To get the distance DC we proceed as follows:
AB-CD
=11-3
=8
BC=15
hence using Pythagorean theorem
c²=a²+b²
c=DC
a=BC
b=8
thus
c²=15²+8²
c²=225+64
c²=289
thus
c=√289
c=17 units

Answer: B. 17 units

8 0

3 years ago

In how many ways can you distinguishable ways can you arrange the letters AAABB

anyanavicka [17]

Answer:

Step-by-step explanation:

5! divided by all the repeats so 3!2! = 10 ways

6 0

3 years ago

If m∠XWY = 20°, m∠XWZ = 40°, and XY = 16, what is the value of YZ?

Jobisdone [24]

YZ = 16. The triangles are congruent. This would be AAS so YZ = 16 because of CPCTC.

7 0

3 years ago

How do you graph y=-1.5<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align

lorasvet [3.4K]

$y=-1.5 x^{2} +6 \\ \\ x=-3 \Rightarrow y=-1.5*(-3)^2+6 =-1.5*9+6=-13.5+6=-7.5\\ \\x=-2 \Rightarrow y=-1.5*(-2)^2+6 =-1.5*4+6=-6+6=0\\ \\x=-1 \Rightarrow y=-1.5*(-1)^2+6 =-1.5*1+6=-1.5+6=-4.5\\ \\x=0 \Rightarrow y=-1.5*0^2+6 =6$

$x=1 \Rightarrow y=-1.5*(1)^2+6 =-1.5+6=-4.5\\ \\ x= 2 \Rightarrow y=-1.5*2^2+6 =-1.5*4+6=-6+6=0\\ \\x=3 \Rightarrow y=-1.5*3^2+6 =-1.5*9+6=-13.5+6=-7.5$

6 0

3 years ago