Answer:
n2-6n-16
Step-by-step explanation:
n(n+2)-8(n+2)
n2+2n-8n-16=
n2-6n-16
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Answer:
15
Step-by-step explanation:
First do, 30% + 45% = 75%. Then do, 100-75=25.
Lastly,
proportions:
x/60 = 25/100
So your answer is, 15.
Answer:
After 15 days they'll both have $10
Explanation:
100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)
![100-6x=160-10x\\](https://tex.z-dn.net/?f=100-6x%3D160-10x%5C%5C)
+10x on both sides
![100+4x=160](https://tex.z-dn.net/?f=100%2B4x%3D160)
-100 on both sides
![4x=60](https://tex.z-dn.net/?f=4x%3D60)
/4 on both sides
![x=15](https://tex.z-dn.net/?f=x%3D15)
Answer:
66 in.
Step-by-step explanation:
the rectangle has an area of 48in. because 4x11 = 48. The triangles have a base of 6 because 12 ÷ 2=6. the formula for area of a triangle is BxHx1/2 and the height is 3in so 6x3= 18 and 18x1/2=9 and there is two triangles and the other has the same area. Then you add up the area of everything so 48+9+9 = 66