1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrey2020 [161]
3 years ago
11

In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

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 = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ 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

You might be interested in
PLZZZZZ HELP!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!
postnew [5]

Answer:

radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)

diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)

chord : AB ( it is a line segment joining any two points on the circle)

8 0
3 years ago
Read 2 more answers
I need to get a better grade
Ne4ueva [31]
Yes you do and what grade are you in and do you need help answering these questions
6 0
3 years ago
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
MA_775_DIABLO [31]
The answer will be -8+13
4 0
2 years ago
Bailey has an hour to get ready for school. She spends 3/6 of the time getting dressed. She spends 1/4 of that time eating break
Katen [24]
Well, to find out whether she spent more time getting dressed or eating breakfast, we simply have to compare the fractions of the hour that she took on each.
We know that she took 3/6 of an hour to get dressed and 1/4 of an hour to eat breakfast. To find out which activity she spent more time on, we simply need to see which fraction is bigger.
To do this, we must first reduce the fractions to lowest terms. 1/4 is already in lowest terms, so we can leave that alone. 3/6 can be reduced, however, and since 3 goes into 6 twice, it reduces to 1/2.
Now, we can compare the fractions.
Is 1/2 of an hour or 1/4 of an hour more?
The answer is 1/2, so now we know that Bailey spent more time getting dressed than eating breakfast.
Hope that helped! =)
6 0
3 years ago
Can someone please help me: Slove 17+3(z-2)-11z=-7(z+2)+14
gayaneshka [121]

Answer:

z = 11

Step-by-step explanation:

Simplifying

17 + 3(z + -2) + -11z = -7(z + 2) + 14

Reorder the terms:

17 + 3(-2 + z) + -11z = -7(z + 2) + 14

17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) + 14

17 + (-6 + 3z) + -11z = -7(z + 2) + 14

Combine like terms: 17 + -6 = 11

11 + 3z + -11z = -7(z + 2) + 14

Combine like terms: 3z + -11z = -8z

11 + -8z = -7(z + 2) + 14

Reorder the terms:

11 + -8z = -7(2 + z) + 14

11 + -8z = (2 * -7 + z * -7) + 14

11 + -8z = (-14 + -7z) + 14

Reorder the terms:

11 + -8z = -14 + 14 + -7z

Combine like terms: -14 + 14 = 0

11 + -8z = 0 + -7z

11 + -8z = -7z

Solving

11 + -8z = -7z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '7z' to each side of the equation.

11 + -8z + 7z = -7z + 7z

Combine like terms: -8z + 7z = -1z

11 + -1z = -7z + 7z

Combine like terms: -7z + 7z = 0

11 + -1z = 0

Add '-11' to each side of the equation.

11 + -11 + -1z = 0 + -11

Combine like terms: 11 + -11 = 0

0 + -1z = 0 + -11

-1z = 0 + -11

Combine like terms: 0 + -11 = -11

-1z = -11

Divide each side by '-1'.

z = 11

Simplifying

z = 11

4 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
    9·2 answers
  • I need help on this question!!
    9·1 answer
  • Randall invests $7200 in two different accounts. The first account paid 11 %, the second account paid 13 % in interest. At the e
    15·1 answer
  • What represents the product of x AND y + 4?<br><br> xy+4x<br> xy+4<br> x+y+4<br> x+4y
    12·2 answers
  • Simplify the expression: 15w-6w+14w^2
    7·2 answers
  • What is the standard form of the number shown in this caculator display? 3.82eplus7​
    14·1 answer
  • Help that one side is 2x-2
    7·1 answer
  • If x=3 then x^2=9. true or false?
    10·2 answers
  • Consider the following equations and name the property of equality used to solve for the variable.
    7·1 answer
  • The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 f
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!