Answer:
Step-by-step explanation:
1) Expand
2) Simplify 6x - 36 - 5x + 35 to x - 1.
3) Cancle x on both sides.
4) Since −1 = 6 is false, there is no solution.
No Solution
Hence, this equation have no solution.
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
÷ 
= · 
= -27
2. Divide both sides by 2:
2(x - 9) = -27
(x - 9) = 
3. Add 9 to both sides:
x = 
(or 4.5 if you need it in decimal form)
hope this helps!
Answer:
B.
Step-by-step explanation:
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.
We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm
This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm
tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm
WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm
Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
Answer:
+10
Step-by-step explanation:
