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slava [35]
3 years ago
8

PLEASE HELP ASAP!!

Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer: The missing statements are,

In first blank:  ∠2≅∠1

In second blank:  AC≅AC

In third blank:  Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

              Statement                                       Reason

1.∠D and ∠B are right angles       1. Given

2. ∠2 ≅ ∠1                                      2. If lines are parallel then interior angles

                                                        are equal

3. AC≅AC                                      3. Reflexive

4.Δ ADC ≅ Δ CBA                        4. Hypotenuse angle theorem

                                                                     




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What is 87/297 in simplest form??
castortr0y [4]

Answer:

Reduce 87/297 to lowest terms

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4 0
2 years ago
The path of a roller coaster over a particular length of track can be represented by a quadratic function f, where f(x) represen
alexgriva [62]
The roller coaster could be represented by the function for Choice D.

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8 0
3 years ago
The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.
nataly862011 [7]

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

<u>-10 = -2a - 2b</u><u> </u>    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

4 0
3 years ago
Please help me out on this​
LenKa [72]

Answer:

D

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5 0
2 years ago
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= $2.10/16

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From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.

7 0
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