Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
Answer:
X=-1
Step-by-step explanation:first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
The 2 angles add up to 90 degrees so
x + y = 90, also:-
x - y = 72 (given)
adding the 2 equations:-
2x = 162
x = 81
and therefore
y + 81 = 90
y = 9
Answer the 2 angles are 81 and 9 degrees
We have the formula A = (h x b) / 2, where A is the area of the triangle, h is the height of the triangle, b is the base of the triangle;
So, 32 =(8 x b) / 2;
Then, 64 = 8 x b;
b = 64 ÷ 8;
b = 8 inches;
Answer:
t ≤ 15
Step-by-step explanation:
One third of 15 is equal to five (1/3 × 15 = 5)
One third of t is lesser than or equal to five (1/3 × 5 ≤ 5)
<em>So, t cannot be more than 15.</em><em> </em><em>It</em><em> </em><em>can</em><em> </em><em>be</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>1</em><em>5</em><em>,</em><em> </em><em>though</em><em>.</em>
∴t ≤ 15