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
lozanna [386]
3 years ago
13

I need help asap!!!!

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 =  180              Collect the like terms

3x +2x + 31 - 6 = 180               Do the adding and subtracting.

5x + 25 = 180                          Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155                                   Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x -  15 = 90

Solution

7x - 15 = 90        Like terms have been collected on the left.

7x = 90 + 15       15 was added to both sides

7x = 105              Divide by 7      

x = 15                       I'll leave the check to you


You might be interested in
Does anyone know this?
Bumek [7]

Answer:

B

Step-by-step explanation:

Initial mean = 156, Changed mean = 163.92

So, mean increases. Only condition that satisfies this is B.

7 0
3 years ago
Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain
Molodets [167]

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

3 0
3 years ago
Find the indicated real nth root(s) of a. n=3, a=729
marissa [1.9K]

Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

6 0
2 years ago
What effect will a 90 degree clockwise rotation have on the triangle
N76 [4]

A 90 degree clockwise rotation will leave the sides with the same length,
will leave the angles the same , it will only change the position of the triangle. 
The rotated triangle  will be congruent to the original triangle 
8 0
3 years ago
Suppose a certain character in a role-playing game has an ability to use in battles. When activated, the ability deals damage to
Helen [10]

Answer:

The chance of getting exactly 3 hits is =  0.20

Step-by-step explanation:

P.S - The exact question is -

As given,

F(x) = 0 ,          x < 1

         0.30 ,     1  ≤ x < 2

         0.56 ,     2 ≤ x < 3

         0.76 ,     3 ≤ x < 4

         0.9 ,       4  ≤ x < 5

         1 ,            5  ≤ x

Now,

f(x) = 0.30 ,                            x = 1

        0.56 - 0.30 = 0.26 ,     x = 2

         0.76 - 0.56 = 0.20 ,     x=3

         0.9 - 0.76 = 0.14  ,       x = 4

         1 - 0.9 = 0.1 ,                 x = 5

          0,                                 otherwise

Now,

The chance of getting exactly 3 hits is = f(x = 3) = 0.20

8 0
3 years ago
Other questions:
  • Find the area of the entire surface of the prism. <br> 5 4 3
    9·2 answers
  • Write the standard form of the equation of each line given the slope and y- intercept
    5·1 answer
  • Andy estimated that he would need 71 feet of lumber for a tree house project. He later found that the actual amount of lumber ne
    6·2 answers
  • Find the mode of the following distribution
    14·1 answer
  • Please help I'm lost.
    11·1 answer
  • A boy makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How manny such cuboids will he need to form a cube?
    9·1 answer
  • there are 35 bugs that need to be placed in jars. there can not be more than 10 bugs in each jar and the jars need to be filled
    13·1 answer
  • How to solve<br> ([120-2+(46-15)+2]-(9+4)
    7·1 answer
  • A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents that bivariat
    11·2 answers
  • What is the inverse of the function f(x) = 2x + 1?|
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!