Answer:
D. 20 ÷ 6 − 4
E. 1/6(20 − 24)
F. (20−24) ÷ 6
Step-by-step explanation:
6(x + 4) = 20
6(x) + 6(4) = 20
6x + 24 = 20
- 24 - 24
6x = -4
/6 /6
x = -4/6 or x = -2/3
D. 20 ÷ 6 − 4
20/6 - 4
20/6 - 24/6
-4/6 = -2/3
E. 1/6(20 − 24)
1/6(-4)
-4/6 = -2/3
F. (20 − 24) ÷ 6
- 4 / 6
-4/6 = -2/3
Hope this helps!
Answer:
40,143.4 square inches
Step-by-step explanation:
c= 226.08
r= 113.04
area = Pi *r^2
The answer is -25 i just took the test/quiz
The customer pays $85 because 10.15 multiplied by 8.375 equals 85.00625 or $85 hope that helps!
Given : In Right triangle ABC, AC=6 cm, BC=8 cm.Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5.
To find : Area (ΔMNC)
Solution: In Δ ABC, right angled at C,
AC= 6 cm, BC= 8 cm
Using pythagoras theorem
AB² =AC²+ BC²
=6²+8²
= 36 + 64
→AB² =100
→AB² =10²
→AB =10
Also, AM:MN:NB=1:2.5:1.5
Then AM, MN, NB are k, 2.5 k, 1.5 k.
→2.5 k + k+1.5 k= 10
→ 5 k =10
Dividing both sides by 2, we get
→ k =2
MN=2.5×2=5 cm, NB=1.5×2=3 cm, AM=2 cm
As Δ ACB and ΔMNC are similar by SAS.
So when triangles are similar , their sides are proportional and ratio of their areas is equal to square of their corresponding sides.
![\frac{Ar(ACB)}{Ar(MNC)}=[\frac{10}{5}]^{2}](https://tex.z-dn.net/?f=%5Cfrac%7BAr%28ACB%29%7D%7BAr%28MNC%29%7D%3D%5B%5Cfrac%7B10%7D%7B5%7D%5D%5E%7B2%7D)

But Area (ΔACB)=1/2×6×8= 24 cm²[ACB is a right angled triangle]

→ Area(ΔMNC)=24÷4
→Area(ΔMNC)=6 cm²