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Gnesinka [82]
3 years ago
9

The length of the base and the height of a triangle are numerically equal. Their sum is 6 less than the number of units in the a

rea of the triangle. Find the area of the triangle.
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
Base = Height, Let them be x.

( x \times x) \div 2 = (x + x) + 6 \\ x ^{2} \div 2 = 2x + 6 \\ \frac{1}{2} x^{2} - 2x - 6 = 0
Solve quadratic equation:
x=6, x=-2(rejected because base and height is positive)

6x6/2 =18
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Please help!!!<br><br> i've tried to search to understand but they all look so similar
kirza4 [7]

Answer:

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.

Rotation, Reflection, and translation do not affect the size of the original figure.

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

5 0
3 years ago
A construction company transported 8 stones that weighed a total of 70.22 kilograms. How much did each stone weigh?
pishuonlain [190]

Answer:

8.7kilos

Step-by-step explanation:

70.22 divided by 8

hope this helps!

5 0
2 years ago
Y= 1/2x-4 and y= -2x-9 what is the solution of equations
azamat

Answer:

(x,y)=(-2,-5)

Step-by-step explanation:

y=1/2x-4

y=-2x-9

(y=) 1/2x-4=-2x-9

1/2x +2x=-9+4

1/2x +4/2x=-5

5/2x=-5

5x=-5*2

5x=-10

x=-2

x=-2

y=-2x-9=-2*(-2)-9=4-9=-5

(x,y)=(-2,-5)

8 0
3 years ago
What is the value of b?
tresset_1 [31]

Answer:

17

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

   = 25² + 28² - (2 × 25 × 28 × cos36.9°)

   = 625 + 784 - 1400 cos36.9°

   = 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = \sqrt{1409-1400cos36.9} ≈ 17 ( nearest whole number )

   

8 0
4 years ago
Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
Brilliant_brown [7]

Answer:

first one

Step-by-step explanation:

6 0
3 years ago
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