Algebraically, that will be expressed as:
Answer:
- Scale factor = 1/2 and x = 18
Step-by-step explanation:
<u>Given:</u>
- ΔABC ~ ΔDEF
- AB = 36. BC = 30
- DE = x, EF = 15
- m∠B = m∠E = 72°
<u>Corresponding sides are:</u>
<u>Corresponding sides have same ratio:</u>
- AB/DE = BC/EF
- 36/x = 30/15
- x = 36/2
- x = 18
<u>The scale factor is:</u>

This equation is in slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
To find the slope of y = - 8 x - 3, we have to find what replaced m. -8 replaced m here, so -8 is the slope of this equation.

Answer:
A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Step-by-step explanation:
Answer:
<u>Temperature of the ice for ice-skating = -5 °C</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Temperature of the ice for an ice hockey match = - 7 °C
Temperature for ice- skating is 2 degrees warmer.
2. What is the temperature of the ice for ice-skating?
For the correct calculation, we use this formula:
Temperature for ice-skating = Temperature of the ice for a hockey match + 2
Temperature for ice-skating = -7 + 2
<u>Temperature of the ice for ice-skating = -5 °C</u>
We add 2 to the temperature of the ice for a hockey match because the temperature for ice-skating is described as warmer. If it were described as colder, we should subtract.