = 7P3÷3!

Taking it one at a time

7P3 = 7!÷(7-3)!

7P3 = 7! ÷ 4!

7P3 = 7 * 6 * 5 * 4! ÷ 4!

7P3 = 7 * 6 * 5

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3! = 3 * 2 * 1

3! = 6.

So,

7C3 = 210 ÷ 6

7C3 = 35.

Hence, there are 35 possible group of 3 socks from a total of 7

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3 years ago