Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
Answer:
452.4 cm^2
Step-by-step explanation:
Use the area formula A = πr². With d = 24 cm, r = 12 cm, and so the desired area is
A = π(144 cm^2) = 452.4 cm^2
Answer:
the answer is commutative property
Step-by-step explanation:
commutative property is when both constants or variables don't change value when you move them from one side of the equal sign to another such as "a+b = b+a" or " a=b; b=a" both examples do not change value
Answer:
6 and 7
Step-by-step explanation:
we know that 42 will lie between 36 and 49
And 36=6; 49=7
so we can be sure that 42 lies between 6 and 7
Cos(38°) = x/44 ⇒ x = 44 * cos(38°) ≈ 34.7 units
