Answer:
Step-by-step explanation:
59.69
ANSWER
Find out the customer was the first to get both items
To proof
As given
During a promotional event
sporting goods store gave every 14th customer a free shirt and a free bottle to every 18th customer.
Least common factor of ( 14 , 18 )
L.C.M (14,18) = 2 ×7 ×9
= 126
Also as shown in the table given below
in the table
the common value in the shirt and bottle is 126.
i.e 126 th the customer was the first to get both items.
Hence proved
Y = mx+b
m= 4
y= 4x+b
solve for b using (6,-1)
-1 = 4 (-1)+b
b=3
therefore equation is y=4x+3
same as (y+1)=4(x-6)
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
