Answer:
The surface area is 294 ft^2 (please give branliest)
Step-by-step explanation:
area of one side 49
multiply by 6 sides
Answer: B
Step-by-step explanation:
4(x+3)+2x=6(x+2)
4x+12+2x=6x+12
6x+12=6x+12
12=12
All real solutions
5+2(3+2x)=x+3(x+1)
5+6+4x=x+3x+3
11+4x=4x+3
11=3
No solution
Answer:
Step-by-step explanation:
For problem 10:
1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)
2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)
3. 9/x=(9+6)/10 (Substitute the given values into this equation)
4. x=6 (Use algebra to solve for x)
For problem 11:
1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)
2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)
3. 14/(14+7)=18/(18+x) (Substitute given values)
4. x=9 (Solve for x)
lmk if there are mistakes in my explanation, hope this helps :)
Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
_____
Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
L=Length W=Width P=Perimeter
L=3w-4
P=2w+22
P=2L+2w=2w+22 Answer: W=5
2L=22 L=11
L=11
11=3w-4
3w=15
W=5
