Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
Answer:
4+62=66
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
Since the y- coordinates of the ordered pairs are all 2
This indicates the line is horizontal with equation y = c
where c is the value of the y- coordinates the line passes through, then
y = 2 ← equation of line
Answer:
The value of the missing angle, x° is 115°
Step-by-step explanation:
The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon
The number of sides in the given polygon, n = 10 sides
Therefore;
The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°
The given angles of the polygon are;
107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°
Therefore, we have;
107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°
x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°
The value of the missing angle, x° = 115°.
