Answer: 36 intersections
Step-by-step explanation:
Answer:
∠ WZX = 50°
XW is not an altitude.
Step-by-step explanation:
16. See the attached figure.
XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ
Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13
Hence, ∠ YXZ = 2 ∠ WXY
⇒ 8x + 34 = 2(10x - 13)
⇒ 8x + 34 = 20x - 26
⇒ 12x = 60
⇒ x = 5.
Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)
Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°
Hence, from Δ WXZ,
∠ WZX + ∠ WXZ + ∠ XWZ = 180°
⇒ 50° + 37° + ∠ XWZ = 180°
⇒ ∠ XWZ = 93° ≠ 90°
Hence, XW is not an altitude. (Answer)
Answer:
Part A)
1) 
2)
Part B)
1) 
2)
Step-by-step explanation:
Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
step 1
<u>Find the value of k</u>
x=50 when y=5
substitute the values
------>
-----> 
The equation is equal to
or 
step 2
<u>Find y when x=10</u>
substitute the value of x in the equation and solve for y
Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or 
step 1
<u>Find the value of k</u>
x=6 when y=42
substitute the values
------>
----->
The equation is equal to
or
step 2
<u>Find y when x=12</u>
substitute the value of x in the equation and solve for y
Answer:
250 berries
Step-by-step explanation:
There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:
10 x 25 = 250
There are 250 berries.
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