All categories

3 years ago

I need help on 2 column proofs!!

Mathematics

1 answer:

evablogger [386]3 years ago

7 0

The proof is given below.

Step-by-step explanation:

Given,

AB║DC and AB≅DC

To proof ΔABE ≅ Δ CDE

Proof:

AB║DC and AC is the transversal

∠BAE = ∠ECD ( alternate angle)

AB║DC and BD is the transversal

∠ABE = ∠EDC( alternate angle)

Now,

In ΔABE and Δ CDE

∠BAE = ∠ECD ( alternate angle)

∠ABE = ∠EDC( alternate angle)

∠AEB = ∠CED (vertically opposite angle)

So, by AAA condition we get,

ΔABE ≅ Δ CDE

You might be interested in

A student has some $5 bills and $10 bills in her wallet for a total of $100. The amount of $10 bills she has is 3 more than 3 ti

Sergeu [11.5K]

Answer:

she has 6 $5 bills and 4 $10 bills I think I'm not sure

7 0

3 years ago

If f(x)=x-2 which of the following is the inverse of f(x) brainly

Lostsunrise [7]

Answer:

The inverse of f(x) is $f ^ {- 1}(x) = x + 2$

Step-by-step explanation:

To find the inverse of the function $f (x) = x-2$ , perform the following steps:

1) do $y = f (x)$

$y = x-2$

2) Solve the equation for the variable x.

$y + 2 = x -2 +2$

$y + 2 = x$

3) exchange the variable x with the variable y

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

4) Change the variable y by $f ^{- 1}(x)$

Finally the inverse function is:

$f ^ {- 1} (x) = x + 2$

4 0

3 years ago

Find cot theta if csc theta = <br><br>sqrt17/4 and tan theta >0.

Lorico [155]

Answer:

$tan \theta = 4$

Step-by-step explanation:

We know that

$cosec \theta = \frac{hypotenuse }{opposite }$

Given :

$cosec \theta =\frac{\sqrt{17}}{4}\\$

So 4 is the opposite side of theta.

$tan \theta = \frac{opposite}{adjacent}$

We use the Pythagorean theorem to find for the adjacent side.

$a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1$

$Therefore, \ tan \theta = \frac{4}{1} = 4$

7 0

3 years ago

Item 9 Find the annual interest rate. I=$562.50, P=$1500, t=5 yearsI=$562.50, P=$1500, t=5 years The annual interest rate is %.

Anton [14]

Hi there :-)
The formula of the simple interest is
I=prt
your question ask to find r which is interest rate you do that by dividing each side by (pt) to get
R=I÷pt
Now solve to get the interest rate
R=562.5÷(1,500×5)
R=0.075×100 multiply by 100 to get it as percentage
R=7.5%

Hope it helps:-)

4 0

3 years ago

What’s these 2 answers this for music notes

melamori03 [73]

Answer:

1: c

2: face

Step-by-step explanation:

pretty sure

4 0

3 years ago