Answer:
Step-by-step explanation:
10²-7² (C squared minus B squared equals A squared) (basically Pythagorean theorem but reversed)
100-49= 51 (square the numbers and subtract)
There are 30 feet in 10 yards
Solution is (2.667,0) but x=2.667
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:
or
.
Step-by-step explanation:
We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is
.
The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.
According to Commutative Property of Addition
.
Similarly, we can write an equivalent expression to our given expression as:
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We can simplify our expression as:
.
Therefore, our required expression would be
or
.