Answers:
- x = 4
- AB = 36
- BC = 36
- AC = 36
All three sides are 36 units long.
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Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
- AB = 8x+4 = 8*4+4 = 32+4 = 36
- BC = 11x-8 = 11*4-8 = 44-8 = 36
- AC = 9x = 9*4 = 36
We get the same value for the three side lengths, so this confirms we have the correct x value.
Answer:
A) 8 kilograms
Step-by-step explanation:
"kilo-" is a prefix meaning 1000. So, 8 kilo-grams = 8 thousand grams = 8,000 grams.
Let's solve your equation step-by-step.<span><span><span>2x</span>+<span>3<span>(<span>x−4</span>)</span></span></span>=<span>x−20</span></span>Step 1: Simplify both sides of the equation.<span><span><span>2x</span>+<span>3<span>(<span>x−4</span>)</span></span></span>=<span>x−20</span></span><span>Simplify: (Show steps)</span><span><span><span>5x</span>−12</span>=<span>x−20</span></span>Step 2: Subtract x from both sides.<span><span><span><span>5x</span>−12</span>−x</span>=<span><span>x−20</span>−x</span></span><span><span><span>4x</span>−12</span>=<span>−20</span></span>Step 3: Add 12 to both sides.<span><span><span><span>4x</span>−12</span>+12</span>=<span><span>−20</span>+12</span></span><span><span>4x</span>=<span>−8</span></span>Step 4: Divide both sides by 4.<span><span><span>4x/</span>4</span>=<span><span>−8/</span>4</span></span><span>x=<span>−2</span></span>Answer: x=−2
X-7/5 = -2
x- 7 = -10
x = -3
The number is -3
Answer:
29/30
Step-by-step explanation:
first, we must make sure they have the same denominator!
2/3 x 10/10 = 20/30
3/10 x 3/3 = 9/30
20/30 + 9/30 = 29/30