The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
Substituting values, you get that the slope of this line is:
You can substitute the slope and the first point into the equation in Slope-Intercept form:
Solve for "b":
Therefore, the Equation of this line in Slope-Intercept form is:
The perimeter of a rectangle is expressed as:
P = perimeter
l = length
w = width
P = 2(l + w)
Plug in our values to the formula mentioned above
32 m = 2(l + 5).
Start by dividing each side by 2.
16 = l + 5.
Subtract 5 from each side.
11 = l.
The length of your town is 11 miles
Answer:
A and D. SSS theorem
B. ASA or AAS theorems
C. SAS theorem
E. AAS theorem
Step-by-step explanation:
SSS theorem states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AAS theorem states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
ASA theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Thus:
A. If each pair of corresponding sides is congruent, then two triangles are congruent by SSS theorem.
B. If two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent, then two triangles are congruent by ASA or AAS theorems.
C. If two pairs of corresponding sides and the angles included between them are congruent, then two triangles are congruent by SAS theorem.
D. If three sides of one triangle are congruent to three sides of a second triangle, then two triangles are congruent by SSS theorem.
E. If two angles and a non-included sides of each triangle are congruent, then two triangles are congruent by AAS theorem.
