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3 years ago

What are the values of x and y in the parallelogram?

Mathematics

1 answer:

postnew [5]3 years ago

6 0

9514 1404 393

Answer:

x = 60

y = 30

Step-by-step explanation:

Adjacent angles are supplementary.

(5x -180) +x = 180

6x = 360 . . . . . . . . . . add 180, collect terms

x = 60 . . . . . . . . divide by 6

Opposite angles are congruent.

2y = 60 . . . . . . 2y = x

y = 30 . . . . . . . .divide by 2

The value of x is 60; the value of y is 30.

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On a number line, graph all the temperature that are warmer than -2 degrees Celsius

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The inequality would be x>2

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2 years ago

Juan is buying soda for a class party. he can go to the vending machine and buy 12-oz cans for $0.60 each, to the corner store a

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Answer:

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Step-by-step explanation:

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3 years ago

How does one solve this?

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3 years ago

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Yuri [45]

Answers

1) 4

2) 0, 2, -10

3) 0, 5, -2

Step-by-step explanation:

1) x³ - 64 = 0

x³ = 64

x = 4

2) x³(x² + 8x - 20) = 0

x³(x² + 10x - 2x - 20) = 0

x³(x(x + 10) - 2(x + 10)) = 0

x³(x + 10)(x - 2) = 0

x = 0, 2, -10

3) x³ - 3x² - 10x = 0

x(x² - 3x - 10) = 0

x(x² - 5x + 2x - 10) = 0

x(x(x - 5) + 2(x - 5)) = 0

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4 0

3 years ago

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

6 0

3 years ago