3 years ago

the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer:The length of the third side 2.5.

Step-by-step explanation:

We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.

4b + 3b+15 +b =12b + 5

Solve for b.

8b +15=12b +5

-8b -8b

15+4b +5

-5 -5

4b/4=10/4

B=2.5

So the length of the third side is 2.5

4(2.5) + 3(2.5)+15+2.5=12(2.5)+5

35=35

You might be interested in

Please help me really quick pleasee answer choices: a)2 b)11 c)20 d)29

mihalych1998 [28]

Answer:

C. $x=20^{\circ}$

Step-by-step explanation:

Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so

$m\angle 6=45^{\circ}$

Angle 6 and angle with measure $5x+35^{\circ}$ are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then

$m\angle 6+5x+35^{\circ}=180^{\circ}\\ \\45^{\circ}+5x+35^{\circ}=180^{\circ}\\ \\5x=180^{\circ}-45^{\circ}-35^{\circ}\\ \\5x=100^{\circ}\\ \\x=20^{\circ}$