Answer:
The answer is C
Step-by-step explanation:
The solution to the inequality is (7/6, ∝) and (-∝, 7/6)
<h3>How to solve the inequality?</h3>
The inequality expression is given as:
2−5|6x−4|<−13
Subtract 2 from both sides
|6x−4|<−15
Divide through by -5
|6x−4| > 3
Remove the inequality sign
6x - 4 > 3 or 6x - 4 < 3
Add 4 to both sides
6x > 7 or 6x < 7
Divide by 6
x > 7/6 or x < 7/6
In interval notation, we have:
(7/6, ∝) and (-∝, 7/6)
Read more about inequality at:
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Answer:
1) angle bisector
2) w = 72°
3) t = 44°
4) t = 51°
5) FG = 16 units
Step-by-step explanation:
1) Given that, ∠VYW ≅ ∠WYV
The line which cuts any angle into equal halves is angular bisector of the angle
⇒ YW is angle bisector
2) In a triangle, sum of two interior angle is equal to exterior angle of other side.
⇒ w-41° + w-31° = w.
⇒ w = 72°
3) Sum of interior angles in a pentagon is 540°
(For a n sided it is (n-2)180° )
⇒ 149° + 139° + t+32° + 3t +t = 540°
⇒ t = 44°
4) sum of all exterior angles taken one at each vertex = 360°
⇒ 2t-50° + 46° + 2t + 34° + 2t-50° + 34° + 40° = 360°
⇒ t = 51°
5) Here, by comparing ΔHGF and ΔHIF
∠GHF = ∠IHF
∠HGF = ∠HIF
and HF is common side for both triangles
⇒ ΔHGF ≡ ΔHIF ; i.e) ΔHGF , ΔHIF are congruent triangles
⇒ FG = FI = 16 units
46 because 8-3 equals 5 then 5 times 5 equals 25 to then add 11 to finally subtract 66-20 which equals 46
Answer:
<em><u>7</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>7</u></em><em><u>q</u></em>
Step-by-step explanation:
it is simply 1q+ 4q +2q= 7q
=7+ 7q
