Select the sum of the series. ∑4k=1k2

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

sergejj [24]

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and congruent hypotenuses.

4 0

3 years ago

Read 2 more answers

a storage jug was 4/5 full of water when did get indicated 72 what was the full capacity of the storage jug

IRISSAK [1]

Answer:

90. ( was the full capacity of jug)

to solve this 

firstly let the full capacity of jug 

 

be. x

so, 

4/5*x = 72

x = 72*5/4

x = 90

hope it helps

6 0

3 years ago

The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol

Licemer1 [7]

9514 1404 393

Answer:

$562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

C'(x) = 0.56x -0.7 = 0

x = 0.7/0.56 = 1.25

The cost at that production point is ...

C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

Additional comment

This is different than the minimum cost per item. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0

2 years ago

2^x + 3^y = 9 2^x+1 - 3^y+1=8 find x and y

Taya2010 [7]

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

8 0

3 years ago

Someone help with this

Fantom [35]

Step-by-step explanation:

6x2 - x + 3 - (-5x2 + 10x - 1)

6x2 - x + 3 + 5x2 - 10x + 1

Solving like terms

11x2 - 11x + 4

5 0

3 years ago