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3 years ago

Lines L and M are parallel.

Mathematics

1 answer:

guapka [62]3 years ago

3 0

Answer:

The answer is 38

Step-by-step explanation:

It is 38 degrees because it is adjacent to the angle that is 38 degrees and if the angles are adjacent then they are the same in degrees.

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Pamela bought an electric drill at 80% of the regular price. She paid 32 for the drill. What was the regular price?

nirvana33 [79]

Answer: $40

Step-by-step explanation:

To find the whole number you divide the part by the percentage

so here it was 32/0.8

hope it helps

3 0

3 years ago

Write the first five terms of the sequence defined by the explicit formula

denis-greek [22]

Answer:

The correct answer option is: 19, 13, 3, -11, -29.

Step-by-step explanation:

We are given the following explicit formula for an arithmetic sequence:

$a_n=21-2n^2$

So to find the first five terms of this sequence, we will substitute the values of $n$ (num here in the given formula:

$a_1=21-2(1)^2\\\\a_1=19$

$a_2=21-2(2)^2\\\\a_2=13$

$a_3=21-2(3)^2\\\\a_3=3$

$a_4=21-2(4)^2\\\\a_4=-11$

$a_5=21-2(5)^2\\\\a_5=-29$

Therefore, the first five terms of the sequence defined by the explicit formula $a_n=21-2n^2$ are 19, 13, 3, -11, -29.

5 0

3 years ago

Read 2 more answers

Consider the function, f(x)=2x-1

sukhopar [10]

Answer:

1, -1 , -3 ,3

Step-by-step explanation:

3 0

3 years ago

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What is the simplified form of 15 times x to the fifth power over 20 times y to the sixth power times the fraction 6 times y to

VARVARA [1.3K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$

Given:

Area of triangle = $\frac{1}{2} (6x^2 - 7x - 3)$

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

$6x^2 - 7x - 3$

To find the expression that models the other leg, divide $6x^2 - 7x - 3$ by 3x + 1:

Thus:

$\frac{6x^2 - 7x - 3}{3x - 1}$

Factorize the numerator

$\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}$

Simplify

$\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3$

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

Learn more here:

brainly.com/question/20712284

6 0

2 years ago