Answer:
4x + 10 > 3x + 14
x > 4
Step-by-step explanation:
Use the given values for length and width in the formula for perimeter of a rectangle. You will be able to find the perimeter of rectangles A and B.
A = 2(l + w)
A = 2(x + 5 + x)
A = 2(2x + 5)
A = 4x + 10
B = 2(l + w)
B = 2(x + 7 + x/2)
B = 2(3x/2 + 7)
B = 3x + 14
The perimeter of rectangle A is larger than that of rectangle B.
A > B
4x + 10 > 3x + 14
(4x + 10) - 3x > (3x + 14) - 3x
x + 10 > 14
(x + 10) - 10 > 14 - 10
x > 4
Answer:
arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
22 - 16 = 6
16 - 10 = 6
10 - 4 = 6
A common difference of 6 exists between consecutive terms.
Thus the sequence is arithmetic.
Answer:
Step-by-step explanation:
Each of the triangles is similar, so we have ...
3/5 = (3+x)/20
x = 20(3/5) -3
x = 9
__
4/5 = (4+y)/20
y = 20(4/5) -4
y = 12
__
3/5 = (3 + x + u)/60
u = 60(3/5) -3 -9
u = 24
__
4/5 = (4 +y +v)/60
v = 60(4/5) -4 -12
v = 32
Answer:
3/4 or 6/8
Step-by-step explanation:
6/8 when simplified is 3/4. That is the probability over the total.
Answer:
10 cm
Step-by-step explanation:
1 decimeter is equal to 10⁻¹ meters.
1 meter is equal to 10² centimeters. We can use a conversion fraction to find the centimeters corresponding to 10⁻¹ meters.
10⁻¹ m × (10²cm/1 m) = 10 cm
1 dm = 10⁻¹ m
10⁻¹ m = 10 cm
Due to the transitive property, 1 decimeter is equal to 10 centimeters.
