One ticket cost $78 and the number 78 is the half of the number 156
The two-column proof that shows that ΔEAB ≅ ΔDCB by SAS congruence theorem is explained below.
<h3>What is the the SAS Congruence Theorem?</h3>
The Side-angle-side congruence theorem (SAS) that states that two triangles that are have two pairs of corresponding congruent sides and a pair of included corresponding congruent angles are congruent to each other.
<h3>What is an Isosceles Triangle?</h3>
Any triangle with two equal base angles is referred to as an isosceles triangle, The sides opposite these base angles are also congruent to each other.
Given the diagram below, the proof is expressed as follows:
Statement 1: ΔEAB and ΔDCB are two right triangles
Reason 1: Given
Statement 2: ∠EAB ≅ DCB
Reason 2: Right angles
Statement 3: ∠BED ≅ BDE
Reason 3: Given
Statement 4: ΔBED is an isosceles triangle
Reason 4: Definition of isosceles triangle
Statement 5: BE ≅ BD
Reason 5: Definition of isosceles triangle
Statement 6: ΔEAB ≅ ΔDCB
Reason 6: SAS
Learn more about the SAS congruence theorem on:
brainly.com/question/2102943
#SPJ1
Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile; 
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile; 
⇒ 
⇒ 
⇒ 5600 + 
= 560
⇒ 5600 - 560 = -
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
Answer:
235 cm^3
Step-by-step explanation:
I would start by "cutting" the shape into two parts; the top and the bottom
to find the area of these shapes you will need to use l*w*h
So substitute in the values
(5*5*4)+(9*3*5)=a
solve the parenthesis
100+135=a
add
235 cm^3
