Answer:
( z - 5 ) ( z - 5 )
Step-by-step explanation:
z² − 10z + 25
= z² − 5z - 5z + 25
= z ( z - 5 ) - 5 ( z - 5 )
= ( z - 5 ) ( z - 5 )
Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
Answer:
The price of ribbon is $0.63 per meter.
Step-by-step explanation:
It is given that:
Cost of 3 meter ribbon = $1.89
Unit price per meter = 
Unit price per meter = $0.63 per meter
Therefore,
The price of ribbon is $0.63 per meter.
Answer:
The coordinates of the mid-point are :
Step-by-step explanation:
We know that, the coordinates of the mid-point (<em>x</em>, <em>y</em>) of a line segment joining the points (<em>x</em>₁, <em>y</em>₁) and (<em>x</em>₂, <em>y</em>₂) is given by
Now, we have the given points as (3, 5) and (-2, 0).
By using the above formula, coordinates of the mid-point (<em>x</em>, <em>y</em>) of the line-segment joining the points (3, 5) and (-2, 0) is given by,
∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is .
Answer:
$32.03
Step-by-step explanation:
Since there is a tax rate, you want to multiply $30.50 by 1.05 since you are adding tax to it and it is 5%. You should get 32.025 as the result, but since you need to round it, it is $32.03.
