Answer:
Part A:
- angle ACB= 60° (ABC equilateral triangle.)
- Angle ECD=EDC= (180°-32°)/2= 148/2= 74° (sum of angles in a triangle is equal to 180, and triangle ECD is isosceles since it's given that CE=DE.
- x= 180°-(60°+74°)
= 180°-134°
= 46°
x= 46°
Part B:
120°
Answer:
Angle CBE
Step-by-step explanation:
They share the same degree. Or are the same angle in a different place with a different name.
Answer:
87.5%
Step-by-step explanation:
7/8x100=87.5
Answer:
D
Step-by-step explanation:
For this one, you want to solve it similarly to linear equations.
-13x+11<-24x by adding 24x to both sides becomes 11x<11.
From there, you divide by 11 to isolate x, leaving x<1.
Since the equation has a < symbol (not ≤), the dot is not filled in. X is less than 1, so the arrow goes to the left, making it D.
**This content involves solving and sketching linear inequalities, which you may wish to revise. I'm always happy to help!
My answer is: D. <span>(6,0,0)
Given:
</span><span> 7x +2y +3z =42
I assumed that the format in the given choices is (x,y,z). So, I substituted each number to its corresponding variable.
A. </span>(14,0,0) → 7(14) +2(0) +3(0) = 42 → 98 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
B. (7,0,0) </span>→ 7(7) +2(0) +3(0) = 42 → 49 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
C. (21,0,0) </span>→ 7(21) +2(0) +3(0) = 42 → 147 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
D. (6,0,0) </span>→ 7(6) +2(0) +3(0) = 42 → 42 + 0 + 0 = 42 CORRECT ANSWER.
<span>The ordered triples indicated where the plane cuts the x-axis for this equation is D. (6,0,0). </span>