For triangle abc, ab = 7, bc = 7, and m angleabc = 45°. for triangle def, de = 7, ef = 7, and m angle def = 45°.

do the measurements indicate that triangle abc is congruent to angle def by the sas theorem?

a yes, two sets of corresponding sides, and the set of included angles are congruent.
b yes, because both triangles are isosceles triangles.

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

can you put the picture up?

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!