Answer:
A: 15
Step-by-step explanation:
The angles are opposite to each other.
Vertically opposite angles are equal in size.
Put up an equation and solve for a.
6a + 10 = 3a + 55
Subtract 3a and 10 on both sides.
6a - 3a = 55 - 10
Combining like terms.
3a = 45
Divide both sides by 3.
a = 45/3
a = 15
The value of a is 15.
Answer:
You should probably be more specific as different schools have different curriculum's!
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
Solving the given expression step by step:
72 = 2 × 2 × 2 × 3 × 3
Now for finding the square root we will make pair of two numbers of same values.
We have one pair of 2's and one pair of 3's and left one 2
Thus, √72 = 2 × 3 × √2 = 6√2
We rationalize denominator and change it into a simpler form as soon as possible.
Answer:
a) 11
c) 18
d) -25
Step-by-step explanation:
a)
Substitute: 3|-2| + 5|-1|
Absolute value is positive: 3(2)+5(1)
Simplify: 6+5
Simplify: 11
c)
Substitute: 4|-2| +8-(-2)
Absolute value is positive: 4(2)+8-(-2)
Simplify: 8+8+2
Simplify: 18
d)
Substitute: -3|-5|+2(-5)
Absolute value is positive: -3(5)+2(-5)
Simplify: -15-10
Simplify: -25
Answer:
1. P = 14cm; A = 10cm^2
2. P = 24cm; A = 12cm^2
3. P = 32cm; A = 63cm^2
4. P = 36cm; A = 80cm^2
5. P = 32cm; A = 60cm^2
6. P = 36cm; A = 81cm^2
7. P = 26cm: A = 30cm^2
8. P = 28cm; A = 49cm^2
9. P = 26cm: A = 42cm^2
Step-by-step explanation:
Formula to find perimeter for a rectangle:
length + width + length + width
l + w + l + w
Formula to find area for a rectangle:
length × width
l × w
1.
Perimeter (P): 5 + 2 + 5 + 2 = 14
Area (A): 5 × 2 = 10
2.
P: 6 + 2 + 6 + 2 = 24
A: 6 × 2 = 12
3.
P: 7 + 9 + 7 + 9 = 32
A: 7 × 9 = 63
4.
P: 10 + 8 + 10 + 8 = 36
A: 10 × 8 = 80
5.
P: 10 + 6 + 10 + 6 = 32
A: 10 × 6 = 60
6.
P: 9 + 9 + 9 + 9 = 36
A: 9 × 9 = 81
7.
P: 10 + 3 + 10 + 3 = 26
A: 10 × 3 = 30
8.
P: 7 + 7 + 7 + 7 = 28
A: 7 × 7 = 49
9.
P: 6 + 7 + 6 + 7 = 26
A: 6 × 7 = 42
Area will always have its units squared (cm^2) because the formula requires we multiply the numbers and therefore the units: cm × cm = cm^2
