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
lakkis [162]
2 years ago
11

The measure of AngleRST can be represented by the expression (6x + 12)°. Three lines extend from point S. The space between line

s S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12. What is mAngleRST in degrees?
Mathematics
1 answer:
DochEvi [55]2 years ago
8 0

Answer:The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<RST=(6x+12)\° -----> equation A

m<RST=78\°+(3x-12)\° -----> equation B

equate equation A and equation B

(6x+12)\°=78\°+(3x-12)\°

You might be interested in
7. Ella and her family normally pay $165 per
Anna [14]

Answer:

$99

Step-by-step explanation:

Cost of electricity per year= $165

Tax per month= 5%

Amount of tax paid per month= 5% of $165

= 0.05 × 165

= $8.25

Ella's family pays $8.25 tax per month

There are 12 months in 1 year

Ella's family will pay Ina year = $8.25 × 12

= $99

Ella's family will pay $99 tax for an entire year

4 0
2 years ago
3,298,076 in expanded form
LekaFEV [45]
3,000,000+200,000+90,000+8,000+70+6
6 0
2 years ago
Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. find the probabil
mario62 [17]

Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

Step-by-step explanation:

Since we have given that

Mean rate defects per unit = 0.3

Since we will use "Poisson distribution":

P(X=K)=\frac{e^{-\lambda}\lambda^k}{k!}

But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.

P(X\geq 2)=1+P(X=0)+P(X=1)

So,

P(X=0)=\frac{e^{-0.3}0.3^0}{0!}=e^{-0.3}=0.74\\\\P(X=1)=\frac{e^{-0.3}\times 0.3}{1}=0.22

so, it becomes,

P(X>2)=1-(0.74+0.22)=1-0.96=0.04

Hence, probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

4 0
2 years ago
You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man
Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.  

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials =\frac{3}{7}

and probability of my friend's winning is  =1-\frac{3}{7}=\frac{4}{7}  

Let there be n numbers of trials.

Therefore, my score after n trials =\frac{3n}{7}

and my friend's score after n trials   =\frac{4n}{7}

Now, the number of trials my friend won more than me is

\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

\frac{n}{7}=5\\n=7\times5=35

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win \frac{3\times 35}{7}=15 trials

and my friend will win \frac{4\times 35}{7}=20  trials.

Hence, my friend won 5 more trials than me.

3 0
2 years ago
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
shepuryov [24]
The probability that both the chosen students are sophomores is 6/20 or 3/10 simplified.
the expresión that represents the probability that both students have chosen are sophomore is (6c1) (5c1) /(20c2) 

5 0
2 years ago
Read 2 more answers
Other questions:
  • A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli
    10·1 answer
  • In seven years, Huang will be two times as old as he was last year. How old is he now?
    13·2 answers
  • EAB and DCB are two right triangles. The figure has BED≅ BDE. Point B is the midpoint of segment AC. Prove: EAB≅ DCB
    13·1 answer
  • jeleeza got a 5 percent raise from her boss. if she was making $8 an hour, how much is she making now?
    6·2 answers
  • In a room, there are 450 students of which 20% are girls. A group of students have mobile phones with them, of which 40% are gir
    11·2 answers
  • What is the maximum volume of water a hamster bath could hold with a deph of 1 2/3 , a length of 2 1/3 inches and width of 2 inc
    10·1 answer
  • Guy has saved a total of $95. He buys an airplane model kit for $9, and he wants to donate $8 to each of several local animal sh
    11·1 answer
  • Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd
    8·1 answer
  • A grocery bag contains x apples, each weighing One-third of a pound, and y pounds of grapes. The total weight of the grocery bag
    13·1 answer
  • Can someone please help the question is below thank you!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!