Answer: She is correct because each ratio is equivalent to 5:1, except for the last one, which is 1:5
5/1 = 5:1
10/2 = 5:1
25/5 = 5:1
10/50 = 1:5
If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,
6x-5=3x+10
Solving the equation:
3x=15
x=5
So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!
Answer: CB=14
The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.
To find the equation of the line you first find the slope or m using any two points.
m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so
m=(3--5)/(-2-2)
m=8/-4
m=-2
So far for y≤mx+b we have:
y=-2x+b using either point we can solve for b, I'll use (2,-5)
-5=-2(2)+b
-5=-4+b
-1=b
So the line is:
y=-2x-1 and since y≤ the line:
y≤-2x-1
1) A = π r² = 22/7 x 10² = 314.28 in²
2)A = π r² = 22/7 x 9² = 254.57 mm²
3) radius = 1/2 diameter
r = 1/2 x 3 = 1.5 in
A = π r² = 22/7 x 1.5² = 7.07 in²
4)A = π r² = 22/7 x 14² =616 cm²
5) radius = 1/2 diameter
r = 1/2 x 1.5 = 0.75 ft
A = π r² = 22/7 x 0.75² = 1.76 ft²
Answer:
5/3 < x < 10
Step-by-step explanation:
