All categories

2 years ago

Hi. I was confused on how to solve for x in this problem

Mathematics

1 answer:

Nostrana [21]2 years ago

7 0

It is 70° because the other triangle has the same angle and it is labeled 70° in the other triangle.

Answer: 70°

You might be interested in

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal. T

Sauron [17]

Answer:

Therefore Neither option A nor option B will allow them to meet their goal....

Step-by-step explanation:

The Polleys need to save $6,000 over 12 months.

After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.

According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.

According to the Option B Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.

Therefore Neither option A nor option B will allow them to meet their goal....

6 0

3 years ago

Read 2 more answers

What is the slope of the line that contains the points (-1, 2) and (4, 3)?

Vika [28.1K]

Answer:

Slope: 1/5

Step-by-step explanation:

-1,2

4,3

-1 - 2 = -1

-1 - 4 = -5

-1/-5 = 1/5

6 0

2 years ago

The sum of three consecutive even numbers is 552. What is the 1st number?

wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0

2 years ago

Read 2 more answers

-1 (x-4) in distibutive property

valina [46]

Answer:

-x+4

Step-by-step explanation:

-1(x-4) any expression multipled by 1 remains the same

-(x-4) remove the parenthesis

-x-4

8 0

3 years ago

Read 2 more answers

Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Rufina [12.5K]

Answer:

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

$x(t)+y(t)=k,\text{ where $k$ is some constant}$

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

$\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]$

Remember that the derivative of a constant is always 0. Therefore:

$\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0$

And by subtracting dy/dt from both sides, we acquire:

$\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}$

Hence, our answer is B.

3 0

2 years ago

Read 2 more answers