Answer:
The third angle of isosceles triangle is 106° .
Step-by-step explanation:
Given as :
The measures of equal angles of isosceles triangle = 37°
i.e 
= 
= 37°
Let The third angle of isosceles triangle = 
Now,
An isosceles triangle is that whose opposite sides are equal and two angles are equal
<u>Now, From the property of Triangle</u>
The sum of all three angles of Triangle = 180°
i.e + + = 180°
∵ = = 37° (given)
So, 37° + 37° + = 180°
Or, 74° + = 180°
Or, = 180° - 74°
∴ = 106°
So, The third angle of isosceles triangle = = 106°
Hence,The third angle of isosceles triangle is 106° . Answer
-8 (is less than or equal to) x ( which is less than) 3
Or [-8,3)
Your work looks good, the ages will be
9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
Answer:
x - 1 < n < 3x + 5
Step-by-step explanation:
If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.
