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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You can learn more about triangle in brainly.com/question/12985572
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The angles ACD and Angle ABE are congruent so there measure is equal.
3x+14=50
3x= 50-14
3x= 36
X= 36/3=12
A two-digit number is twice the sum of its digit. If the tens digit is 7 less than the unit digit, find the number.
Let x= the unit digit
Then y= the tens digit
<span>And 10y+x= the number
</span>x+y= the sum of the digits
<span>Now we are told that 10y+x=2(x+y) ------1st equation </span>
<span>We are also told that y=x-7 ----------- 2nd Equation </span>
<span>So our equations to solve are: </span>
(1) 10y+x=2(x+y)
<span>(2) y=x-7
</span>
Hope it helps
Answer:
88 in²
Step-by-step explanation:
The shape of a pizza = Circular
Area of a circle = πr²
For Martin
Martin ordered a pizza with a 12-inch diameter.
Radius = Diameter/2 = 12 inch/2 = 6 inch
Area of Martin's pizza = π × 6²
= 113.09733553 in²
≈ 113.1 in²
For Ricky
Ricky ordered a pizza with a 16-inch diameter.
Radius = Diameter/2 = 16 inch/2 = 8 inch
Area of Martin's pizza = π × 8²
= 201.06192983in²
= 201.1in²
The approximate difference in area of the two pizzas in square inches is calculated as:
201.1 in² - 113.1 in²
= 88 in²