Hello,
In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.
The equation for point-slope form is: y-y1 = m (x-x1)
Let's plug in the points into the equation.
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).
After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.
Hope this helps! =)
Answer:
Value of x is 90°
Step-by-step explanation:
Why?Imagine it as a shape of circle.
Circle has a measurement total of 360°
Semi cirlcle(half of the circle) is equivalent to 180
Now,
The bottom semi circle has a 146°
The top has a 56°
You can simply compute it by subtracting them.
Answer:
The total cost of commodities = $61.82
Step-by-step explanation:
Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.
The tax rate in the shop = 9%.
We have to find the total price Sam has to pay.
The total cost of the shirt and the pair of shoes = 12.72 + 44 = $56.72
Now there is tax of 9%.
So the cost becomes 1.09 times the initial value.
Hence the final price = 56.72
= $61.82
The final price of shirt and shoes = $61.82
So the volume of a sphere is Volume of a sphere=(4/3) x (π) x (r^3)
The theorem that verifies that the two right angled triangles are similar is HA.
<h3>What are similar triangle?</h3>
Two triangles are said to be similar if the ratio of their corresponding sides and the corresponding angles are equal.
Analysis:
From the diagrams KL = OQ ( hypotenuse)
∠L is equal to ∠Q which are acute.
so the two triangles are similar in hypotenuse and acute angle which is the HA theorem.
In conclusion, the HA theorem verifies that the two triangles are similar.
Learn more about similar triangles: brainly.com/question/2644832
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