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Sergio [31]
3 years ago
9

(14x-13) (4x+13) (6x+2)

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

x = 7.416666667

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

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Write or draw to explain how you will find the total value of $1 bills and 3 quarters.
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"if you break down a $1 bill, it is 4 quarters. If you add the 4 quarters to the other 3 then you will get the sum of 7."

Hope this helps!
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Please, someone, help I need the answers asap!!
choli [55]

Answer:

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8 0
3 years ago
Sam the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. How fa
Liula [17]

Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(24^{\circ})=\frac{10}{x}

x=\frac{10}{\text{sin}(24^{\circ})}

x=\frac{10}{0.406736643076}

x=24.5859333557

x\approx 24.59

Therefore, the bird is approximately 24.59 feet away from Sam.

8 0
3 years ago
In quadrilateral ABCD, AD ∥ BC. Quadrilateral A B C D is shown. Sides A D and B C are parallel. The length of A D is 3 x + 7 and
oksian1 [2.3K]

Answer:

  31 units

Step-by-step explanation:

When the figure is a parallelogram, opposite sides have the same measure:

  AD = BC

  3x +7 = 5x -9 . . . . . . substitute given expressions

  16 = 2x . . . . . . . . . . . add 9-3x

  8 = x . . . . . . . . . . . . . divide by 2

Use this value of x in the expression for AD to find its required length:

  AD = 3(8) +7 = 24 +7

  AD = 31 . . . . units

The length of segment AD must be 31 units for ABCD to be a parallelogram.

8 0
3 years ago
Read 2 more answers
Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs? ​
anyanavicka [17]

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog  eats in x minutes :

\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min

Therefore, mario would eat 35 dogs in 10 min.

6 0
3 years ago
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