Answer:
y = -2/3x + 3
Step-by-step explanation:
Parallel lines have the same slope so we already know
y = -2/3x + b
Solve for b using the point given
-1=-2/3(6)+b
-1+4=b
b=3
y = -2/3x + 3
Answer: (c) 31 (d) 30 (e) 41 (f) 10
<u>Step-by-step explanation:</u>
NOTES about angles of a rhombus:
- diagonals are angle bisectors (cut the angle into 2 equal parts)
- diagonals are perpendicular to each other (90°)
- two adjacent triangles of a rhombus form an isosceles triangle
(c) Given: ∠CBD = 59°
Per rule 2 → ∠BEC = 90°
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠BEC + ∠BCE = 180°
59° + 90° + ∠BCE = 180°
149° + ∠BCE = 180°
∠BCE = 31°
(d) Given: ∠BCD = 120°
Per rule 3 → ∠CBD = ∠CDB
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠CDB + ∠BCD = 180°
2∠CBD + 120° = 180°
2∠CBD = 60°
∠CBD = 30°
(e) Given: ∠AED = 2x+8
Per rule 2 → ∠AED = 90°
2x+8 = 90
2x = 82
x = 41
(f) Given: ∠BCE = 3x + 3 and ∠ECD = 5x - 17
Per rule 1 → ∠BCE = ∠ECD
3x + 3 = 5x- 17
3 = 2x - 17
20 = 2x
10 = x
Answer: 20%
Step-by-step explanation:
There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.
3.2
Step-by-step explanation:
The Image attached below.
The given fraction is .
Step 1: Write the numerator inside.and denominator outside.
Step 2: If we multiply a number 5 by 3 we get 15. Write 3 in the quotient place.
Step 3: Now subtract 15 from 16, we get 1
Step 4: Place a decimal point after 3 and give one zero after 1, we get 10.
Step 5: Now multiply 5 by 2, we get 10.
Step 6: Subtract 10 from 10, the remainder is 0.
Step 7: The decimal is 3.2.
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