Answer:
The interior of the triangle are congruent as they are equal in size at point at point l, k, m proof is the line of symmetry shows a 4 way rotation.
We know from how the line represents 2 triangles that equally make an equal sided square should we draw lines
For the g, h, i, j to show a 4 way rotation- should we draw 2 more triangles.
The second shape has congruent angles as the rotation is 2 and angles shown indicate the symmetrical value as midway point are the same also. So while all 3 sets of the second angles are congruent if we make a square shape 8/8 angles have the same degree as one another as there will be 4 triangles in shape 1 and shape 2.
Whilst the rotation is less, this is simply as the base is on the outside and sides are the same- creating a wider perimeter as it enlarges the shape. this may confuse but to prove again we can compare a rotation to equal curve triangles folded within a regular circle shape or just like the first example create 4 triangles and draw 2 lines of symmetry. just like folding a regular square. For full flip rotation within a shape we have found side length is not equal but angles must be 3 of the same for 2 way rotation within a larger shape and 3 equal angles with longer length for rotation within its first found square shape.
Step-by-step explanation:
Answer:
Both are congruent
Step-by-step explanation:
7. SSS congruence
KN=KM ........Side
KI=MI ........Side
LN is a common side
Thus by SSS congruence both triangles are congruent
8. ASA congruence
angles PRO=TRS ..........vertically opposite angles are equal
angles POR=RTS ..........given to be equal in the question
angle OPR=180-PRO-POR ...angle sum property of triangle
angle RST=180-RTS-TRS ......angle sum property of triangle
so OPR=RST as PRO=TRS and POR=RTS
line PO=TS .......given in question
so
OPR=RTS ...........angle
line PO=TS .........side
POR=RTS ...........angle
Thus by ASA congruence both triangles are congruent
B:A vertical line has a slope of zero.
C:A line that rises from left to right has a positive slope.
D:A line that falls from right to left has a negative slope.
The correct statement is B. A vertical line has a slope of zero.
The correct statement is option B: A vertical line has a slope of zero. A slope of zero means that there is no relationship between x and y. Graphically, the line is flat, with zero rise over the run. A vertical line goes straight up or down and has no change in the x-coordinate, resulting in a slope of zero.
For Example: Consider the equation x = 2. This represents a vertical line that passes through the point (2, y) for any value of y. Since the x-coordinate does not change, the slope is zero.
#SPJ2
Answer:
A line that rises from left to right has a positive slope
Step-by-step explanation:
Verify each statement
case A) A horizontal line has no slope
The statement is False
Because a horizontal line has a slope equal to zero
case B) A vertical line has a slope of zero
The statement is False
Because a vertical line has a undefined slope
case C) A line that rises from left to right has a positive slope
The statement is True
case D) A line that falls right to left has a negative slope
The statement is False
Because a is a positive slope
b) find the equation of the line which is parallel to β and passes through the point (6,9)
Answer:
a) 2/3
b)
Step-by-step explanation:
b) From my previous answer...
Since parallel lines have the same gradient,
the gradient of the line is 2/3 too.
Thus, m= 2/3.
y= 2/3x +c
Now substitute a coordinate into the equation to find c, the y-intercept.
When x=6, y=9,
9= (2/3)(6) +c
9= 4 +c
c= 9 -4
c= 5
Thus the equation of the line is y= 2/3x +5.
Answer:
$3.02
Step-by-step explanation:
M = movie rental
M = 3.99
V = video game
3M + V = 5V - 0.11
Get the integer on one side and the terms on the other
3M + V - 5V = -0.11
3M - 4V = -0.11
Substitute 3.99 for M
3(3.99) - 4V = -0.11
11.97 - 4V = -0.11
Get the integers on one side and the terms on the other
11.97 + 0.11 - 4V = 0
11.97 + 0.11 = 4V
12.08 = 4V
12.08/4 = V
V = 3.02
5 37/100
Rewrite the decimal number as a fraction with 1 in the denominator
5.37=5.37/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10 squared = 100
5.37/1 × 100/100=537/100
Simplify the improper fraction..
= 5 37/100
And there you have it.. 5 37/100
Answer:
(5, -3)
hope i helped bye