Answer:
6 units
Step-by-step explanation:
to calculate the distance d between the points use the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁)²
with (x₁, y₁ ) = (- 10, - 2) and (x₂, y₂ ) = (- 4, - 2)
d = 
= 
= 
= 6
Answer:
x = 34
Step-by-step explanation:
ΔABD and ΔBCD are both isosceles triangles
In ΔABD
AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )
∠ABD = 
= 
= 68°
∠DBC = 180° - 68° = 112° ( straight angle )
∠BCD = x = 
= 
= 34
Answer:
We can create a one-variable equation and solve for x.
we set 35.25+0.11x equal to 14.25+0.32x
35.25+0.11x=14.25+0.32x
then we just solve for x to get 100
Step-by-step explanation:
Answer:
4. obtuse
5. obtuse
6. acute
7. acute
8. obtuse
Step-by-step explanation:
4. This angle is greater than a right angle (because it extends farther than one), so this is obtuse.
5. This angle is greater than a right angle, so this is obtuse.
6. This angle is smaller than a right angle (because it extends less than one), so this is acute.
7. This angle is smaller than a right angle, so this is acute.
8. This angle is greater than a right angle, so this is obtuse.
Answer: 28 gallons of paint needed to paint 16 classrooms.
Step-by-step explanation:
As 7 gallons Paint 4 classrooms so if we need to paint 16 classrooms which four times 4 classrooms so 7*4=28 gallons will be needed to paint 16 classrooms
