Answer:
m<DEF = 47°
Step-by-step explanation:
Given:
m(DEF) = 266°
Required:
m<DEF
Solution:
m<DCF = ½(m(DEF)) (Inscribed angle theorem)
Substitute
m<DCF = ½(266°)
m<DCF = 133°
Opposite angles in an inscribed quadrilateral are supplementary.
Therefore,
m<DEF = 180° - m<DCF
m<DEF = 180° - 133°
m<DEF = 47°
If 150 chocolate chip cookies are 15% of the days production, then we may write it down as:
150 = 15% from x
150 = 15/100x
150 = 3/20x / * 20 (both sides)
3000 = 3x / ÷ 3 (both sides)
<u>x = 1000</u>
Answer: I planned producing 1000 cokies that day.
Answer:
The answer is 3.6 acres per day
Step-by-step explanation:
To find the unit rate divide the number of acres by number of days
∴ Unit rate = ÷
= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8
= 27/4 × 8/15 = 18/5 = 3.6 acres per day
Answer:
The scale factor is 4
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* In the problem
- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)
∵ -24 ÷ -6 = 4
∵ 16 ÷ 4 = 4
∴ The scale factor is 4
∵ 4 > 1
∴ The image of the triangle will be larger
* The scale factor is 4
Answer:
about 20.5 hours
Step-by-step explanation:
first find out how much money he earned during the week by subtracting the friday balance and the monday balance
375.75 - 83.50 = $292.25 was the amount earned during the week
divide the amount earned by the amount earned per hour
292.25 / 14.25 ≈ 20.5 hours worked that week
hope this helps <3