Juan has<span> $</span>c<span>$ </span>cheesecakes<span>. </span>Clarence has 5 less than 3 times<span> as </span>many cheesecakes<span> as</span>Juan has<span> and </span>Darlene has 2 more than half<span> as </span>many cheesecakes<span> as </span>Clarence has<span>. </span>Find<span> an </span>expression<span>in </span>terms<span> of $</span>c<span>$ for the </span>total number<span> of </span>cheesecakes Juan<span>, </span>Clarence<span>, and </span>Darlene have<span>. Z K Y. The post below </span>
In a rectangle diagonals are equal.
2x-14=x+8
2x-x=8+14
x=22
so correct answer is option B, x=22
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
Answer:
(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°
Step-by-step explanation:
assuming side a/c is side BC/AB since it's opposite of angle A/C
(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA
=> cos (25°) = BC/AC or a/b
=> cos (25°) = a/25
=> a = cos (25°) × 25
=> a ≈ 22.7
(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA
=> sin (25°) = AB/AC or c/b
=> sin (25°) = c/25
=> c = sin (25°) × 25
=> c ≈ 10.6
(c) 180° - 25° - 90°(the right angle) = 65°
