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Fofino [41]
3 years ago
7

The measure of <1 = 20x + 21 and the measure of <2 = 30x - 29.

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

Both equal 121 degrees

Step-by-step explanation:

Vertical angles are equal, and  and 2 are indeed vertical angles.  They are the "top" and "bottom" of the x formed.  So you can use this.

angle 1 = angle 2

20x + 21 = 30x - 29

50 = 10x

5 = x

So just plug this in.

20x + 21

20(5) + 21

121

30x - 29

30(5) - 29

121

So both are 121.

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Help with this question please
dem82 [27]

Answer:

gallons = dependent

minutes = independent

Step-by-step explanation:

independent variable = the variable being manipulated/changed

dependent variable = the variable being changed as a result

gallons = dependent (of the minutes of running water)

minutes = independent (affecting the gallons)

5 0
3 years ago
Read 2 more answers
How do I draw and determine the equation of a trend line on a scatterplot
Nat2105 [25]

Step-by-step explanation:

Step 1: Draw your trend line.

You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:

trend line equation

Step 2: Locate two points on the line.

Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.

For the trend line that we just drew, we can see these two easily identifiable points.

trend line equation

We can easily identify these two points as (3, 3) and (12, 6).

Step 3: Plug these two points into the formula for slope.

The formula for slope is this one:

trend line equation

We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:

trend line equation

So our slope is 1/3.

8 0
3 years ago
If ΔLMN ≅ ΔOPR, m∠L = (x^2 - x)°, m∠P = 16°, m∠N = (4x+160)°. Find m∠R.
Marizza181 [45]

Answer:

mZR = (4x + 160)°

Step-by-step explanation:

cause, mZR = mZN

;-))

8 0
3 years ago
$1500 at 9% for 2 years
kotykmax [81]

Answer:$270

Step-by-step explanation:

I=PRT

Interest=principal times rate times time

Principal=1500

Rate=9%=0.09

Time=2

I=1500 times 0.09 times 2

I=1500 times 0.18

I=270

Interest=270

Total is 1500+270=1770 total paid

8 0
3 years ago
What is a solution to (x + 6)(x + 2) = 60?
Reika [66]

Solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: (x+6)(x+2)=60

Solving:

(x+6)(x+2)=60

Multiplying terms on the left hand side

x(x+2)+6(x+2)=60

x^2+2x+6x+12=60

x^2+8x+12=60

x^2+8x+12-60=0

x^2+8x-48=0

Now factorizing:

x^2+12x-4x-48=0

x(x+12)-4(x+12)=0

(x-4)(x+12)=0

(x-4)=0\,\,and\,\,(x+12)=0

x=4\,\,and\,\,x=-12

So, solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

5 0
3 years ago
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