B is the midpoint of ac. bc = 3x - 1. ac = x + 3. find the value of ab

Mathematics

1 answer:

Ilia_Sergeevich [38]1 year ago

8 0

Answer:

ab=bc because b devide ac in two equal sizes

ac=ab+bc

ac=2×ab

ac =2×bc

lets substitute ac and bc there we are given

x+3=2(3x-1)

x+3=6x-2

-5x/-5=-5/-5

x=1

ab=3(1)-1

ab=2

You might be interested in

Find the surface area of each triangular prism

Helen [10]

If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)

Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.

Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.

A = 5*12 +4*(5 +12 +13) = 160 . . . square inches

3 0

2 years ago

Find the value of x .

ohaa [14]

Answer:

$x=18$

Step-by-step explanation:

$(4x-11)\\(2x+25)$

According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."

This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

$4x-11=2x+25$