The sum means adding, so your answer is f + 6
For this, we use the FOIL method of expanding brackets; start by multiplying the FIRST terms of each bracket together to get xx=x^2. Next multiply the OUTSIDE elements, ie the first element in the first bracket and the last in the second, giving x(-5)=-5x. Then comes the INSIDE elements, giving 4x=4x, and finaly the LAST elements of each bracket, giving 4(-5)=-20. Adding all these terms together gives us our answer; x^2+4x-5x-20, which can be simplified to x^2-x-20.
Hope this helps!
Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = 
x = 
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = 
= 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
Answer:
The numbers i and V3 are elements of the set.
Step-by-step explanation:
The rational numbers are those which can be written as fractions. These are the numbers which can be repeating elements and terminating decimals. All integers can be set of rational numbers. The statements which is not true is statement which states that numbers i and V3 are elements of the set.
Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
