Answer:
80*
80*
75*
120*
Step-by-step explanation:
both angle 1 and 2 for the first image have the same value as the other angle of 80* because it is a set of parallel lines and one line going through it.
1 on the next set of images is 75* because is is an alternate exterior angle.
2 of the last set of images is 120* because it is same side interior angles.
-5=s/18
Pretend that s/18 is 1/18s
-5=1/18s
Multiply by 18/1 for both sides
-5(18/1)=1/18(18/1)s
Cross out 1 and 1, divide by 1 and then is one.
Cross out 18 and 18, divide by 18 and then is one.
s=-90
Answer: s=-90
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36
Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.
Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
Answer:
(X - 4)(x - 4)
Step-by-step explanation:
x2 - 8x + 16
What two numbers multiply to 16 and add to -8
-4 * -4 = 16
-4 +-4 = -8
(x-4) (x-4)
(x-4)^2
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740