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3 years ago

The answer to the problems and how to solve it.

Mathematics

1 answer:

swat323 years ago

3 0

Let x and y represent angles 1 and 2, respectively. The given relations tell you

... x + y = 180 . . . . the sum of measures of a linear pair is 180°

... y = 2x + 6 . . . . angle 2 is 6 more than twice angle 1

One way to solve these is to add twice the first equation to the second.

... 2(x + y) + (y) = 2(180) + (2x +6)

Now, subtract 2x

... 3y = 366

... y = 122 . . . . divide by the coefficient of y

The measure of angle 2 is 122°.

You might be interested in

I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.

Aleksandr-060686 [28]

Answer: either 5, 5, 14

First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or

-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

8 0

3 years ago

Given that V=4/3πrcube , make r the subject of formula

Sonbull [250]

Answer:

$V = \frac{4}{3} \pi {r}^{3} \\ \\ 3V = 4\pi {r}^{3} \\ {r}^{3} = \frac{3V}{4\pi} \\ \\ r = \sqrt[3]{ \frac{3V}{4\pi} }$

6 0

3 years ago

What’s 5e+|-12+f|+g e=-3 f=4 g=-1

AleksAgata [21]

Answer:

-8

Step-by-step explanation:

5 times -3 is -15

absolute value of -12 plus 4 is 8

-15 plus 8 plus -1 is -8

8 0

3 years ago

Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint.

mestny [16]

Answer:

(11, 12)

Step-by-step explanation:

Mid point coordinates:

x = (x₁ + x₂)/2
y = (y₁ + y₂)/2

Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:

x₂ = 2x - x₁ = 2*10 - 9 = 11
y₂ = 2y - y₁ = 2*4 - (-4) = 12

So the other endpoint is: (11, 12)

4 0

3 years ago

25) Margie needs to borrow $9,000 from a local bank. The

azamat

Answer:

B) $3060.00

Step-by-step explanation:

8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.

I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.

I'm not sure if this is correct

7 0

3 years ago