Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6
Answer: We should add the constant 81 to the expression to have a perfect square trinomial.
The perfect square trinomial that would be formed would result from (x + 9)^2.
We can use foil to prove it.
(x + 9)(x + 9)
x^2 + 9x + 9x + 81
x^2 + 18x + 81
81 is the value that must go with 18x in the middle to form the perfect square trinomial.
Answer:
43,81
Step-by-step explanation:
sin ? = 9/13
sin ?= 43,81
Answer:
The measure of arc BC is 130° ⇒ 1st answer
Step-by-step explanation:
In a circle:
- The measure of an arc is equal to the measure of the central angle subtended by it
- The measure of an arc is equal to double the measure of the inscribed angle subtended by it
- Central angles subtended by the same arc are equal in measures
- Inscribed angles subtended by the same arc are equal in measures
- The measure of central angle is double the measure of the inscribed angle which subtended by its arc
∵ Angle BDC is an inscribed angle
∵ It is subtended by the arc BC
- By using the 2nd fact above
∴ The measure of arc BC = 2 × the measure of ∠BDC
∵ The measure of angle BDC is 65 degree
∴ The measure of arc BC = 2 × 65°
∴ The measure of arc BC = 130°
The measure of arc BC is 130°
