Answer:

Step-by-step explanation:
we know that
The surface area is equal to the area of all the faces of the triangular prism

simplify


The questions given in the pdf are these pictures, then we can get the solutions.
<u>1) Solution</u>
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
<u>2) Solution</u>
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
<u>3) Solution</u>
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
<u>4) Solution</u>
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
Answer: b.
Step-by-step explanation: I have the answer sheet
The median is the value that is in the middle of a dataset.
The first step to find the median is to order the values from least to greatest:
7, 8, 11, 12, 13, 15.
Since the number of data is even, the median will be the average of the pair of values that is in the middle, in this case, 11 and 12:

The median of the data set is 11.5.
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.