Answer:
The length of AC is;
C. 50
Step-by-step explanation:
By the midpoint of a triangle theorem, we have that a segment that spans across and intersects with the midpoints of two sides of a triangle is equal to half the length of the third side and parallel to the length of the third side
The given parameters are;
The midpoints of ΔACE are B, D, and F
The length of EC = 44
The length of DF = 25
Therefore, we have;
Given that DF is a midsegment of triangle ΔACE, then DF ║ AC and
the length of DF = (1/2) × AC the length of AC
∴ The length of AC = 2 × The length of DF
The length of DF = 25
∴ The length of AC = 2 × 25 = 50
The length of AC = 50
Answer:
x = 6
Step-by-step explanation:
9 / 6 = (2x - 6) / 4 (by the side splitter theorem)
6(2x - 6) = 36
12x - 36 = 36
12x= 72
x = 6
Child=x
Adult=y
y=3x
5.2x+9.9y=767.8
5.2x+9.9(3x)=767.8
5.2x+29.7x=767.8
34.9x=767.8
x=22
Answer:
B 12
Step-by-step explanation:
- manuel ate 1/3X
- His brother ate 1/4X
- leftover is 5
- total is X
manuel+brother+leftover=X
x/3+x/4+5=x
7x+60/12=x
7x+60=12x
60=12x-7x
60=5x
x=60/5
x= 12
Answer:
The total surface area = 582 ft²
Step-by-step explanation:
To find the surface area of it count the number of faces at first
The figure has 8 faces each 2 are equal
1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)
2- Two faces with dimensions 9 ft and 4 ft
3- Two faces with dimensions 4 ft and 6 ft
4- Two faces with dimensions 15 ft , 9 ft and 6 ft
Area of (1-) = 2(4 × 15) = 120 ft²
Area of (2-) = 2(4 × 9) = 72 ft²
Area of (3-) = 2(4 × 6) = 48 ft²
Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²
∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²
