The interior angles in a 4 sided polygon add up to 360°. You are already given two measurements of 90°, so you know that the lastvtwo angles sum to 360-90-90= 180°.
Put this information into an equation and solve for x:
(7x+27)°+(9x-7)°=180°
7x+27°+9x-7°=180°
16x+20°=180°
16x=160°
x=10°
Angle B is (7x+27)°, so just substitute x:
B = 7(10)+27
B = 70+27
B = 97°
Answer:
Step-by-step explanation:
To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:
n = 4
k = 3
Answer:
The answer to your question is:
Step-by-step explanation:
(u² - v³)⁶ = u¹² - 6(u²)⁵(v³) + 15(u²)⁴(v³)² - 20(u²)³(v³)³ + 15(u²)²(v³)⁴ - 6(u²)(v³)⁵ +
(v³)⁶
= u¹² - 6u¹⁰v³ + 15u⁸v⁶ - 20u⁶v⁹ + 15u⁴v¹² - 6u²v¹⁵ + v¹⁸
a.- Find the term that contains v⁶ = 15u⁸v⁶
b.- Find the term that contains u⁶ = - 20u⁶v⁹
c.- Find the fifth term = 15u⁴v¹²
The halves of the rhombus separated by line BD are equilateral triangles.
∠BAD = 60°
so
∠ADM is 0.80*60° = 48°.
∠BMD is an exterior angle to ΔAMD, so is equal to the sum
∠BMD = ∠BAD + ∠ADM
= 60° +48° = 108°
∠BMD = 108°
Answer:
-13
Step-by-step explanation:
-41 + -8 + 36
-49 + 36
-13
