Distribute then multiply 6x to all the terms inside parenthesis remember order of operations starting from left to right when solving expressions so the when you distribute
is 30x3-6x2 the 3 and 2 after x represent x cubed and squared
Answer:
Δ MLP ~ Δ HKG
By S-A-S similarity Postulate.
Step-by-step explanation:
Given:
In Δ MLP
MP = 20 ,
LP = 15
∠ P = 42°
In Δ HKG
HG = 16 ,
KG = 12
∠G = 42°
To Prove:
Δ MLP ~Δ HKG
Proof:
In Δ MLP and Δ HKG
..........( 1 )
..............( 2 )
∴ 
...From 1 and 2
∠P ≅ ∠ G = 42° ...............Given
∴ Δ MLP ~Δ HKG ......{ By S-A-S similarity test}............Proved
Answer:
Yes they are.
Step-by-step explanation:
Because both equal 6/9 I think
Answer:
x = 38°
Step-by-step explanation:
in the given question,
the two angles are complementary, because sum of their measures = 90°
so,
=》52° + x = 90°
=》x = 90° - 52°
=》x = 38°
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
