1. 72 to 50 points
50/72 = 69%
100-69= 31% decrease
2. 14 to 40 books
14 / 40 = 35%
100-35= 65% increase
3. 10 plus 30% increase
10 * 0.3 = 13
Answer:
J
Step-by-step explanation:
<h2>multiply 185 by 12=2220</h2><h3>you now know you need to find blank=2220</h3><h3 />
- F = 12(100)+12(13)
- G = 12(1)+12(8)+12(5)
- H= 12(18)+12(5)
- J= 12(100)+12(80)+12(5)
12*10=120
12*100=1200
12*12=144
12*13=156
12*18=216
12*5=60
12*8=96
f=1200+156=1356
g=12+96+60=168
h=216+60=276
j=1200+960+60=2220
A) New branch in:
2nd stage=2
3rd stage=4
4th stage=8
which can be listed as 2,4,8,...
Here,
2nd term/1st term=4/2=2
3rd term/2nd term=8/4=2
Since common ratio is 2, the given sequence is geometric sequence.
b) The required function is,
B(n)=2^(n-1)
{just put n=1,2,3.. here to check if it gives accurate no of branches in each step or not}
where n is stage number
c)Using above function to calculate total no of branches growing out in the 8th stage,
B(8)=2^(8-1)=2^7=128
Answer:
See below.
Step-by-step explanation:
1. Look at the marks on the angles of both triangles.
Angles C and F have a single mark (that looks like an arc). They are congruent.
Angles A and D have a double mark (that look like arcs). They are congruent.
Angles B and E have a triple mark (that look like arcs). They are congruent.
Each pair of congruent angles is a pair of corresponding angles.
Corresponding angles:
<C and <F
<A and <D
<B and <E
For corresponding sides, we do this.
First, we write a statement of similarity.
Triangle ABC is similar to triangle DEF.
The statement of similarity must have the corresponding angles in the same order.
The order ABC and the order DEF matches corresponding angles.
The corresponding sides have the vertices of corresponding angles as their endpoints.
Corresponding sides:
AB and DE
BC and EF
AC and DF
2. For similar triangles, the ratios of the lengths of corresponding sides are equal.
The ratios of the lengths of corresponding sides are equal:
AB/DE = BC/EF = AC/DF
3.
<A is congruent to <D
<B is congruent to <E
<C is congruent to <F
