How do you find x? Please help
1 answer:
ANSWER:
x = 5
The value of ( x ) is equivalent to 5.
STEP-BY-STEP EXPLANATION:
Testing triangle AHD is congruent to triangle CHD -
Angle ADH = Angle CDH ( given )
Side AH = Side CH ( given )
Angle AHD = Angle BHC = 90° ( equal vertically opposite angles )
Angle CHD = 180° - Angle AHD = 180° - 90° = 90° ( supplementary angles on a straight line )
Angle AHD = Angle CHD = 90°
Angle DAH = Angle DCH ( angle sum of a triangle )
Therefore, triangle AHD is congruent to triangle CHD.
As triangle AHD is congruent to triangle CHD, we can do the following:
AD = 2x - 3
CD = x + 2
AD = CD
THEREFORE:
2x - 3 = x + 2
2x - x = 2 + 3
x = 5
x = 5
The value of ( x ) is equivalent to 5.
STEP-BY-STEP EXPLANATION:
Testing triangle AHD is congruent to triangle CHD -
Angle ADH = Angle CDH ( given )
Side AH = Side CH ( given )
Angle AHD = Angle BHC = 90° ( equal vertically opposite angles )
Angle CHD = 180° - Angle AHD = 180° - 90° = 90° ( supplementary angles on a straight line )
Angle AHD = Angle CHD = 90°
Angle DAH = Angle DCH ( angle sum of a triangle )
Therefore, triangle AHD is congruent to triangle CHD.
As triangle AHD is congruent to triangle CHD, we can do the following:
AD = 2x - 3
CD = x + 2
AD = CD
THEREFORE:
2x - 3 = x + 2
2x - x = 2 + 3
x = 5
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Answer:
25
Step-by-step explanation:
Let n be the first integer.
Then the second integer will be (n + 1).
And the third will be (n + 2).
The sum is 78. Therefore:
Solve for n. Combine like terms:
So:
Therefore:
Therefore, the first integer is 25.
So our sequene is 25, 26, and 27.
The integer closest to zero will thus be 25.