Answer:
The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.
Step-by-step explanation:
The given expression is
We factor the left hand side to get:
We divide both sides by: a-b
Observe that the difference of a and b is in the denominator.
The whole is of the form:
The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.
Answer:
Step-by-step explanation:
I don't exactly know what you are asking, but sum equal fractions can be 10/12 and 50/60. As long as you multiply the numerator and the denominator by the same value, you get an equal fraction.
Answer:
Arc BC is 64°
Step-by-step explanation:
The parameters given are;
∠CAB = 32°
We note that the measure of arc BC = ∠CDB
∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)
∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)
∠ACB = ∠DCB + ∠DCA
∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°
∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)
∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)
∠CDB = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°
∠CDB = Arc BC = 64°
Answer:
x = 1
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x.
x = 1
Hope this helped
Answer:
B. The square's side length is between 5 and 6.
Step-by-step explanation:
We are given a square with vertices
A(0,0), B(5,2), C(3,7), and D (-2,5)
We solve using the Formula
√(x2 - x1)² + (y2 - y1)²
Where we have (x1, y1) and (x2, y2)
For AB
A(0,0), B(5,2)
= √(5 -0)² + (2 - 0)²
= √5² + 2²
= √25 + 4
= √29
= 5.3851648071
For BC
B(5,2), C(3,7),
= √(3 - 5)² + (7 - 2)²
= √-2² + 5²
= √4 + 25
= √29
= 5.3851648071
For A D
A(0,0),D (-2,5)
√(-2- 0)² + (5 - 0)²
= √-2² + 5²
= √4 + 25
= √29
= √5.3851648071
For CD
C(3,7), D (-2,5)
√(-2 - 3)² + (5 - 7)²
= √-5² + -2²
= √25 + 4
= √29
= 5.3851648071
The lengths of the sides of the square is equal to each other.
Therefore, the statement that is true about this square is option
B. The square's side length is between 5 and 6.