For which pair of numbers is 7 the greatest common factor (GCF)?
1 answer:
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Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
or x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
=
= 
= 
=
so the answers for x are and 
which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
so the answers for x are
so it would be
(x-[-8+√102])(x+[8+√102])=0