Answer:
Table 2
Step-by-step explanation:
We have the tables:
<u>Table 1:</u>
x: 1 2 3 4
y: 2 4 6 8
<u>Table 2:</u>
x: 1 2 3 4
y: 2 4 8 16
<u>Table 3:</u>
x: 1 2 3 4
y: 2 4 7 11
<u>Table 4:</u>
x: 1 2 3 4
y: 2 4 6 10
An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.
<u>Table 1:</u>
8/6 = 4/3
6/4 = 3/2
Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.
<u>Table 2:</u>
16/8 = 2
8/4 = 2
4/2 = 2
The common ratio here is 2, so we know this is correct.
<u>Table 3:</u>
11/7 = 1.57
7/4 = 1.75
Again, we can see that 1/57 ≠ 1.75, so this is wrong.
<u>Table 4:</u>
10/6 = 1.67
6/4 = 1.5
Again, there is no common ratio here, so this is wrong.
The answer is thus Table 2.
Answer:
The triangles are congruent by Angle Side Angle congruency statement and the reason is below.
Step-by-step explanation:
Given:
∠ VUW ≅ ∠ XYW
VW ≅ YW
To Prove:
Δ VUW ≅ Δ XYW
Proof:
In Δ VUW and Δ XYW
∠ VUW ≅ ∠ XYW ……….{Given}
VW ≅ YW ............{Given}
∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}
Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}
......Proved
Answer:
40 and 10
Step-by-step explanation:
if you add them you get 50 and if you subtract them you get 30
Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.