All categories

5 months ago

Line m is intersected by line n. What is the value of x?

Mathematics

1 answer:

11111nata11111 [884]5 months ago

4 0

The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.

Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;

3x + x = 180

4x = 180

Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)

x = 45

You might be interested in

Determine the given point is a solution to the equation. Show all work.<br> 1) 3x-7y=4; (1,-1)

marusya05 [52]

Answer:

NOT a solution

Step-by-step explanation:

Substitute the values of x and y and see if the equation is satisfied:

3(1) -7(-1) = 3 +7 = 10 ≠ 4 . . . . . . the given point is not on the line

(1, -1) is not a solution to the equation.

_____

(-1, 1) is a solution

6 0

3 years ago

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

romanna [79]

Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : $11+13=24$

Total number of ways to structure a jury of six people from a group of 24 people :-

$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

a) Number of ways of selecting a jury of all students :-

$^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{462}{134596}=\dfrac{3}{874}$

b) Number of ways of selecting a jury of all faculty :-

$^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{1716}{134596}=\dfrac{30}{3059}$

c) Number of ways of selecting a jury of two students and four faculty :-

$^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325$

Then , the probability of selecting a jury of all students :-

$\dfrac{39325}{134596}=\dfrac{3575}{12236}$

3 0

2 years ago

What is equation represents Jakes situation

vlabodo [156]

Answer:

the first one

Step-by-step explanation:

i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies

3 0

3 years ago

Read 2 more answers

The recycling club has a goal to recycle 2,000 pounds of newspaper this year. They have already recycled 1,585 pounds. How many

Burka [1]

Hi lola66795 i know the answer the answer is 415 pounds what you have to do is subtract 1585 from 2000 and you will get 415

3 0

3 years ago

Jake buys a drink and sandwich for $7.95. The drink costs $2.25. Write an equation to find the cost of the sandwich x

Nesterboy [21]

Answer:

$7.95-$2.25=x

Step-by-step explanation:

pls brainliest

8 0

2 years ago

Read 2 more answers