Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.
Answer:
r = -1
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5
so plug in...
(4-7)/(4-r)=-3/5
then solve for r which will get that r = -1
numerator: 4-7=-3
denominator: 4-r=5 -> 4-5=0+r -> -1=r
Answer:
Function- a relationship or expression involving one or more variables.
A domain refers to the set of possible input values.
The range is the set of possible output values.
Step-by-step explanation:
