204 /6 = 34
29 +31 +33 + 35 +37 +39 = 207
4th number = 35
Answer:
yes it's similar triangle because it has same shape but size is not equal
A(t) = P(1+(r/n))^(nt)
A(3) = 500(1+0.04/1))^(1*3)
A(3) = 500(1.04)^3
A(3) = $562.43
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
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There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
So QRS equals to 158 degrees. Therefore, you need to do 8x+8+2x=158. This is so then you can find x. In order to find x, you'll need to combine the 2x and 8x(10x+2=158). Then subtract 2 from both sides(10x=156). Finally divide by 10(x=15.6). In order to find TRS, multiply 15.6 by 2 to get the angle measure. If you want to find QRT, plug 15.6 into the equation(multiply 8 and 15.6 and add 8=132.8)
