Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Answer:
A1=59
A2=85
A3=49
A4=no.because strait lines add up to 180 and it does not
B1=x=133andy=133
B2=53,61,and 56
B3=x=37andy= 37
B4=x=54and y=68
C1=y= 43and x=51
Answer:
see explanation
Step-by-step explanation:
The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.
Δ FUN
largest angle is ∠ FUN ( opposite FN )
smallest angle is ∠ NFU ( opposite NU )
Δ GEO
largest angle is ∠ GEO ( opposite GO )
smallest angle is ∠ GOE ( opposite GE )
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The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°
Δ TRY is therefore isosceles with 2 congruent legs RT, RY
longest side is TY ( opposite 70° )
shortest sides are RT , RY ( opposite 55° )
Answer:
397/20
Step-by-step explanation:
i think?
if im wrong im sorry
