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
Murrr4er [49]
2 years ago
12

∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.

Mathematics
1 answer:
Georgia [21]2 years ago
8 0

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

You might be interested in
If an equilateral triangle has side length s, what is the total perimeter of the triangle? Write an equation.
kari74 [83]

Given that there is an equilateral triangle.

We know that equilateral triangle has all sides equal.

Perimeter = sum of all sides

P = s+s+s = 3s

P = 3s is the equaiton where P = perimeter and s = side of the triangle.

In geometry, an equilateral triangle is a triangle in which all three sides and angles  are equal. ; that is, all three internal angles are also congruent to each other and hene have to be  each 60°. It is also a regular polygon, with three sides and so sometimes also referred to as a regular triangle.

4 0
3 years ago
Read 2 more answers
Find the value of x.<br> 76
azamat
This picture is depicting a straight line, therefore all we have to do is subtract 76 from 180. You get 104

Your answer is 104 degree
3 0
4 years ago
What is the perimeter of rhombus wxyz?
VikaD [51]
One of the properties of rhombus is its sides are congruent. Therefore, we will only need to find the length of one side using the distance formula. At line YZ, the distance is \sqrt{ (x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2}}

D = \sqrt{ (5 -3 )^{2} +(5 -2) ^{2}  }  = √13

To get the perimeter, multiply one side to 4. Hence, the perimeter is 4√13 (C)
4 0
4 years ago
Read 2 more answers
Which statements must be true? Select each correct answer
kupik [55]

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

By the property of midsegment,

Segment joining midpoints of two sides of a triangle measures the half of the third side of the triangle and midsegment is parallel to the third side.

Since, points U, V and W are the midpoints of the sides JK, KL and LJ,

UW = \frac{1}{2}(KL)

UV = \frac{1}{2}(JL)

VW = \frac{1}{2}(JK)

UV ║ JL

UW ║ KL

VW ║JK

Therefore, options (1), (3) and (5) are true.

7 0
3 years ago
How do I do this!!!!!
Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0
2 years ago
Other questions:
  • Which values of x will make the absolute value equation true?<br><br> |x – 3| = 40
    8·1 answer
  • What is the initial value of the function represented by this graph?
    7·1 answer
  • The primary deliverables from requirements determination include: A. sets of forms, reports, and job descriptions B. transcripts
    6·1 answer
  • How to do the problem
    7·1 answer
  • What two fractions have the product of -4/9
    12·1 answer
  • The question is down below
    7·1 answer
  • A 4 pound bag of oranges costs $3.92.A 40 pound case of oranges costs $39.20.Which equation below is correct for this proportion
    10·1 answer
  • What is the definition of line segment?
    8·1 answer
  • Help help help help pls
    5·1 answer
  • True or False.<br> 43 = 62
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!