For more than three times a number is greater than 22
1 answer:
Answer:
Four more than three times a number is greater than twenty-two.What is the number?
The number is greater than 6.
Step-by-step explanation:
Given:
Four more than three times a number is twenty-two.
Let the number be 'x'.
Three times of 'x' = '3x'
Four more means further four is added.
So,
The number is
According to the question.
⇒
⇒ ...Subtracting 4 on both sides
⇒
⇒ ...Dividing 6 on both sides
Now if it says that it is greater than 22 then we will use sign.
So the number is greater than 6 'x' > 6.
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In the case above, the length of Angle DA is 6 and angle ABD ≈ Angle CAD.
<h3>What is the angle about?</h3>Note that:
Δ ABC , A = 90
To find length of DA :
Let Δ ACB = x
So Δ ABC = 90 -x
For Δ ABC and ADC:
Δ ADB = Δ ADC (90°)
Δ ABD = Δ DAC (90 - x)
For Δ ABC ≈ ADC:
AD² = BD. CD.
AD²= 9 . 4
AD²= 36
AD = 6
Therefore, In the case above, the length of Angle DA is 6 and angle ABD ≈ Angle CAD.
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