Answer:
KL = 28
YZ = 76
LZ = 38
Step-by-step explanation:
Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.
Think of it like this: ZLK is just ZXY scaled to half.
From that we get:
KL = YX/2 = 56/2 = 28
YZ = 2*KJ = 2*38 = 76
LZ = YZ/2 = 76/2 = 38
Answer:
102cm²
Step-by-step explanation:
Surface Area = BH +Lp
B is the base area
H is the height of the Prism
L is the slant height
p is t perimeter of its base
B =1/2 ×3×4
B= 6cm²
H = 7cm
L = 5cm
P = 3cm+4cm+5cm
P = 12cm
Substitute
TSA = 6(7)+5(12)
TSA = 42+60
TSA = 102cm²
Hence the total surface area of the shape is 102cm²
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer:
x=3
Step-by-step explanation:
using the pythagorean theorem, c^2=a^2+b^2
5^2=x^2+4^2, x=3
