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3 years ago

Use the figure below to complete the following problem. 2 + 3 = 90 120 180

Mathematics

2 answers:

sineoko [7]3 years ago

5 0

This equals 180.
1 and 3 are corresponding angles which means they are the same. 1+2=180 therefore 2+3= 180

Wewaii [24]3 years ago

3 0

From the figure we can observe that:

VS and UT lines are parallel to each other.

line ST is the transversal intersecting lines VS and UT making angles 2 and 3.

Here angles 2 and 3 are interior angles on same side of transversal.

If two lines are parallel and a transversal passes through them, then the pair of interior angles on the same side of transversal are supplementary that is they add up to make 180 degrees.

Applying this property to angles 2 and 3.

∠2 +3 =180°

Answer : 2 + 3 =180, last option is correct.

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HELP ASAP!! PLEASE EXPLAIN! THIS IS Creating Equations and Inequalities of One-Variable

Evgen [1.6K]

Answer:

The steps to doing this are as follows:

1. Identify the unknown and represent it with a variable.

2. Set up an equation or inequality using that variable.

3. Solve the equation or inequality to find an answer to the problem.

6 0

3 years ago

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PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

3 years ago

Mark pulled weeds from the garden for 10 more minutes than Ted.

Gwar [14]

B because 10p means 10 × p

5 0

3 years ago

Read 2 more answers

Given f(x) = (lnx)^3 find the line tangent to f at x = 3

kirill [66]

Explanation

We must the tangent line at x = 3 of the function:

$f(x)=(\ln x)^3.$

The tangent line is given by:

$y=m*(x-h)+k.$

Where:

• m is the slope of the tangent line of f(x) at x = h,

• k = f(h) is the value of the function at x = h.

In this case, we have h = 3.

1) First, we compute the derivative of f(x):

$f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.$

2) By evaluating the result of f'(x) at x = h = 3, we get:

$m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.$

3) The value of k is:

$k=f(3)=(\ln3)^3$

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

$y=(\ln3)^2*(x-3)+(\ln3)^3.$

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

$y=(\ln3)^2*(x-3)+(\ln3)^3$

6 0

1 year ago

Solve the system of equations Algebraically.

grandymaker [24]

Since y=x+3 (given)
Put value of y in equation x+y=(-3)
x+x+3=(-3)
2x=(-6)
x=(-3)
Put x=(-3) in x+y=(-3)
(-3)+y=(-3)
y=0
So, x=(-3)
y=0

4 0

3 years ago