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Answer:
Opposite angles are congruent
Step-by-step explanation:
The parallelogram has parallel opposite sides and also the opposite sides are congruent. Few other properties of parallelogram are -
- It has two pairs of parallel opposite sides.
- Its diagonals bisect each other.
- It has two pairs of equal opposite angles.
- It has two pairs of equal and parallel opposite sides.
So, the answer is D.) opposite angles are congruent.
Step-by-step explanation:
It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.
The difference between final position and the initial position is equal to displacement. It is the shorted path covered.
Let forward is +x and backward is -x
Initial position of Katie = +2 ft
Final position of Katie = -5 ft
Displacement = final position - initial position
= -5 - 2
Displacement = -7 ft
So, her displacement is 7 feet in backward direction.
We have for example 2 numbers, a and b, and their product, number c.
So,
c = a * b
If value of a is increased by 30 percent, it means that the new value will be old value plus 30 percent of the value; so new value is:
a1 = a + 30% * a
If we elaborate this equation, we get:
a1 = a + 30/100 * a, i.e.:
a1 = 100/100 * a + 30/100 * a, i.e.:
a1 = (100+30)/100 * a, i.e.:
a1 = 130/100 * a .
Same for other number b:
It its value is increased by 20 percent, it means that the new value will be old value plus 20 percent of the value:
b1 will be the notation for the new value, and b is the old value
b1 = b + 20% * b
b1 = 120% * b
b1 = 120/100 * b
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When wanting to multiply a1 with b1, we get:
c1 = a1 * b1
c1 = 130/100 * a * 120/100 * b
When reducing fractions, we get:
c1 = 13/10 * a * 12/10 * b
When multiplying free numbers and move the order of a and b, we get:
c1 = (13*12)/(10*10)*a*b
c1 = 156/100 * a * b
-> a * b is c (c = a * b), so:
c1 = 156% * c
c1 = (100 + 56)% * c
Which means that the value of c is increased by 56%.
Answer:
12 inches in 1 foot
Step-by-step explanation:
In this problem, we need to find an example that is a scale.
There must be a relation between two units.
There are many types of units of lengths. These can be metre, cm, mm, foot, inches.
The relation between inch and foot is given by :
1 foot = 12 inch
So, we can say there are 12 inches in 1 foot.
<u>Hence, the correct option is (c).</u>