I need help With this I will mark you if your awnser is right
1 answer:
Answer:
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees.
In this triangle, the angles are A, B , and C. So,
- ∠A + ∠B + ∠C= 180°
∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.
- 60°+3x+x=180°
This is the equation we can use to find the value of x.
We also have like terms: 3x and x that can be combined.
- 60° + (3x+x)= 180°
- <u>60° + 4x=180° </u>
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We can use the equation to solve for x. We have to isolate the variable.
60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.
- 60°-60°+4x=180°-60°
- 4x= 180°-60°
- 4x=120°
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
- 4x/4= 120°/4
- x= 120°/4
- <u>x=30 </u>
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Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;
The plot of the above point is completed using MS Excel as shown in the attached diagram.
