What are the coordinates of the vertex?

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.

4 0

3 years ago

Read 2 more answers

N - 1/8 = 3/8 I am no smort and i forgot to study for a test =|

sdas [7]

Answer:

$\boxed{\sf{n=\dfrac{1}{2}=0.5 }}$

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

3 0

2 years ago

You buy 100 shares of a company stock at $9.75 per share and place the same amount in a savings account earning 4.5% APR. The st

MakcuM [25]

Savings account100 shares x $9.75 = $975, then multiplied by 0.045 will result to $43.89.
Stock100 shares x $9.75 = $975, then multiplied by 0.08 will result to $78.00.
So, the difference between your stocks and savings account by end of the year is $34.11 ($78.00 deducted by $43.89).Your stock is gaining higher APR by $34.11 than what's calculated in your savings account.

5 0

3 years ago

Read 2 more answers

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2

nikitadnepr [17]

The equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down $2\frac{1}{2}$ meters. So we can write $-2\frac{1}{2}$ .

Again Eric climbed straight up $6\frac{3}{4}$ meters. So, we can write $6\frac{3}{4}$ .

Then the change = $-2\frac{1}{2}+6\frac{3}{4}$

= $-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}$

= $-\frac{5}{2} +\frac{27}{4}$

= $\frac{-(5*2)+27}{4}$

= $\frac{-10+27}{4}$

= $\frac{17}{4}$

= $\frac{4*4+1}{4}$

= $4\frac{1}{4}$

Therefore, the equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

Learn more about subtraction here -

brainly.com/question/24116578

#SPJ10

7 0

2 years ago

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley

Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, $P=48\textrm{ m}$