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PSYCHO15rus [73]
3 years ago
14

The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of th

e parallelogram.​
Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.

The ratio is 7:5 so we would have:

7x + 5x = 180

Simplify:

12x = 180

Divide both sides by 12:

X = 15

So one angle is 7 x 15 = 105 degrees

The other angle is 5 x 15 = 75 degrees

An obtuse angle is an angle greater than 90 degrees.

The obtuse angle would be 105 degrees.

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frosja888 [35]

Answer:

2/3

Step-by-step explanation:

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3 0
3 years ago
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a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price
prohojiy [21]

The original price is $450.

<u>Step-by-step explanation:</u>

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D = OP \times30/100

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = $450

5 0
3 years ago
6. Based on data from the U.S. Department of Agriculture, the average number of acres per farm x years after 2000 can be approxi
statuscvo [17]

Answer: 170.37 acres

Step-by-step explanation:

In 2005, x= 2005

Substituting x=2005 in the equation.

A(2005) = (2078x-94458)/(13x-2164)

A(2005) = 4071932/23901

A(2005) = 170.37 acres

7 0
3 years ago
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Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 <br>y=
zmey [24]

Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

(-8 {x1}, -5 {y1}, -1/4 [m] )

We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

Minus x minus = plus

minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

-1/4 x X = -1/4x

-1/4 x 8 = -2

The mathematical setting then becomes,

y+5 = -1/4x + -2 (<em>Note: plus + minus = minus</em>)

so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

 y+5 = -1/4x - 2

   +5            +5

+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (<em>-2+5 goes around to become 5-2= 3</em>)

The expression now looks like this

<u>y= -1/4x +3 which is the final answer!</u>

<u />y= -1/4x + 3

5 0
2 years ago
The scale from a playground to a scale drawing of the playground is 4 meters per centimeter.The length of the drawing of the pla
Scilla [17]

Answer:

322.24 meters

Step-by-step explanation:

The scale is 4 meter per centimeter. Multiply 5.3 by 4 to get 21.2 meters. Multiply 5.3 by 4 to get 15.2 meters. Multiply 21.2 by 15.2 to get 322.24

6 0
3 years ago
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