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densk [106]
3 years ago
5

Two angles are supplementary. One angle is 36 degrees bigger than the other. What is the measure of the bigger angle

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

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{4x-2y+5z=6 <br> {3x+3y+8z=4 <br> {x-5y-3z=5
lesya692 [45]

There are three possible outcomes that you may encounter when working with these system of equations:


  •    one solution
  •    no solution
  •    infinite solutions

We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:

  1. 4x-2y+5z = 6
  2. 3x+3y+8z = 4
  3. x-5y-3z = 5

We are going to use elimination(or addition) method

Step 1: Choose to eliminate any one of the variables from any pair of equations.

In this case it looks like if we multiply the third equation by 4 and  subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.

So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:

4. 4x-20y-12z = 20      

Subtracting eq. 4 from Eq. 1:

(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z

(R.H.S) : 20 - 6 = 14

5. 18y+17z=14

Step 2:  Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.

Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:

(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z

(R.H.S) : 4 - 15 = -11

6. 18y+17z = -11

Step 3:  Solve the remaining system of equations 6 and 5 found in step 2 and 1.

Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:

(L.HS) : 18y+17z-(18y+17z) = 0

(R.HS) : 14-(-11) = 25

0 = 25

which is false, hence no solution exists



3 0
2 years ago
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. W
ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles  + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}

Thus, the probability of selecting both yellow is 5/22.

3 0
3 years ago
PLS HELP ASAP!!! I WILL GIVE BRAINLIEST!!
denis-greek [22]

Answer:

The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Two standard 6 sided dice are rolled. One is purple and one is green. What is the probability that sum of the two dice on a roll
lana [24]

Answer:

1/6

Step-by-step explanation:

As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:

purple result + yellow result = 7

6 + yellow result = 7

yellow result = 1

So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6

5 0
3 years ago
3x+(2x-5)=13-2(x+2)how much is this
Dimas [21]
Look at the pictures it explains the equation step by step tell me if you have any questions the answer is at the bottom

3 0
3 years ago
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