Answer:
-13x + 10.3y
Step-by-step explanation:
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.
_____
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.
Check the picture below.
ok, notice the volume of the smaller cube forming the larger cube. Keeping in mind that the larger cube has 90 of those small ones.
Answer:
KL = 23
KM = 29
Step-by-step explanation:
By applying cosine rule in the given triangle KLM,
cos(∠M) = 
cos(52°) = 
cos(52°) = 
KM = 
KM = 29.24
KM ≈ 29
By applying sine rule,
sin(52°) = 
sin(52°) = 
KL = 29.24[sin(52°)]
= 23.03
≈ 23
KL = 23
None of the answers are correct
(x+3)^2 + 10 first you factor out the (x+3)
(x+3)(x+3) + 10
x^2 + 6x + 9 +10 simplify
x^2 + 6x + 19
