Answer:
Step-by-step explanation:
Sweet. Get to answer finally. I was the guy commenting on your other post.
1. 72
2. 46
3. 99
4. Same side interior angles are supplementary
5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x
5x-7=3x+17
2x=24
x=12
plug it in for the 5x-7 and get an angle.. 5(12)-7
60-7
53.
The 5x-7 and the 4y+3 is supplementary.
so 53+3+4y=180. combine the 2 and set them equal to 180 to find y
56+4y=180
124=4y
y=31
And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles
so plug in your answer for y in the expression..
4(31)+3 = 127.
so angle 6 is 127
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Replace x with -1.
G(-1) = -5(-1) + 2
= 5 + 2
= 7
I hope this Helps!
Answer: Ck.12.org
Step-by-step explanation: Just read the book
<span>If two parallel planes are cut by a third plane, then the lines of intersection are parallel and cannot intersect one another.</span>
