Here, as triangles are equal, their ratio would be equal.
8/x+4 = 12 /2x+1
8(2x+1) = 12(x+4)
16x+8 = 12x + 48
16x-12x = 48 - 8
4x = 40
x = 10
Hope this helps!
Answer:
5
Step-by-step explanation:
first subtract 2 from 10 (10 - 2 = 8)
8 - 2.40 (the first mile) = 5.6
5.6 divided by 1.40 (every additional mile) = 5
Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.
Given:
The quadratic equation is
To find:
The x-intercepts of the given equation.
Solution:
We have,
Splitting the middle term, we get
For x-intercepts, y=0.
Using zero product property, we get
So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.
Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E
