The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ = 
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ = 
∴ PQ = 19.66
The length of PQ is 19.66 units
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Answer:
12
Step-by-step explanation:
This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.
Answer:
perimeter is 12x-6
Step-by-step explanation:
perimeter is the sum of all sides
3(x+2) + 2x+11 + 7x-23
distribute the 3 in the first term, then combine 'like terms'
3x+6 + 2x+11 + 7x-23
3x+2x+7x + 6+11+(-23)
12x-6
Answer:3/8
Step-by-step explanation:
The simplest form of
15
/40 is 3
/8
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 15 and 40 is 5
Divide both the numerator and denominator by the GCD
15 ÷ 5
40 ÷ 5
Reduced fraction:
3
/8
Therefore, 15/40 simplified to lowest terms is 3/8.
