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
stepladder [879]
1 year ago
11

>> What is the value of x that makes PQ|| RS? plssss help. i need help bad

Mathematics
1 answer:
kirill [66]1 year ago
5 0

Answer: 55

Step-by-step explanation:

By the alternate exterior angles theorem,

3x-65=2x-10\\x-65=-10\\x=55

You might be interested in
Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?
Sonbull [250]

Answer:

-6 < k < 2

Step-by-step explanation:

Given

y = x^2 - 2x

y =kx -4

Required

Possible values of k

The general quadratic equation is:

ax^2 + bx + c = 0

Subtract y = x^2 - 2x and y =kx -4

y - y = x^2 - 2x - kx +4

0 = x^2 - 2x - kx +4

Factorize:

0 = x^2 +x(-2 - k) +4

Rewrite as:

x^2 +x(-2 - k) +4=0

Compare the above equation to: ax^2 + bx + c = 0

a = 1

b= -2-k

c =4

For the equation to have two distinct solution, the following must be true:

b^2 - 4ac > 0

So, we have:

(-2-k)^2 -4*1*4>0

(-2-k)^2 -16>0

Expand

4 +4k+k^2-16>0

Rewrite as:

k^2 + 4k - 16 + 4 >0

k^2 + 4k - 12 >0

Expand

k^2 + 6k-2k - 12 >0

Factorize

k(k + 6)-2(k + 6) >0

Factor out k + 6

(k -2)(k + 6) >0

Split:

k -2 > 0 or k + 6> 0

So:

k > 2 or k > -6

To make the above inequality true, we set:

k < 2 or k >-6

So, the set of values of k is:

-6 < k < 2

3 0
2 years ago
List two attibutes of a trapezoid for a kinderaten
ehidna [41]
Base angles and distance
5 0
2 years ago
Read 2 more answers
Find the product. 312 × 15 <br><br> A.4,680 <br> B.4,670<br> C. 1,872 <br> D.1,862
lana [24]

Answer:

A. 4,680

Step-by-step explanation:

312*15=4,680

7 0
2 years ago
Read 2 more answers
a group of friends went to lunch. the bill, before sales tax and tip, was $37.50. a sales tax of 8% was added. the group then ti
valentina_108 [34]
First, there was $37.50.
Then, there was a tax of 8%.
Then, there was a tip of 18%.
Since the tip is after the tax, it's not going to affect it, and we can essentially ignore it.

The real question here is just <em>what is 8% of $37.50?</em>

To find the percent of something, first you need to put the percent as a decimal.

8% in decimal form is 0.08 (If you think about it literally, they're both 8 hundredths)

Finally, just multiply the percent in decimal form by the number.

37.50 dollars × 0.08 = 3 dollars.<em />
6 0
2 years ago
Read 2 more answers
What is the equation of the line written in general form (2,4) (-1,-5)
elena-s [515]
First, you must find the slope, which is -5-4/-1-4, or 1.8, and then put it in point-slope form, or y-4=1.8(x-2), which simplifies to y-4=1.8x-3.6, and so put it in general/standard form, you have to subtract 1.8x from both sides and then add 4 to both sides, and lastly divide both sides of the equation by -1.8 to get x+y=1.889, or x+y=1.6/1.8.   This is not copied and pasted.
6 0
3 years ago
Other questions:
  • HELP ON GEOMETRY!!! PHOTO ATTACHED
    15·1 answer
  • Helppppppppppppp ppppppppplllllllllleeeeeeeeeeeeeaaaaaaaaaaaasssssssssseeeeeeeeeeee
    5·1 answer
  • Please help me with the correct answer
    9·2 answers
  • Is (6/5, 2) a solution to y = x + 4/5​
    11·2 answers
  • Sally is 12 years and 7 months old. Her pet cat is 4.260 days old. Who is older? is older. She is old.​
    8·1 answer
  • 1.99 divided by 3 to the nearest cent.
    8·1 answer
  • PLEASE HELP AND FAST I'M TRYING TO GET GOOD GRADES
    10·2 answers
  • Helppppppp!!!!!!!!!!
    6·1 answer
  • 6(x-2)=-18 solve the equation
    14·2 answers
  • If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!