Answer:
acute
Step-by-step explanation:
1. It cannot be right angle as the sides does not satisfy pythagoras theorem.
2. It cannot be obtuse angle as it does not satisfy the rule:
- the length of one side of a triangle must be greater than the differnce and less than the sum of the lengths of the other two sides.
4-3 =1 <6 4+3=7>6
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,
m₁ + m₂ + m₃ = 180
Given the measures of the first two angles, the measure of the third angle is calculated through the equation,
m₃ = 180 - (m₁ + m₂)
Substituting the known expressions,
m₃ = 180 - (-3x⁵ + 2x²)
Simplifying,
<em> m₃ = 180 + 3x⁵ - 2x²</em>
Answer:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula

Given that Josie drove 45 minutes at 70 miles per hour.

In 45 minutes, she traveled = 
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.

In 15 minutes, she traveled 
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.
Answer:
y =
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - 2y = - 6 into this form
Subtract 3x from both sides
- 2y = - 3x - 6 ( divide all terms by - 2 )
y =
x + 3 ← in slope- intercept form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← partial equation of parallel line
To find c substitute (4, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line