Please only answer if your certain it will mean a lot I can give extra points or brain list if you like or a thanks please don’t
put anything Radom or a lie thank you
1 answer:
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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>
Answer:
<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>Step-by-step explanation:
They want to make as much money as possible.
Small bird house gives them $10 and large birdhouse give them $15.
Avery has time to decorate 12 birdhouse of either size.
Hence, to maximize the earning, Avery should build 12 large ones.
Sam can make any of the combination below in 24 hours.
4 Large and 1 small bird house, which will make
3 Large and 3 small bird house, which will make
2 Large and 4 small bird house, it will gain
1 Large and 6 small bird house, it will make
8 small bird house, which will gain
The profit will be maximize if Sam build 8 small bird houses.
Thus, they will make .