answer.
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
zepelin [54]
2 years ago
4

Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The s

pace between S and T is 3 x. If RT is 10 centimeters long, what is ST?
Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

Answer:

ST = 6cm

Step-by-step explanation:

Given

RS =2x

ST = 3x

RT = 10

Required

Find ST

From the question, we understand that S is between R and T.

So:

RS + ST = RT

Substitute known values

2x + 3x = 10

5x =10

Divide both sides by 5

x =2

Given that:

ST = 3x

ST = 3 * 2

ST = 6cm

You might be interested in
A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x +
Tcecarenko [31]

Answer:

g(x) = (x-6)(2x-1)

Step-by-step explanation:

g(x) intercepts the x-axis at these 2 points:

(6,0) ;(1/2,0)

⇒ 6 and 1/2 are roots ie; if you insert x=6 or x=1/2 into the equation of g(x) you will obtain a 0.

g(6) = g(1/2) = 0

now in order for 0 to appear we should have x-6

now in order for 0 to appear we should have x-1/2

but  x-1/2 doesn't appear in any of these, but its multiple of 2 is there:

2(x-1/2) = 2x-1

Therefore the function;

g(x) = (x-6)(2x-1)

5 0
2 years ago
Read 2 more answers
What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu
notsponge [240]

Answer:

The volume of the pyramid is 1,260\ cm^{3}

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

B=\frac{1}{2}bh

we have

b=14\ cm

h=18\ cm

substitute

B=\frac{1}{2}(14)(18)=126\ cm^{2}

step 2

Find the volume

we have

B=126\ cm^{2}

H=30\ cm

substitute

V=\frac{1}{3}BH

V=\frac{1}{3}(126)(30)=1,260\ cm^{3}

5 0
2 years ago
Read 2 more answers
What is log Subscript 15 Baseline 2 cubed rewritten using the power property?
nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is \log_{15}2^3, then we can use the power property of logarithm , which is \log_ab^n=n\log_ab.

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

\log_{15}2^3=3\log_{15}2

Using the power property of logarithm, the equivalent expression is 3\log_{15}2

7 0
2 years ago
Read 2 more answers
6 use fermat’s theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 29. (
Ulleksa [173]
If

x^{85}\equiv6\mod29

then we have

\dfrac{x^{85}}6\equiv1\mod29

By Fermat's little theorem, if a is not divisible by a prime p, then

a^{p-1}\equiv1\mod p

This works for x=6; in this case, we would have

\dfrac{6^{85}}6=6^{84}=\left(6^3\right)^{28}=\left(6^3\right)^{29-1}\equiv1\mod29
7 0
2 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. Assume that the weights of boxes are
Sedaia [141]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
    11·2 answers
  • The graph of a proportional relationship passes through (12, 16)<br> and (1, y)<br> . Find y
    6·2 answers
  • Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6 consider the d
    9·2 answers
  • A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this
    6·2 answers
  • Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) a
    12·2 answers
  • Jiaqi,Gwen and Patricia painted rhe walls of a room together . Jiaqi painted 4/7 of the walls . Gwen and Patricia painted an equ
    7·1 answer
  • A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are ma
    13·1 answer
  • How do you Simplify : (-2x + 8.1y) - (-9x + 5.3y).
    6·1 answer
  • An insurance company uses the formula T=3.5n + 5 to work out the cost, T pounds, for insuring a customer for n days. Work out th
    14·1 answer
  • Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!