Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). 
6). Definition of two similar triangles
Hence proved.
Answer:
27
Step-by-step explanation:
If the ratio is 1:3 multiply that by 9:9 so you effectively get 9:9x3 = 9:27. Or, you can say to yourself if B (3) is 3 times greater than A (1) then B is 3 times greater than 9. So 9x3 = 27
Answer:
4
Step-by-step explanation:
It's easy because 4-4=0 and anything divided by zero is zero.
Answer:
1018.
Step-by-step explanation:
The multiplying factor here is 1 +0.09 = 1.09. Every year the current population figure is multiplied by 1.09. We have 10 years of growth so:
P(2010) = 430(1.09)^10
= 1018.
Answer:
-36 • (22u + 1)
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
