Answer:
a. 125
b. 25/64
c. 0.25
d. 343
e. 49/4
f. 0.81
Step-by-step explanation:
multiply by the same number by the amount of times the power tells you
b. 5*5 = 25 8*8= 64
c. 5*5 = 25 0.5*0.5 = 0.25
d. 7*7*7 = 343
e. 7*7 = 49 2*2= 4
f. 9*9 = 81 0.9*0.9= 0.81
Answer:
a.
Step-by-step explanation:
<span>We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
</span><span>JP + PK = JK.
</span><span>Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.</span>
Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,
In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,
AB = EF + CI = 
Answer:
n = 132
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the triangle, thus
n = 90 + 42 = 132
