In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Answers
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
Learn more:
You can learn more about triangle in brainly.com/question/12985572
#LearnwithBrainly
Related Questions
Which is the best definition of a quadrilateral? A( A four sided polygon with no equal sides B(a parallelogram with no equal sides C( A four sided polygon D( A parallelogram with two pairs of equal angles P.s I already asked this question once but it wouldn't let me edited it to put the answer choices)
My teacher doesn’t really teach, so I don’t understand ANYTHING, so just need some help figuring out he answer !
In February 2010, the population of the world wasapproximately 6 800 000 000 people. Another way of writing this number is a.6.8 × 10^8 b.6.8 × 10^9 c.68 × 10^9 d. 68 × 10^10
What is the product of 4/5 and 8
Answers
Answer:
Each carried 1.95 kg weight
Step-by-step explanation:
Given :Three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment.
A fourth climber with no equipment joined the group The group divided the total weight of climbing equipment equally among the four climbers
To Find : How much did each carry ?
Solution :
Each person out of three is carrying weight = 7.8 kg
So, Total weight carried by 3 climbers =
Now A fourth climber with no equipment joined the group
Total weight is divided among 4
So, weight carried by each climber =
Hence each carried 1.95 kg weight
The correct answer is:
Each climber is carrying 5.85 kg.
Explanation:
3 of the 4 climbers is carrying 7.8 kg each; this is 3(7.8) = 23.4 kg.
Dividing this equally among the 4 climbers, we have 23.4/4 = 5.85 kg each.
What is -8.6 divide (-3)
Answers
Explain
Answers
Answers
The second spinner has 4 possibilities with no repeats so the chances of landing on any one of the pieces is 1/4.
The chances of spinning specifically c and 2 together would be
1/5 × 1/4 = 1/20
Answers
Answer:
B(4, - 3 )
Step-by-step explanation:
We have A(2, - 7) and C(7, 3 )
Using the section formula to calculate the coordinates of B
=
=
=
= 4
=
=
=
= - 3
Hence B(4, - 3 )
Answer:
2 1/5, 1/5
Step-by-step explanation:
khan academy
Answers
Hey there!
First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:
y = 1000(1.24)^x
Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.
Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.
They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.