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
mariarad [96]
3 years ago
10

If APOR is an equilateral triangle, PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10, find x and

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

The value of x is 3 and measure of each side is 55.

Step-by-step explanation:

Consider the provided information.

If ΔPOR is an equilateral triangle,

PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10,

A triangle is said to be equilateral if all the sides are equal.

Therefore, PQ = QR = PR

PQ = QR \\18x + 1,=24x-17\\6x=18\\x=3

Therefore, the value of x is 3.

PQ = 18x + 1

PQ = 18(3) + 1

PQ = 55

As we know PQ = QR = PR

Thus QR = 55 and PR = 55

The value of x is 3 and measure of each side is 55.

You might be interested in
How do I do this problem?
Elenna [48]
Roots can be written as fraction exponents. An exponent of 1/2 means the square root.

(12 x^{4})^{1/2} =  \sqrt{12 x^{4} }  \\  \\ \sqrt{12 x^{4} } =  \sqrt{3*4*x^{2}*x^{2}} = 2x^{2} \sqrt{3}
8 0
3 years ago
On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip
riadik2000 [5.3K]

Answer:

6 buses and 3 vans

Step-by-step explanation:

5 0
3 years ago
On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other. On the planet Bajor, they use a circular te
anastassius [24]
Opposite Numbers and their Sums:

1+6=7
2+7=9
3+8=11
4+9=13
5+10=15

Because of this, the pair of opposite numbers are 3 and 8 if you want the pair that equal 11.
7 0
3 years ago
Find the y value for the point that spilts GH in half if point G is laocated at (-3, 5) and point H is located at (0, -2).
kiruha [24]

Answer:

y value: 1.5

Step-by-step explanation:


3 0
3 years ago
SHOW YOUR WORK. 44.22 divided by (-6.7) and -6.46 divided by 0.04​
zimovet [89]

Answer: -6.6 and -161.5

Step-by-step explanation: 44.22/-6.7=-6.7 -6.46/.04=-161.5 <——- not to sure about that one

3 0
3 years ago
Other questions:
  • 8/25 write as a percent
    8·1 answer
  • What is the interquartile range of the data set?
    5·2 answers
  • Solve 2^16x=16^2x for x
    14·1 answer
  • Find two positive numbers whose product is 81 and whose sum is a minimum.
    5·1 answer
  • A spinner is divided into 3 equal sections shaded blue, green and orange. Brody spins the spinner. If he spins the spinner 300 t
    5·2 answers
  • What is the difference between a postulate and a theorem?
    8·2 answers
  • What is the value of x
    11·1 answer
  • Hi please write what's in the comments as the answers! I want people to know the answers!! Tai Chi is often recommended as a way
    10·1 answer
  • What would the exponent be in the exponential expression of 16*16*16*16*16
    5·1 answer
  • Order this set of integers from greatest to least:​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!