Answer:
80 units
Step-by-step explanation:
v = 1/3 bh
v₁ = 1/3 * b * h₁ = 344
v₂ = 1/3 * b * h₂ = 301
v₁ / v₂ = h₁ / h₂ = 344 / 301
h₂ = h₁ - 10
h₁ / (h₁ - 10) = 344 / 301
344 * (h₁ - 10) = 301 * h₁
344* h₁ - 3440 = 301 * h₁
43 * h₁ = 3440
h₁ = 80
Answer:
q ≥ 3
Step-by-step explanation:
add 1 to both sides and there you have your answer!
2 ≤ q-1
+1 +1
3 ≤ q
or
q ≥ 3
Answer:
2x-7
Step-by-step explanation:
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.