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
earnstyle [38]
2 years ago
13

In the diagram, PQ and ST are parallel lines. Find the value of x.please help!!​

Mathematics
1 answer:
Valentin [98]2 years ago
5 0

Answer:

x = 95°

Step-by-step explanation:

m\angle Q = 360\degree - 235\degree = 125\degree \\

Produce QR In such a way that it intersects ray ST at any point say M.

PQ || ST... (given) and Seg QM is transversal.

\therefore m\angle PQM + m\angle SMQ = 180\degree \\(interior \: \angle \:Postulate) \\\therefore 125\degree + m\angle SMQ = 180\degree \\\therefore m\angle SMQ = 180\degree -125\degree \\\therefore m\angle SMQ = 55\degree \\In\: \triangle SMR, \: x \: is \:exterior \: \angle \\\therefore x = 40\degree + 55\degree \\\huge \purple {\boxed {\therefore x = 95\degree}}

You might be interested in
Use given graph to determine the limit, if it exists. Find lim f(x) -2 and lim f(x) 2+ WILL GIVE BRAINLIEST
Gelneren [198K]

Answer:

it does not exist my friend

7 0
2 years ago
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you
Jet001 [13]
Yeah it would be just because
7 0
3 years ago
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 101010 denarii per day to support 444
givi [52]

<u>the correct question is</u>

The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?

Let

x-------> the cost to support a legionary per day

y-------> the cost to support an archer per day

we know that

4x+4y=10 ---------> equation 1

2x+2y=5 ---------> equation 2

If you multiply equation 1 by 2

2*(2x+2y)=2*5-----------> 4x+4y=10

so

equation 1 and equation 2 are the same

The system has infinite solutions-------> Is a consistent dependent system

therefore

<u>the answer is</u>

We cannot solve for a unique cost for each soldier, because there are infinite solutions.

5 0
3 years ago
Please help math I'm bad
gladu [14]

Answer:

6

Step-by-step explanation:

Square root of 10^2 - 8^2 is 6.

7 0
3 years ago
If one side of a triangle is 5cm what is the maximum difference of other two side​
gtnhenbr [62]

Answer:

100cm

Step-by-step explanation:

the difference between of 5cm

4 0
3 years ago
Other questions:
  • WILL GIVE BRAILEST Line segment AB is congruent to line segment CD. Which of the following is an equivalent statement? AB overba
    5·1 answer
  • If the map is 3 quarter inches represents one half mile, what is the unit rate inches per mile?
    12·1 answer
  • 1+1= what is the answer
    15·2 answers
  • Does anyone know how to do this. that can please show me the work ?? <br> -view attachment
    12·1 answer
  • Does y=0.8(2.1)^x represent exponential growth or decay?
    7·1 answer
  • What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)
    10·1 answer
  • a recipe for cookies calls for 10 1/6 cups of sugar. krystal has already put in 4 2/3 cups. how many more cups does she need to
    9·1 answer
  • N a problem it says that x is "at most –5." What does this mean?
    6·1 answer
  • Write an equation of the line that passes through (0, – 6) and is parallel to the line y = 3x – 8. An equation of the parallel l
    13·1 answer
  • Move the numbers to the blanks to solve the problem<br><br>6 divided by 1/3​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!