Answer:
Sugar:
Honey:
Sugar substitute:
Step-by-step explanation:
35 + 14 + 21 = 70
35 out of 70 = 50%
14 out of 70 = 20%
21 out of 70 = 30%
Hope this helps!
Answer:
Norma spent $30
Jane spent $22
Reflection: in the line y=−1
The image of triangle △RST after the glide reflection, which involves a translation of (x, y) → (x - 3, y) followed by a reflection in the line y = -1, is △R'S'T' with vertices R'(1, -2), S'(4, -5), and T'(3, -6).
To graph triangle △RST with vertices R(4, 1), S(7, 3), and T(6, 4), and its image after the glide reflection, we'll follow these steps:
Start by plotting the original triangle △RST using the given vertices:
R(4, 1)
S(7, 3)
T(6, 4)
Now, let's apply the translation to every vertex of the triangle.
The translation (x, y) → (x - 3, y) shifts each point 3 units to the left (in the negative x-direction).
Apply this translation to each vertex:
R' = (4 - 3, 1) = (1, 1)
S' = (7 - 3, 3) = (4, 3)
T' = (6 - 3, 4) = (3, 4)
Next, we'll apply the reflection in the line y = -1 to the translated vertices. The reflection in this line flips each point across the line.
To do this, we'll calculate the distance between each point and the line y = -1 and then move the same distance in the opposite direction.
R'' is reflected across the line y = -1 to (1, -2).
S'' is reflected across the line y = -1 to (4, -5).
T'' is reflected across the line y = -1 to (3, -6).
Now, we have the vertices of the image triangle △R'S'T'.
You can plot these points on the same graph as the original triangle to visualize the glide reflection transformation.
For similar question on image of triangle.
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Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Answer:
I think it is greater than
Answer:
Step-by-step explanation: Right Angle - 4 times around. Around the angle ( 90 ) You would need 90 angles or 4 to make 360.
Measurement of Angle LOK = 82 degrees.
Solve for x.
Answer:
x = 14
Step-by-step explanation:
<LOJ = 3x
<KOJ = (2x + 12)°
<LOK = 82°
m<LOJ + m<KOJ = m<LOK (angle addition postulate)
3x + 2x + 12 = 82 (substitution)
5x + 12 = 82
5x = 82 - 12 (Subtraction property of equality)
5x = 70
x = 70/5 (division property of equality)
x = 14
Answer:
52.5°
Step-by-step explanation:
Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.
To Find : The measure of ∠WXZ is ?
Solution:
∠WXY = 105°
The ray XZ is the angle bisector of ∠WXY
This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY
So, ∠WXY = ∠WXZ + ∠ZXY
∠WXY = 2∠WXZ
Hence The measure of ∠WXZ is 52.5°
∠WXZ = 52.5°
∠WXY = 105°
and ∠WXY = ∠WXZ + ∠ZXY
∠WXZ = = 52.5°