A. 8 is the answer
If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.
Answer:
2.4
Step-by-step explanation:
8.4/7=1.2
1.2x2=2.4
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Assuming the shape is a piece of a circle, you can determine the ratio of the shape to a full circle. A full circle will have 360 degree but this shape is only 40 degree. Then the ratio would be: 40/360= 1/9 full circle.
Then, using the circle area formula, the area of the 1/9 circle would be:
full circle area= pi * r^2
full circle area= 22/7 * 6^2
full circle area= 792/7
1/9 full circle area= 792/7*9= 88/7 = 12.57
Answer:
x= 14/9 = 1 5/9
Step-by-step explanation:
Use the distributive property to multiply 2 by 5x−3.
2(5x−3)−4=x+4
Subtract 4 from −6 to get −10.
10x−6−4=x+4
Subtract x from both sides
10x−10=x+4
Combine 10x and −x to get 9x.
10x−10−x=4
Add 10 to both sides.
9x−10=4
Divide both sides by 9.
x= 14/9
Please mark brainliest.
