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dedylja [7]
3 years ago
6

I serious help. a ton​

Mathematics
2 answers:
kap26 [50]3 years ago
8 0

Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

3x+6=7x-18

Subtract 6 from both sides:

3x+6-6=7x-18-6

3x=7x-24

Subtract 7x from both sides:

3x-7x=7x-24-7x

-4x=-24

Divide both sides by -4:

\frac{-4x}{-4}=\frac{-24}{-4}

x=6

Angle ABD=3x+6=3(6)+6=18+6=24

Angle CBD=7x-18=7(6)-18=42-18=24

Angle ABC=ABD+CBD=24+24=48

HACTEHA [7]3 years ago
6 0

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation:

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8090 [49]
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(4/3)(r^3)=2254
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ANEK [815]
1. 60,30,90 right triangle. y will be hypotenuse/2, x will be
hypotenuse*sqrt(3)/2. So x = 16*sqrt(3)/2 = 8*sqrt(3), approximately 13.85640646 
y = 16/2 = 8  
2. 45,45,90 right triangle (2 legs are equal length and you have a right angle).
X and Y will be the same length and that will be hypotenuse * sqrt(2)/2. So 
x = y = 8*sqrt(2) * sqrt(2)/2 = 8*2/2 = 8 
 3. Just a right triangle with both legs of known length. Use the Pythagorean theorem 
x = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13  
4. Another right triangle with 1 leg and the hypotenuse known. Pythagorean theorem again. 
y = sqrt(1000^2 - 600^2) = sqrt(1000000 - 360000) = sqrt(640000) = 800  5. A 45,45,90 right triangle. One leg known. The other leg will have the same length as the known leg and the hypotenuse can be discovered with the Pythagorean theorem.  x = 6. y = sqrt(6^2 + 6^2) = sqrt(36+36) = sqrt(72) = sqrt(2 * 36) = 6*sqrt(2), approximately 8.485281374  
6. Another 45,45,90 triangle with the hypotenuse known. Both unknown legs will have the same length. And Pythagorean theorem will be helpful. 
x = y. 
12^2 = x^2 + y^2 
12^2 = x^2 + x^2 
12^2 = 2x^2 
144 = 2x^2 
72 = x^2 
sqrt(72) = x 
6*sqrt(2) = x 
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7. A 30,60,90 right triangle with the short leg known. The hypotenuse will be twice the length of the short leg and the remaining leg can be determined using the Pythagorean theorem. 
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8. A 30,60,90 right triangle with long leg known. Can either have fact that in that triangle, the legs have the ratio of 1:sqrt(3):2, or you can use the Pythagorean theorem. In this case, I'll use the 1:2 ratio between the unknown leg and the hypotenuse along with the Pythagorean theorem. 
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y^2 = (2y)^2 - (22.5*sqrt(3))^2 
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y = 22.5
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Aneli [31]

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3 years ago
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