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
mestny [16]
3 years ago
12

Does anyone know how to do number 18????

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer: angle ITU = 145 degrees

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

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

You might be interested in
What is the value of n in the equation 32 × 33 = 3n?
adoni [48]

Answer:

5

Step-by-step explanation:

u can add 2 and 3 when their base number (3) are the same

6 0
3 years ago
Read 2 more answers
What’s the sum of g and -7
GenaCL600 [577]

I don’t understand the question.

3 0
3 years ago
If log4(x) = –2 , which of the following is the correct value of X?
leva [86]

Answer:

c

Step-by-step explanation:

4*-8=-2

3 0
3 years ago
i need a box with a square base and an open top that cna hold 500 in^3. what is the least amount of material i can use to build
exis [7]

Answer:

M(x)  =  452,56 in

Step-by-step explanation:

The volume of the open box is  500 in³

V = Area of the base times height

V(b) =  x² * h               where x is the side of the square and h the heigh

Then     500 =  x²*h

Total material to use is: material of the base + material of 4 sides

material of the base is  x²

material of one side is x*h  we have 4 sides then  4*x*h

Total material M(b)

M(b)  =  x²  +  4*x*h

And    as    h  =  500/ x²

M(x)  =  x²  +  4* x* 500/x²

M(x)  =  x²  +  2000/x

Tacking derivatives on both sides of the equation

M´(x)  =  2*x   - 200/x²

M´(x)  =  0         2*x  -  200/x²  = 0

x³ -  100  =  0

x³   =  100

x   =  4,64 in

And By substitution     h  =  500/x²

h  =  500/(4,64)²           h  =  23,22  in

How do we know that x = 4,64 make V(x) minimum

we get the second derivative

M´´(x)  =  2  +  200*2x/ x⁴    =  2  +  400/x³

M´´(x) is always positive

M´´(x) > 0     then M(x) has a minimum for  x= 4,64 in

The least amount of material is:

M(x)  =  x²    +    2000/x

M(x)  =  (4,64)²  *  2000/4,64

M(x)  = 21,53  +  431,03

M(x)  =  452,56 in

8 0
3 years ago
What is the distance between the points (-4, 7 ) and (2, 7 )
Andreas93 [3]

Answer:

6.

Step-by-step explanation:

Since the y-value is the same, the two points make a horizontal line. You can think of it as a number line, where the first point is at -4 and the second is at 2. So, the distance between -4 and 2 is 6.

7 0
3 years ago
Other questions:
  • Which best describe all possible classifications for the following set of numbers?
    15·1 answer
  • How many tons are in 40000 pounds
    6·1 answer
  • -2y-4=4(y-1) how do i solve this?
    13·1 answer
  • Please answer this question now
    13·1 answer
  • A person is chosen at random. What is the probability that they passed the driving test?
    10·1 answer
  • Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips
    10·1 answer
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his foo
    14·1 answer
  • Gracie drove 280 miles in 2.5 hours. How long will it take her to drive 710 miles at that same speed?
    14·1 answer
  • Help plz asap i reward brainliest<br> im being timed!!!!
    11·2 answers
  • Please help me answer 61-64 with explanations please (if u can)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!