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Lyrx [107]
3 years ago
8

2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?

Mathematics
2 answers:
Yuliya22 [10]3 years ago
6 0

Value of x is 25°

Step-by-step explanation:

  • Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

⇒ x = 25°

azamat3 years ago
5 0

Step-by-step explanation:

Adjacent angles of a parallelogram are Supplementary.

\therefore \: (2x + 45 \degree) +  (4x  -  15 \degree) = 180 \degree \\  \\  \therefore \: 6x + 30 \degree = 180 \degree  \\  \\ \therefore \: 6x = 180 \degree - 30 \degree \\  \\ \therefore \: 6x = 150 \degree  \\  \\ \therefore \: x = \frac{150 \degree }{6} \\  \\  \huge \red{ \boxed{\therefore \: x = 25 \degree }}

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Answer:

L = 16 W=3

Step-by-step explanation:

Let width = x

Length = 4x +4

Area = 48

Area = L times w

48= (4x+4)(x)

48 = 4x^2 +4x

0 = 4x^2 +4x -48

0= 4(x^2 +x-12)

0 = (x+4)(x-3)

x = -4

x=3

Ignore the -4 because it's unrealistic to have negative length width or area

Hence, only solution is 3

Width = 3

Length = 4x + 4 = 4(3) + 4 = 12+4 = 16

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

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3 years ago
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earnstyle [38]
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Brilliant_brown [7]
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6 0
3 years ago
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Lady_Fox [76]

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

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10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

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Hope this helps!

6 0
3 years ago
CAN YOU PLEASE HELP ASAP!?
MAVERICK [17]

Apples went up 0.75 a lb

p is the start price so new price is p + 0.75

we buy 3 lbs

3 ( p+ 0.75) = 5.88

now solve

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3p =  3.63

/3         /3  

p = 1.21 a lb


4 0
3 years ago
Read 2 more answers
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