Answer:
The length of the line segment AC is equal to 14
Step-by-step explanation:
The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.
AB=2x and AC= 3x - 7
AB = AC
which implies;
2x = 3x - 7
subtract 3x from both-side of the equation
2x - 3x = 3x -3x -7
-x = -7
Multiply through by -1
x = 7
But we were ask to find the the length of the line segment AC
AC = 3x - 7
substituting x = 7 into the above equation will yield;
AC = 3(7) - 7 = 21 - 7 =14
Therefore the length of the line segment AC is equal to 14
The ways we can prove the triangles congruent:
SAS (side, angle, side)
ASA (angle, side, angle)
AAS (angle, angle, side)
SSS (all sides equal)
RHS/HL (Right Angle-Hypotenuse-Side/Hypotenuse-legs)
In these cases:
A. <B = <E
<A = <D
AC=DF
AAS (angle, angle, side) could be used.
B. AB=ED
BC=EF
AC=DF
SSS (all sides equal) could be used.
C.<BEA=<CED (right opposite angles)
As there is only one pair of equal angles we can find,there is not enough information.
D.<B = <E
BC=CE
<ECD < ACE(right opposite angles)
ASA (angle, side, angle) could be used.
Hope it helps!
The student Government wants to make a profit of at least $3000 from a magazines sales. At least $3000 simply means the profit should be $3000 and above.
There profit is $1.25 per magazine(m) subscription sold.
Their expenses are as follows
advertisement in school = $100
advertisement in community = $150
let
m = number of magazine sold
profit = selling price - cost price
selling price
Cost price
Therefore,
135/3= 45
Equation: 45w=s
45(8)= 360
Jeremiah saved $360.
Hope this helps!
2/9 of H?... , um I think
