Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
In geometry, there is a theorem that states: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs
Therefore, this problem has two secants, so m∠x= 1/2(141-25)
m∠x=1/2(116)
m∠x=58
Hope this helped :)
1 gallon container i guess.
if incorrect let me know pls.
1. b
2. a
3. c
hope that helped!
Answer:
The 5th term is 16
Step-by-step explanation:
Given data
a= 12
say we want to find the fifth term
n=5
d= 1
The expression for the nth term given as
an = a + (n – 1) × d
Substitute
an= 12+(5-1)1
an= 12+4
an= 16