Answer:
Step-by-step explanation:
Tn = a + (n-1)d
a = 3 and d = 1.5×3 = 4.5
T2 = a + d = 3 + 4.5 = 7.5
T3 = a + 2d = 3 + 2(4.5) = 12
T4 = a + 3d = 3 + 3(4.5) = 16.5
Answer:
LM = 20
Step-by-step explanation:
Use the Sine rule to calculate the length of LM
We require to find ∠N using sum of angles in a triangle.
∠N = 180° - (53 + 44)° = 180° - 97° = 83°, then
= 
( cross- m ultiply )
LM × sin44° = LN × sin83°, that is
LM × sin44° = 14 × sin83° ( divide both sides by sin44° )
LM = 
= 20
Answer:
The two lines meet at (-1,1)
These tests are designed to better replacements for old versions of state tests because (as PARCC claims) they provide better information about students' skills and development to teachers and parents. In a nutshell, these examinations are meant to evaluate college and career readiness starting at a young age.
Answer:
x = 3 and y = 2
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of one triangle and the hypotenuse and a corresponding leg of the other triangle must be congruent, that is
x = y + 1 → (1) congruent legs
3y = x + 3 → (2) congruent hypotenuse
Substitute x = y + 1 into (2)
3y = y + 1 + 3, that is
3y = y + 4 ( subtract y from both sides )
2y = 4 ( divide both sides by 2 )
y = 2
Substitute y = 2 into (1)
x = 2 + 1 = 3
