Answer:
(a) <AED=50°
(b) <DAB=65°
(c) <BCD=45°
(d) Reflex <ABC=225°
Step-by-step explanation:
(a) 180-65-65=50
(b) 180-115=65 (ADC is 115)
(c) 180-135-45
(d) Reflex <ABC 360-135=225
Answer:
The slope of the line that is parallel to the given line is 
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m =
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line = 
∴ The slope of the line = 
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is 
Answer:
Step-by-step explanation:
The object shown above consists of 5 cubes having side lengths of ⅖m each.
Volume of a cube = 
Where, a = side length = ⅖ m
Volume of the object =
Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction

So the area of 1st rectangle is

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction


So the area of 2nd rectangle is

The total construction paper needed for this project is

Therefore, Dennis need 288.91 square inches of construction paper for his project.
Answer:
The answer is 6
Step-by-step explanation:
Same as plane surfaces on a regular cuboid