For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4
1 answer:
Given:
Given the inequalities:4
Required: Identify the inequality in which x = 8 is a solution.
Explanation:
Substitute 8 for x in each inequality and check whether it satisfies the inequality.
Consider 4x + 3 > 0.
So, x = 8 satisfies the inequality 4x + 3 > 0.
Consider 9x - 5 < 100.
So, x = 8 satisfies the inequality 9x - 5 < 100.
Consider x + 4 ≤ 10.
So, x = 8 not satisfies the inequality.
Consider 72 ÷ x ≥ 4.
So, x = 8 satisfies the inequality.
Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.
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Answer:
<h3>Therefore the angles of the triangle are 52.5°, 105°,49.5°.</h3>Step-by-step explanation:
Triangle:
- The sum of the angle of triangle = 180°
- Heron's formula the area of triangle =
s= semi-perimeter
Given that , first angle is twice the second angle, and the second angle is 30° larger than the third angle.
Consider the second angle of the triangle be x.
Then first angle = twice the second angle
=2× second angle
=2x
The third angle+30° = second angle
⇒third angle= second angle -30°
= x- 30°
We know that,
First angle + second angle+ Third angle = 180°
⇒2x+x+x-30°= 180°
⇒4x = 180° +30°
⇒4x=210°
⇒x=52.5°
Therefore the angles of the triangle are 52.5°, (2×52.5°),(52.5°-30°)
=52.5°, 105°,49.5°