Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
Answer:
x = 5
Step-by-step explanation:
a) The third interior angle of this triangle is 180 - 20 x.
The three interior angles must sum up to 180 degrees.
Therefore, 60 + 7x + 5 + 180 - 20x = 180, or
65 + 180 - 13x = 180, or
65 - 13x = 0
Finally, 13x = 65, and so x = 5
Answer:
$130
Step-by-step explanation:
The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.
Hope this helps.
Answer:
Step-by-step explanation:
The answer is B
By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER
By the hinge theorem,TS > AC. FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.
By the converse of the hinge theorem, mS > mC.the statement that is true
By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.
Answer:
6%, 49%, 16%, 21%, 80%, 93%
Step-by-step explanation:
add the percent sign to each each number (6, 49, 16, 21, 80, and 93).
