Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.
Answer:
=
−
7
/1
1 in fraction form
Step-by-step explanation:
STEP 1: Multiply by 1
1
+
1
0
+
2
5
=
1
8
+
1
0
+
2
5
=
1
8 STEP 2: Combine like terms
+
1
0
+
2
5
=
1
8
1
1
+
2
5
=
1
8 STEP 3: Subtract 2
5 from both sides of the equation
11x+25=18
1
1
+
2
5
−
2
5
=
1
8
−
2
5
STEP 4: Simplify by subtracting the numbers
1
1
+
2
5
−
2
5
=
1
8
−
2
5
11x+25−25=18−25
1
1
=
1
8
−
2
5 1
1
= -7
STEP 5: Divide both sides of the equation by the same term 1
1
=
−
7 11x/
11x = −7/
1
1 (set up as a fraction) STEP 6: Cancel terms that are in both the numerator and denominator
= −
7
/1
1 SOLUTION
= −
7
/1
1
Answer:
(3,25) is the vertex
Step-by-step explanation:
f(x)=-(x-3)^2+25
This equation is written in the form
y = a(x-h)^2 +k
Where (h,k) is the vertex of the parabola
(3,25) is the vertex
Answer:
D
Step-by-step explanation:
The boxes with whole numbers in them written as coordinates:
(-4, -11)
(8, -8)
we know gradient is rise over run, or (y2 - y1) / (x2 - x1)
gradient = (-8 - -11) / (8 - -4)
gradient = 3 / 12
gradient = ¼
The total number of chocolates is 15 + 16 + 19 = 50
There are 15 + 16 = 31 [dark chocolates + caramel chocolates]
The probability of picking one of them is 31 / 50.
