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
Slav-nsk [51]
2 years ago
12

Question 8 (4 points) Find the values of x and y if NO = x + 2y, MO = 3x, PQ = 6x + 4, and OQ = 2y + 4.

Mathematics
1 answer:
kirill [66]2 years ago
5 0

Answer:

<em>x = 12 and y = 16</em>

Step-by-step explanation:

Given the following lengths;

NO = x + 2y,

MO = 3x,

PQ = 6x + 4, and

OQ = 2y + 4.

The following postulates are true;

MN = PQ

Since MO + ON = MN

MN = 3x + x+2y

MN = 4x + 2y

Recall that PQ = 6x+4

Equating both expressions;

4x + 2y=  6x+4

Collect like terms;

4x-6x + 2y = 4

-2x + 2y = 4

x - y = -4 ...... 1

Also MO = OQ

3x =  2y + 4

3x-2y= 4 ....2

from 1; x = -4 + y

Substitute into 2:

3x-2y= 4

3(-4+y)-2y = 4

-12+3y-2y = 4

-12+y = 4

y = 4 + 12

y = 16

Since x = -4+y

x = -4 + 16

x = 12

<em>Hence x = 12 and y = 16</em>

<em></em>

You might be interested in
The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
Y_Kistochka [10]

Answer:

g(x) = (x + 6)^2 - 5

Step-by-step explanation:

To translate f(x) to the left by 6 units, replace x with x+6.

To translate f(x) down 5 units, replace f(x) with f(x)-5.

Together, these replacements give you ...

... g(x) = f(x+6) -5

... g(x) = (x +6)^2 -5

6 0
3 years ago
Please help!!! Will give brainly!! 50 points
AleksAgata [21]

2. Angle Addition Postulate as they are adding both angles

3. 60 + 40 = m <ABC because it's a substitution

4. 100 = m <ABC as it is simplified already

5. Definition of obtuse angle

6 0
3 years ago
Read 2 more answers
Help its due in 5 mins lol
inessss [21]
Y= 26 & x=35 hope I did it on time!
6 0
2 years ago
Which could be the area of one face of the triangular prism? Select three options.
katovenus [111]

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

<u>Triangular face</u>

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units

<u>Rectangular Faces</u>

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

  • 24 square units
  • 72 square units
  • 96 square units

4 0
3 years ago
Read 2 more answers
SOMEONE PLS HELP QUICK WILL GIVE BRAiNLIEST
skad [1K]

Answer:

1. x^2-9x+18

2. 2x^2-4x-16

3. 3x^2-19x-14

4. 6x^2 +14x + 8

Step-by-step explanation:

1. (x-3)(x-6)

x^2 - 6x - 3x +18 = x^2-9x+18

2. (2x+4)(x-4)

2x^2-8x+4x-16 = 2x^2-4x-16

3. (x-7)(3x+2)

3x^2+2x-21x-14 = 3x^2-19x-14

4. (3x+4)(2x+2)

6x^2+6x+8x+8 = 6x^2 +14x + 8

6 0
2 years ago
Other questions:
  • The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
    8·1 answer
  • Which line shows the first error in the solution?
    5·1 answer
  • Write a 3-digit number using digits 2, 9, 4
    9·2 answers
  • Hi! can you please help me and show me how you got your answer? thank you!
    7·1 answer
  • A race car can go around the track 48 times in 8 minutes how many times can the race car go around per minute
    14·1 answer
  • Use a compatible numbers to estimate the quotient for 469.4 divided by 62
    15·1 answer
  • What is green and makes holes
    15·1 answer
  • Please help! Geometry is confusing
    11·1 answer
  • The function f(x) = 2 and g(x) = f(x + k). Ifk = -5, what can be concluded about the graph of
    9·1 answer
  • Five times a number that has been decreased by 2 is equal to 55
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!