Verena lives in a city where the ratio of sunny days to rainy days is 4 to 3.

Identify each pair of angles as corresponding, Alternate interior, alternate exterior, or consecutive interior and solve for X

-BARSIC- [3]

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

Therefore, 21x + 6 = 90

2x = 90 - 6

2x = 84

x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

8x - 4 = 60

8x = 60 + 4

x = $\frac{64}{8}$

x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

Therefore, (-1 + 14x) = (12x + 17)

14x - 12x = 17 + 1

2x = 18

x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -6

Now measure of (x + 96)° = -6 + 96

= 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

Therefore, (20x + 5)° + (24x - 1)° = 180°

44x + 4 = 180

44x = 176

x = 4

4 0

3 years ago

Lil help and hand here

antoniya [11.8K]

Well all you need to do to write the linear equation for this function. I assume you want to know, is that you must obtain 2 points, and calculate the slope, then place the info within the following form.

Y = mx + b
1 of the points has to be the y intercept, which can be obtained from the graph, and the other, any other point, which can also be the X intercept.

So, X intercept - (2,0)
Y intercept - (0,3).

Slope = y/X = 3-0/0-2
Slope = 3/-2 or -3/2.

Now put everything together in form:

Y = mx + b

Y = -3/2x + 3.

I believe this is the solution.

8 0

3 years ago

Read 2 more answers

9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc

irakobra [83]

<h3>Answer:</h3>

B) 22.32 feet

$\quad\rule{300pt}{1pt}$

<h3>Solution:</h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

$\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull$