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4 years ago

Plz help me with this

Mathematics

1 answer:

Delicious77 [7]4 years ago

6 0

Answer:

63°

Step-by-step explanation:

Hi there !

ABCD parallelogram => ∡A = ∡C

13x - 41 = 6x + 15

13x - 6x = 15 + 41

7x = 56

x = 56 : 7

x = 8

∡C = 6×8 + 15 = 48 + 15 = 63°

Good luck !

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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

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Jessica has at least 2 cookies more than Martha

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3 years ago

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saw5 [17]

Answer:

Step-by-step explanation:

1. Write out the equation

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2. Subtract 6 from each side

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3. Divide by 4 on each side

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3 years ago

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What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}

arlik [135]

Answer:

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Step-by-step explanation:

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