Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0
2 answers:
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Answer:
Given statement: Ivan and Tanya share £150 in the ratio 4:1
let the number be x.
Then, the share of Ivan be 4x and the share of Tanya be x.
From the given scenario,
the equation that would best represent the given will be;
Combine like terms;
Divide both sides by 5 we get;
Simplify:
x =£30
Then,
the share of Ivan is, 4x =
and the share of Tanya is, x =£30
Therefore, £90 more Ivan gets compared to Tanya.
Solution:
Consider the Given Isosceles Triangle
Considering the Possibilities
Case 1. When two equal angles are of 70°
Let the third angle be x.
Keeping in mind , that sum of Interior angles of Triangle is 180°.
70° + 70° + x= 180°
140° +x= 180°
x= 180°- 140°
x= 40°
Case 2:
When an angle measures 70°, and two equal angles measure x°.
Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.
70° + x° + x° = 180°
⇒ 70° + 2 x° = 180°
⇒ 2 x° = 180° - 70°
⇒ 2 x° = 110°
Dividing both sides by 2, we get
x= 55°
