Answer:
(a) PT = 13 cm
(b) <PTR =
Step-by-step explanation:
(a) Applying the Pythagoras theorem to QST, we have;
= +
= +
= 36 + 64
100
QS =
= 10
QS = 10 cm
Since QS = TR, then;
WT = TR
= x 10
WT = 5 cm
Thus, applying Pathagoras theorem to PWT;
= +
= +
= 144 + 25
= 169
PT =
= 13
PT = 13 cm
(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;
Cos θ =
Cos θ =
= 0.7692
θ = 0.7692
= 39.7179
θ =
Therefore, <PTR =
Answer:
5+2n=7
Step-by-step explanation:
5+2n=7
7-5=2n
2=2n
2÷2=1
n=1
Answer:
y=3x+1
Step-by-step explanation:
A parallel line has the same slope as the other line.
y=mx+b, m is the slope
Thus in y=3x+1, m =3
y = 3x + b
plug in points (1, 4) to determine b
4 = 3(1) + b
4 = 3 + b
subtract 3 on both sides
4 - 3 = b
b = 1
y = 3x + 1
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Answer:
greater than or equal to 120
Step-by-step explanation:
4+11=15
x is over 15
8*15=120
therefore x must be greater than or equal to 120