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3 years ago

14

Which triangles must be congruent

1 answer:

Alex17521 [72]3 years ago

6 0

All three triangles are congruent by SAS

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Help!! 15 points. Step by step explanation.

Anvisha [2.4K]

Answer: $\bold{f(x)=2\bigg(x+\dfrac{3}{4}\bigg)^2+\dfrac{-25}{8} }$

<u>Step-by-step explanation:</u>

f(x) = 2x² + 3x - 2

$\text{Add 2 to both sides:}\\f(x) + 2 = 2x^2+3x\\\\\\\text{Factor out 2 on the right side:}\\f(x) + 2 = 2\bigg(x^2+\dfrac{3}{2}x\bigg)\\\\\\\text{Add the value that creates a perfect square on the right side:}\\f(x) + 2 + 2\bigg(\dfrac{3}{2\cdot2}\bigg)^2=2\bigg[x^2+\dfrac{3}{2}x+\bigg(\dfrac{3}{2\cdot2}\bigg)^2\bigg]\\\\\\\text{Simplify:}\\f(x)+2+\dfrac{9}{8}=2\bigg(x+\dfrac{3}{4}\bigg)^2\\\\\\\text{Isolate f(x):}\\f(x)=2\bigg(x+\dfrac{3}{4}\bigg)^2+\dfrac{-25}{8}\\$

3 0

3 years ago

How many seconds will it take for the penny to hit the ground?

Nina [5.8K]

Answer:

1 second

Step-by-step explanation:

$-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1$

8 0

3 years ago

Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou

Tomtit [17]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

$20x+35y=400$ -----> equation A

Samantha worked 2 more hours than Eli

so

$y=x+2$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$20x+35(x+2)=400$

solve for x

$20x+35x+70=400\\55x=330\\x=6$

Find the value of y

substitute the value of x in equation B

$y=6+2=8$

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

8 0

3 years ago

In the equation Ax+By=C , if A is positive, and B and C are negative, which of the following are true? Select all that apply.

Naya [18.7K]

I believe that the answer is A and D

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3 years ago

If dinner costs 31 British pounds, then how much is that in U.S. Dollars?

kaheart [24]

Answer:

If dinner cost 31 British pounds than $38.78 would be the cost in U.S. dollars.

I hope this helps!

8 0

3 years ago

Read 2 more answers