Answer:
x = 2
y = 0
Step-by-step explanation:
We can solve using substitution, substitute y in the first equation with the second equation:
-(-6x + 12) + 3x = 6
Distribute the negative sign:
6x - 12 + 3x = 6
Combine like terms:
9x - 12 = 6
Isolate the variable and solve for x by adding 12 in both sides:
9x = 18
x = 2
Substitute 2 with x in any equation to find the value of y:
-y + 3(2) = 6
-y + 6 = 6
Subtract 6 in both sides to isolate the variable:
-y = 0
0/-1 = 0
y = 0
Our answer would be x = 2 and y = 0
Answer:
1) (c)∠ G = 34°
2) (a) x = 33°
3) (d) The perpendicular segments are JM, KL, PQ AND NR.
Step-by-step explanation:
Here in the given questions:
1) p II r
⇒ ∠ G = 34° (ALTERNATE EXTERIOR ANGLES)
Hence, the measure of ∠ G = 34°
2) In the given triangle:
The measure of exterior angle is always the sum of interior opposite angles.
⇒ Here, x + 72° = 105°
or, x = 105° - 72° = 33° , or x = 33°
3) The given plane in the cube is JKPN
The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.
Hence, the segments are JM, KL, PQ AND NR.
Answer:
108 in²
Step-by-step explanation:
Given that the legs of a right triangle are 12" and 18".
Be cause it is a right triangle (with 90 degrees between the legs), we can arbitrarily assign one of these to be the height and the other value automatically becomes the base.
Let 12" be height and 18" be base
area = 1/2 x height x base
= 1/2 x 12 x 18
= 108 in²
Answer:
B=9 (I'll solve right now, just so you get the answer)
Step-by-step explanation:
Expand right side by distributing
Use the FOIL method to simplify (first, outside, inside, last):
Simplify
Re-insert
Cancel out 
Move all terms to one side
Simplify
Factor out the common term 2
Answer:
Step-by-step explanation:
its true
