Answer:
Length of the garden = 10 ft
Step-by-step explanation:
Perimeter of a garden = 2(length + width)
Perimeter of the garden = 32 ft
Width of the garden = 6 ft
Length of the garden = x ft
Perimeter of a garden = 2(length + width)
32 = 2 ( x + 6 )
Open parenthesis
32 = 2x + 12
Subtract 12 from both sides
32 - 12 = 2x + 12 - 12
20 = 2x
Divide both sides by 2
20 / 2 = 2x / 2
10 = x
x = 10 ft
Therefore, length of the garden = x = 10 ft
Answer:
See below.
Step-by-step explanation:
By definition the median of the triangle bisects the base of the isosceles triangle.
We need to prove that the 2 triangles formed by the median are congruent.
If the 2 triangles are ABD and ACD where BD is the median and < ABC is the angle from which BD is drawn.
BD = BD ( the common side)
AD = DC ( because BD is the median).
AB = AC ( because ABC is an isosceles triangle).
So Triangles ABD and ACD are congruent by SSS.
Therefore m < ABD = m < CBD, so BD is the bisector of < ABC.
To prove BD is also the altitude:
Triangles ABD and CBD are congruent as we have just proven. Therefore the
of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.
Therefore angles ABD and CBD are both right angles and BD is the altitude of triangle ABC.
Answer:
T´(z)=n^2s/4*i
Step-by-step explanation:
T(z)=d/dz(sin^2*z/4)
T´(z)=d/dz(sn^2zi/4)
T´(z)=d/dz(sn^2z/4*i)
T´(z)i*d/dz(sn^2z/4)
T´(z)=n^2s/4*i
Simplify
By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope.
By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
Answer:
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
He then ate 16 more jelly beans
This was equal to 37 jelly beans
This is the equation
Now solve for x
Subtract 16 from both sides
Multiply both sides by 3
63 Jelly Beans
