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
tatuchka [14]
3 years ago
7

Please help me i need to solve for RS

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

<h2>         RS = 47</h2>

Step-by-step explanation:

RV=VU and SW=WT    ⇒    VW=\dfrac{RS+UT}{2}

So:

3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47

You might be interested in
Can someone plz help me :( !!
Alina [70]

Answer:

123

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when n = 29, p = 0.78. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

P = (0.78)^{7}*0.22 = 0.0386

3.86% probability that the first woman is reached on the 8th call

4 0
3 years ago
THE PRODUCT (x-10)(x+2) is equivalent to
marissa [1.9K]
You can use the FOIL method when you have two binomials. First, outer, inner, last

7 0
3 years ago
Help me out with this question (geometry)
Usimov [2.4K]

Answer:

Step-by-step explanation:

∠UST=2 m∠2

10x+10=2(6x-1)

10x+10=12x-2

12x-10x=10+2

2x=12

x=6

m∠UST=10×6+10=70°

4 0
2 years ago
Kohl's sells casual shirts for $9 and Poles shirts for $18. Total sales $1080, and customers bought 4 times as many casual as po
lbvjy [14]
If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20

The number of casual shirts have been sold is 4*20=80

6 0
3 years ago
Other questions:
  • A submarine dives 280 feet below the water surface. It then rises back up to wards the surface at 55 feet per minute for 5 minut
    8·1 answer
  • The tip of an 11-inch wiper blade wipes a path that is 31 inches long. What is the angle of rotation of the blade in radians to
    9·2 answers
  • In circle A, ∠BAE ≅ ∠DAE What is the value of x?
    8·2 answers
  • If you cannot see the photo the question is A rental car charges 160.00 per week plus 0.25 per mile to rent a car. How many mile
    13·1 answer
  • WILL GIVE BRAINLEST IF HELP!
    15·1 answer
  • I will give brainliest if correct
    5·2 answers
  • Find the circumference of the object. Use 3.14 or 22 for 1. Round to the nearest hundredth, if necessary.
    13·1 answer
  • Answer 2,3,and 4<br> I really need help<br><br><br> thx
    12·2 answers
  • I want to know organic in grade 10<br>​
    11·1 answer
  • Solve the following system of equations.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!