All categories

3 years ago

Which of these angles are the alternate interior angles theorem?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

C. ECA = BDA

Step-by-step explanation:

An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.

From the given question, the alternate interior angles by the theorem is;

ECA = BDA

By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.

You might be interested in

The cost of highlighters is proportional to the number of highlighters purchased. If a 4

andrew-mc [135]

Answer:

The cost per highlighter is $0.60

Step-by-step explanation:

I know this because to find the cost of each highlighter you would divide $2.40 by 4 so the answer would be $0.60.

Please give brainliest I'm trying to level up

3 0

3 years ago

Read 2 more answers

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

RSB [31]

Answer:

$y=-x-4$

Step-by-step explanation:

$y-3=-1(x+1)$

$y=-x-1-3$

$y=-x-4$

4 0

3 years ago

Convert the measurement.<br> 56.8 grams= ounces

Inessa05 [86]

Answer:

2.003561 ounces or 2.0 rounded

Step-by-step explanation:

7 0

3 years ago

Given that x and y are positive integers, solve the equation x² - 4y² = 13

zvonat [6]

<h3>Answer: x = 7 and y = 3</h3>

=====================================================

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

A) x-2y = 1 and x+2y = 13
B) x-2y = 13 and x+2y = 1

----------------

Let's consider case A

We have this system of equations

$\begin{cases}x-2y = 1\\x+2y = 13\end{cases}$

Add the equations straight down

x+x becomes 2x
-2y+2y becomes 0y = 0 which goes away
1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

----------------

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example: x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

-----------------

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0

2 years ago

Find the distance between the points E(3, 7) and F(6, 5). The exact distance between the two points is .

S_A_V [24]

Answer:

$\sqrt{13}$

Step-by-step explanation:

The trick here is to know the distance formula (a formula that helps you find the distance between two points).

Distance formula: distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

But now that we know this, we can simply plug in our values and solve!

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sqrt{(6-3)^2+(5-7)^2}\\\sqrt{(3)^2+(-2)^2}\\\sqrt{9+4}\\\sqrt{13}$

Now we can tell from our answer that the distance between both points is $\sqrt{13}$

7 0

3 years ago