(THIS IS A TEST I NEED HELP)
1 answer:
Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
You might be interested in
By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.
Step-by-step explanation:
Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.
To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.
To convert °F, we have the formula (112°F − 32) × () + 273.15, so
110 °F = (110 - 32) × () + 273.15 = 316.483 K,
112 °F = (112 - 32) × () + 273.15 = 317.594 K.
Step 2; By rewriting all the values on the same unit, we get;
Sample A = 317.15 K,
Sample B = 320 K,
Sample C = 316.483 K,
Sample D = 310 K,
Sample E = 317.594.
The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.