4k-36 = 9k-44
add 36 to both sides:
4k =9k-8
subtract 9k from each side
-5k=-8
k = -8 / -5 = 8/5
Answer:
C.
Step-by-step explanation:
divide 100 and dive 15 by 5
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
-3
Step-by-step explanation:
2^2 = 4
4 + (-3) = 1
4*2 = 8
8 * -1 = -8
-8 / 2 = -4
1 + -4 = -3
