Answer:
x = 10, y = 20
Step-by-step explanation:
Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:
2x = 20
x = 10
Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:
80 = 4y
y = 20
Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that
YZ = 1/2(QS)
x + 2 = 1/2 * (3x - 8)
2(x + 2) = 3x - 8
By opening the parenthesis, we have
2x + 4 = 3x - 8
Collecting like terms, we have
3x - 2x = 4 + 8
x = 12
Option C is correct
Answer:
Therefore the width of the warehouse is 245 feet.
Step-by-step explanation:
Rounding to the nearest foot:
- If the digit of tenths place is between 1-4, then the unit digit remains same.
- If the digit of tenths place is between 5-9, then the unit digit increases by 1.
Given that,
A real estate purchases a 60,000 square foot warehouse.
The width of warehouse is exactly of its length.
Since the unit of 60,000 is square foot. So, it is area of the warehouse.
The area of a rectangular plot is = Length× width.
Since the width of warehouse is exactly of its length.
Then the length of the ware house = the width of the warehouse
∴ Length× width =60,000
⇒width× width =60,000
⇒ width² =60,000
⇒ width =245 feet.( nearest to feet)
Therefore the width of the warehouse is 245 feet.
I believe the answer is 2
