Answer:
=> x° + 57° + (43°+24°) = 180° ------------ (angle sum property of ∆)
=> x° + 57° + 67° = 180°
=> x° + 124° = 180°
=> x° = 180° — 124°
<h2>
=> x° = 56°</h2>
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=> x° + y° + 43° = 180° ------------- (angle sum property of ∆)
=> 56° + y° + 43° = 180°
=> y° + 99° = 180°
=> y° = 180° — 99°
<h2>
=> y° = 81°</h2>
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=> y° + z° = 180° ------------- (Linear pair)
=> 81° + z° = 180°
=> z° = 180° — 81°
<h2>
=> z° = 99°</h2>
Step-by-step explanation:
so,
<h2>x° = 56°</h2><h2>y° = 81°</h2><h2>z° = 99°</h2>
Y=my+b
which is 2=5(3)+b
2=15+b
-13=b
Answer:
R = 112, S = 64, T = 58, U = 126
Step-by-step explanation:
Quadrilateral ABCD is reflected to create quadrilateral RSTU
The angles are all the same
Since a quadrilateral equals up to 360
112+64+58=234
360-234=126
Occurring near the end of the American civil war
Answer:
Volume of water = 1800π ≈ 5655m³
Step-by-step explanation:
If we assume that "y" varies from north to south since height varies from south to north. We will obtain;
h(y) = ay + b
Thus,
At, h(-20) = 2 ; 2 = -20a + b ___ eq(1)
At, h(20) = 7; 7 = 20a + b ___ eq(2)
Add eq 2 to eq 1;
7 + 2 = 20a - 20a + b + b
9 = 2b; b = 9/2
Plug in 9/2 for b in eq 2;
7 = 20a + 9/2
Multiply through by 2;
14 = 40a + 9
40a = 14 - 9; a = 5/40 = 1/8
Thus, h(y) = (1/8)a + (9/2)b
The rest of the process involves double integral, so i have attached it for clarity.