Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
2l+2w=30
l=2w
2(2w)+2w=30
4w+2w=30
6w=30
w=5
l=2(w)
l=2(5)
length=10 ft
Hope this helps! :)
The correct statement :
<u>CE=DF</u>
<u>Transitive Property of Equality </u>
<h3>Further explanation</h3>
Equality means having the same value.
Usually stated with the symbol "="
It says inequality if there are symbol forms like <,>, ≤ or ≥
There are several PROPERTIES OF EQUALITY
- Addition Property of Equality If a = b, then a + c = b + c.
- Subtraction Property of Equality If a = b, then a - c = b - c.
- Multiplication Property of Equality If a = b, then a x c = b x c.
- Division Property of Equality If a = b, then a / c = b / c.
Given, AB = CE and CD = DF
Prove: AB = DF
CD = EF
Addition Property of Equality (we add DE on both sides)
CD + DE = DE + EF ... equation 1
From the lines in the picture:
CE = CD + DE
DF = DE + EF
So from equation 1:
CE = DF .... equation 2
From Given AB = CE, then equation 2 becomes:
AB = DF ----> Proven
<h3>Learn more</h3>
Algebraic expressions
brainly.com/question/8395423
Keywords : Property of Equality, prove, line
#LearnWithBrainly
Answer:
700 clicks
Step-by-step explanation:
since 50-15=35 He only needs to earn 35 dollars to reach 50 and 35/0.05 is 700.