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
Dahasolnce [82]
3 years ago
14

Help me I'll make brainiest

Mathematics
1 answer:
aev [14]3 years ago
7 0
<h3>Answer:  RS = 16</h3>

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

Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

  • QR = x
  • RS = 4x
  • ST = 5x

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

-----------

As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

You might be interested in
Graph h(x)=0.5(x+2)^2 -4 by following these steps:
Goshia [24]

Answer:

Step 1: Identify a, h, and k.

a=0.5, h= -2, k= -4

Step 3: The axis of symmetry is the line x= -2

Step 4: h(-4)= -2 h(-6)= 4

The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)

Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.

4 0
3 years ago
George placed the numbers -1/2 , 8/9 , 0.2 and on the numberline . Which of the numbers is furthest from zero ?
dimaraw [331]
Furthest from 0, so I am going to take the absolute value of these numbers. The absolute value will tell us how far away from 0 these numbers are. 
|-1/2| = |- 0.5| = 0.5
|8/9| = |0.88| = 0.88
|0.2| = 0.2

so the number furthest from 0 is 8/9
7 0
3 years ago
What is 2^30 write using exponents explain ur reasonging
padilas [110]
2 to the 30 power is <span>1073741824</span>
5 0
3 years ago
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.According to the graph, what is the solution to
gtnhenbr [62]

Answer:

(-4, -3)

Step-by-step explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!

6 0
3 years ago
Read 2 more answers
How do I solve %15 of 240
Black_prince [1.1K]

Answer:

36

Step-by-step explanation:

Turn %15 into a decimal, which is .15, and then 240 x .15

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation.<br> 6 - x - x = 18
    10·2 answers
  • Terry is putting a fence around his circular pasture. The radius of the pasture is 25 ft. Which of the following gives the BEST
    12·1 answer
  • I don't know how to do this. Can someone help me please?
    10·1 answer
  • 2(8-y)<br> Distributive property
    15·2 answers
  • Help please 15 points up for grabs
    9·1 answer
  • Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup
    6·2 answers
  • Whats 3 to the 2nd power times 3 to the 5th power in a single exponent
    13·2 answers
  • HELP PLSSS Function g is a transformation x of f(x) = 2 ^ x Select all the true statements about the functions. (F-|F.2.4)
    12·1 answer
  • I will mark you branlist!!
    13·2 answers
  • Join z oo m ????????????????
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!