Y-1=-4(x-4) is the equation in point slope form.
Answer:
58 degrees
Step-by-step explanation:
Step 2 should have been 27(3) X 27(12)=27(3x12)=27(36). Or, alternatitively, she could have used 27(30)+27(6)=27(30+6)=27(36)=972
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Step One
Show that ΔADC ≡ ΔACB are similar Maybe ≡ this might mean congruent, I'm not sure. I want similarity.
A is common to both triangles.
<ADC = <ACB Both angles are right angles.
Conclusion
ΔADC is similar to ΔACB Angle Angle theorem which is enough to declare similarity.
Step Two
Find AB
Set up a proportion.
AD/AC = AC/AB corresponding parts of similar triangles bear the same ratio.
Substitute and solve for AB
2/5 = 5/AB Cross multiply
2AB = 25 Divide by 2
AB = 13/2
AB = 6.5
Step Three
Now you need the height of the triangle (CD)
That's just a^2 + b^2 = c^2
a = 2
c = 5
b = ???
2^2 + b^2 = 5^2
4 + b^2 = 25 Subtract 4 from both sides.
b^2 = 25 - 4
b^2 = 21
b = sqrt(21)
Step 4
Find the area.
A = 1/2 b*h
h = sqrt(21)
b = 6.5
Area = 1/2 6.5 * sqrt(21)
Area = 14.89
Answer:
5 is b and 6 is b
Step-by-step explanation:
5. The area of the trapezoid face is 80 and then multiply by 9 to get volume.
6. The area of the trapezoid face is 16.5 and then multiply by 13 to get volume.
Make sure you pick b for 6 and NOT d. The units are not correct for volume in d.