Answer:
3 hours
Step-by-step explanation:
Rodriguez did 1/3 of the job, so the remaining 2/3 of the job will take the assistant 2/3 of the usual time:
(2/3)(4 1/2) = 3 . . . hours
The assistant can complete the job in 3 hours.
Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following
perimeter and area of the trapezium.
<h3>How can the area and perimeter of the trapezium be found?</h3>
The perimeter of a trapezoid is given as follows;
Perimeter = The sum of the lengths of the sides
Which gives;
Perimeter = 6 + 7 + 6.5 + 9.5 = 29
The perimeter of the trapezoid =<u> 29 cm</u>
The area of the trapezoid is given as follows;

Which gives;

The area of the trapezoid = 49.5 cm²
Learn more about the area and perimeter of geometric shapes here:
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Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is

we have
the vertex is the point (5,-4)
substitute

The y-intercept is the point (0,96)
substitute and solve for a



The equation of the vertical parabola is equal to

Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0

Simplify

Rewrite

square root both sides




therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
Step-by-step explanation: