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3 years ago

Consider the figures shown below. Find the values of ∠1 and ∠2 for the given figures and complete the table accordingly.

Mathematics

1 answer:

iragen [17]3 years ago

5 0

Answer:

Figure 1: 98, 82

Figure 2: 64

Figure 3: 157, 23

Step-by-step explanation:

Figure 1: complementary angles theorem, coordinating angles theorem

Figure 2: vertical angles theorem

Figure 3: alternate interior angles theorem, complementary angles theorem

Let me know if this helped!

**please mark brainliest!!!

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If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago

Help me with this math homework

sp2606 [1]

Answer:

1.) 2 over 5

2.)7.5 over 50

3.)1 1/2

5.)0.95%

6.)2.5%

7.)0.94

i cant read 9 and ten

11.)61 over 100

12.)7 over 25

13.)207 over 1000

15.)14 over 25

16.)13 over 50

17.)3 over 500

19.)5 over 8

20.)42 over 125

21.)3 over 250

I tried my best!! hope this helps you out

5 0

4 years ago

A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Leya [2.2K]

Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).

First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."

5x+4y=2

-5x -5x (subtract 5x from both sides to move it to the right side of your equation)

4y = 2 - 5x

/4 /4 /4 (divide all the terms by 4 to get "y" by itself)

y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.

Now, we know that our slope, m , is going to be -(5/4).

Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:

y = 5

m = -(5/4)

x = 7

y=mx+b

5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.

5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4

20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)

+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b

55/4 = b ... or b = 13.74

Answer:

m = -(5/4)

b = 13.75

7 0

3 years ago

Express it in slope-intercept form

raketka [301]

$y = \frac{1}{2} x - 3$

8 0

3 years ago

Read 2 more answers

tigry1 [53]

4) What is the question

6 0

3 years ago