Answer:
10
Step-by-step explanation:
Z ^2+11=111
Z ^2=100
Z=10
I draw the two triangles, see the picture attached.
As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.
Angles <span>ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by </span><span>two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.</span>
Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles. Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.
Answer:
ln [(x + 2)^3 ]/(x-1)
Step-by-step explanation:
3ln(x+2) - ln(x - 1) = ln (x + 2)^3 - ln (x-1)
ln (x + 2)^3 - ln (x-1) = ln [(x + 2)^3 ]/(x-1)
We need to find surface area, so we can imagine breaking it up into face net.
There will be 18 × 18 square base, four 18 × 40 rectangles, and four triangles with base 18 and height 13.
So the surface area would be sum of these areas.
That would be 18×18 + 4( 18 × 40 ) + 4( (1/2) 18×13 ) = <span>3672
Final answer: 3672 m</span>²
Hope this helps.
Answer:
1.375 or 1 and 3/8
Step-by-step explanation:
55 divided by 20 is 2.75. Then multiply 2.75 by 1/2