I believe that it is 84 if I did the calculations correctly
The blanks can be filled with definitions of property bisector, Substitution property of equality, and Distributive property, respectively.
<h3>What is an angle?</h3>
When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
The given blanks can be filled as,
- The first blank is needed to be filled with the definition of property bisector.
- The second blank will be filled by the Substitution property of equality.
- The third blank can be filled with the Distributive property.
Hence, the blanks can be filled with definitions of property bisector, Substitution property of equality, and Distributive property, respectively.
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You problem is you don't have any problem. You have a bunch of formulas for the perimeter and area of some shapes.
As for using the formulas, usually you're given all but one of the variables and you can solve for the remaining one.
Notice how the triangle result doesn't have area as a function of a, b and c. That's called Heron's formula and is usually not taught to secondary school students. I don't like to teach it either because Archimedes' Theorem is so much better:
The sides a,b,c and area S of a triangle satisfy
Answer:
Step-by-step explanation:
1)Yes
In ΔABC and ΔDCE,
AC =CE {GIVEN}
∠ACB = ∠ DCE (Veritcally opposite angles)
BC =CD {GIVEN}
ΔABC ≅ ΔDCE {Side Angle Side - SAS CONGRUENCE}
3) Yes
In ΔRST and ΔVUT,
∠RST = ∠VUT = 90°{GIVEN}
ST =TU {GIVEN}
∠RTS = ∠ VTU (Veritcally opposite angles)
ΔRST ≅ ΔVUT { Angle Side Angle - ASA CONGRUENCE}
4)Yes
In ΔDEF and ΔDHG,
ED = DH {GIVEN}
∠EDF = ∠ GDH (Veritcally opposite angles)
FD = DG {GIVEN}
ΔDEF ≅ ΔDHG {Side Angle Side - SAS CONGRUENCE}
2) NO
Answer:
9.36
Step-by-step explanation: