Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>
There is 24 avocados in each crate
Divide 8640 and 360 to get 24
Hope this will help you!
Given:
The equation is:

To find:
The value of a.
Solution:
We have,

On simplification, we get




On comparing both sides, we get




And,




Therefore, the value of a is 2.
Consider all parabolas:
1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.
2.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.
3.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.
4.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.
5.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.
6.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.
Answer:
x (blue circle thing) = 46
y (dna) = -63
z (molecules) = 52
Step-by-step explanation: