Answer:
∠ R = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ R + ∠ S + ∠ T = 180° , substitute values
∠ R + 29° + 61° = 180°
∠ R + 90° = 180° ( subtract 90° from both sides )
∠ R = 90°
1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35
The answer is No.
Because the 0 in x oval is pointing to BOTH 1 and 3 in y oval.
And that must not happen in order to relation be a function.
The following conditions must be satisfied for relation to be a function:
1. condition: EVERY element in first oval has to be connected to some element in second oval.
2. condition: Elements in first oval MUST NOT have more than one connection with elements in second oval.
Answer:
Number 1, (-2, -2)
Step-by-step explanation:
