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
H(17) = 17
Do you need help with the other 2?
Answer:
a and b.
Step-by-step explanation:
I’ll explain by giving an example.
Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.
=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.
b) n+(n+1)+(n+2)= 3+4+5=12=> correct.
c)n+2n+3n=3+6+9=18=>incorrect.
d)3n=3*3=9=>incorrect.
Answer:
b
Step-by-step explanation:
count two up, and 5 to the right
Answer: ![\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Step-by-step explanation:
![\sqrt[4]{\frac{16}[81}} \sqrt[4]{\frac{x^{11}y^{8}}{x^{7}y^{6}}}\\\\=\frac{2}{3} \sqrt[4]{x^{4}y^{2}}\\\\=\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B16%7D%5B81%7D%7D%20%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%5E%7B11%7Dy%5E%7B8%7D%7D%7Bx%5E%7B7%7Dy%5E%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%5B4%5D%7Bx%5E%7B4%7Dy%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
