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
Elden [556K]
3 years ago
5

Mathematical connections

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
RS + ST = RT

a.
2x + 10 + x - 4 = 21
3x + 6 = 21
3x = 21 - 6
3x = 15
x = 15/3
x = 5
RS = 2x + 10 = 2*5 + 10 = 10 + 10 = 20
ST = x - 4 = 5 - 4 = 1

b.
3x - 16 + 4x - 8 = 60
7x - 24 = 60
7x = 60 + 24
7x = 84
x = 84/7
x = 12
RS = 3x - 16 = 3*12 - 16 = 36 - 16 = 20
ST = 4x - 8 = 4*12 - 8 = 48 - 8 = 40

c.
2x - 8 + 11 = x + 10
2x + 3 = x + 10
2x - x = 10 - 3
x = 7
RS = 2x - 8 = 2*7 - 8 = 14 - 8 = 6
RT = x + 10 = 7 + 10 = 17

d.
4x - 9 + 19 = 8x - 14
4x + 10 = 8x - 14
10 + 14 = 8x - 4x
24 = 4x
x = 24/4
x = 6 
RS = 4x - 9 = 4*6 - 9 = 24 - 9 = 15
RT = 8x - 14 = 8*6 - 14 = 34
You might be interested in
!!!!!!!!!!!!help me
steposvetlana [31]

Answer:

Step-by-step explanation:

i'll do a few of them

1)   one inch plus a half inch plus an eighth inch plus a sixteenth inch

     1 + 1/2 + 1/8 + 1/16         read the tick marks

     1 + 8/16 + 2/16 + 1/16    find a common denominators

     1 and 11/16                    add the sixteenth numerator

2)

3)

4)  6 inch  plus an eighth inch plus a sixteenth inch

     6 +  1/8 + 1/16         read the tick marks

     6 + 2/16 +  1/16       find a common denominators

     6 and 3/16              add the sixteenth numerator

5)   nine inch plus a quarter inch plus an eighth inch

     9  + 1/4 + 1/8          read the tick marks

     9 + 2/8 + 1/8          find a common denominators

     9 and 3/8              add the sixteenth numerator

5 0
3 years ago
Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.
Anton [14]
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B, 
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7  [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!
6 0
4 years ago
What is the solution of log(3x − 2)125 = 3?
Reil [10]
log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\  \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125}  \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3
8 0
3 years ago
How do you solve this?
Novay_Z [31]

Let's solve your equation step-by-step.


−7x=−2x2+15


Step 1: Subtract -2x^2+15 from both sides.


−7x−(−2x2+15)=−2x2+15−(−2x2+15)


2x2−7x−15=0


Step 2: Factor left side of equation.


(2x+3)(x−5)=0


Step 3: Set factors equal to 0.


2x+3=0 or x−5=0


x=  \frac{-3}{2} or x=5

Answer:


x=    \frac{-3}{2} or x=5


Hope this helps

7 0
3 years ago
Whats the length of A, B and C
kondaur [170]

Answer:

B should be 3 inches long because the area of the square above is 48 inches squared, so that long side is probably 8. B is 3 inches long. As for A, this should be simple. since we know the longer side of the room has the area of 27, we can tell the length(longest side) is 9. 14 minus 9 is equal to 4. A's width is 4 inches long.

Step-by-step explanation:

for the rest, since we know one of the widths is 6 inches, we know that the length of the room with an area of 32 inches is 8. therefore, since 8 times 4 equals the number 32, C is 4 inches long. back to B. since we know that c is 4 inches long and that there is a length of 11 inches, we can tell the longest side of room A is 7. 4 Times 7 equals 28, so B is 28 inches squared.

3 0
3 years ago
Other questions:
  • Screen printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial setup time. If it takes 30 min
    11·1 answer
  • ملی
    5·1 answer
  • What shape would you make if you connected the intersections to each endpoint. Instead of connecting the intersections of the ar
    13·1 answer
  • Solve for x in the equation ]x^{2} - 12x + 59 = 0
    5·2 answers
  • 7
    6·1 answer
  • Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=81x^4-16
    10·1 answer
  • State the domain and range of the relation. Determine whether the relation represents a function.
    11·1 answer
  • What is the answers and how do u get those answers
    5·1 answer
  • 11.1/0.01= what is the answer
    11·2 answers
  • How do you do this. Please give a full answer and explain why.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!