Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations
you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
Answer:
Thank you
Step-by-step explanation:
Have a great day :D
The smallest possible value of m according to the task is; 1/1540.
<h3>What is the smallest possible value of m?</h3>
Since it follows from the task content that the product of 1540 and m is a square number and the smallest possible small number is; 1.
The equation which holds true is; 1540 × m = 1
Consequently, m = 1/1540.
Read more on square numbers;
brainly.com/question/123907
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The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.
A1 + A2 = 80π
Substitute the formula for the area,
π(r1)^2 + π (r2)^2 = 80π
From the statement, we know that r2=2(r1).
<span>π(r1)^2 + π (2 x r1)^2 = 80π
</span>We can cancel π, we will have
5 x (r1)^2 = 80
Thus,
r1 = 4 and r2 = 8
X=205
y=41
You come across these answers by making an equation or system of equations based on the word problem given. 1. x+y=246 and 2. x÷y=5 . The you would multiply by y on both sides and get x=5y . Then you would substitute for x in the first equation and get (5y)+y=246 . Then you would get 6y=246 . Them you would divide by 6 on both sides and get y=246÷6 . Then you would get y=41. Then you would plug the y value into the first equation. You would get that x+(41)= 246, subtract on both sides and get x=246-41, then you would get an answer of x=205.