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natita [175]
2 years ago
11

2-3. The triangles below are drawn to scale and congruent sides and angles are indicated with tick marks.

Mathematics
1 answer:
mihalych1998 [28]2 years ago
6 0

Answer: The triangles are congruent by SAS(side-angle-side)

Step-by-step explanation:

The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).

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A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that
Viefleur [7K]
Y=2x+320
x being the number of years and 320 being the initial population of mice
7 0
3 years ago
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
2 years ago
Simplify this expression.<br><br> 20.25−912+11
DIA [1.3K]

Answer:

-880.75

Step-by-step explanation:

Subtract 912 from 20.25 first then add 11.

7 0
3 years ago
Read 2 more answers
Solve this system algebraically.
seraphim [82]
From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer <span>{(11/13, -17/13)}</span>
4 0
3 years ago
Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s
Harman [31]

Answer:

Option (c) is correct.

Step-by-step explanation:

Given equation is :

s=\dfrac{a+b+c}{3}

The equation can be solved for a as follows :

Step 1.

Cross multiply the given equation

3s=a+b+c

Step 2.

Now subtract b on both sides

3s-b = a+b+c-b

3s-b = a+c

Step 3.

Subtract c on both sides

3s-b-c=a+c-c

⇒ a=3s-b-c

The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".

5 0
2 years ago
Read 2 more answers
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