Answer: 
Step-by-step explanation:
<u>Given information</u>
∡ 1 = 90°
∡ 2 = 50°
∡ 3 = x°
Total Angle = 180° <em>(Triangle angle sum theorem)</em>
<u>Given formula</u>
∡ 1 + ∡ 2 + ∡ 3 = Total Angle
<u>Substitute values into the formula</u>
(90) + (50) + (x) = (180)
<u>Combine like terms</u>
140 + x = 180
<u>Subtract 140 on both sides</u>
140 + x - 140 = 180 - 140

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5 part marker and 1 part pencil 5+1=6 54/6=9 9 pencils 9 times 5 45 markers
Answer
-17
<u>Explanation</u>
y−5x−3 for x = 2 and y = -4
We solve this question by substituting the values of y and x.
y−5x−3 = -4 - 5(2) - 3
= -4 - 10 -3
= -14 - 3
= -17
The rate of change for the function on the table is; 15 grapes eaten per minute.
<h3>What is the rate of change of the function described by the table?</h3>
It follows from the complete question that the table given indicates that;
- after 1min, 15 grapes had been eaten,
- after the next minute, 30 grapes had eaten,
- after the 3rd minute, 45 grapes had already been eaten.
On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.
Read more on rate of change;
brainly.com/question/7220852
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Answer:
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
The graph of the line is figure d
Step-by-step explanation:
∵ y = 3x
∵ x = -1, 0, 1
→ Substitute the values of x in the equation to find the values of y
∴ y = 3(-1) = -3
∴ y = 3(0) = 0
∴ y = 3(1) = 3
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
∵ The form of the linear equation is y = m x + b, where
∵ y = 3x
→ Compare the equation with the form
∴ m = 3
∴ b = 0
→ That means the slope is positive, then the direction of the line must
be from left tp right and passes through the origin
∴ The graph of the line is figure d