All categories

3 years ago

Given: g ∥ h and ∠2 ≅ ∠3

Mathematics

2 answers:

Arlecino [84]3 years ago

4 0

The answer is A vertical angles theorem.

White raven [17]3 years ago

3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Given: g ∥ h and ∠2 ≅ ∠3

Statements Reasons

1. g || h 1. given

2. ∠1 ≅ ∠2 2.corresponding angles theorem

3. ∠2 ≅ ∠3 3. given

4. ∠1 ≅ ∠3 4. transitive property

5. e || f 5. Converse alternate interior angles.

As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.

Hence, Option 'D' is correct.

You might be interested in

Combine like terms - y + 9z - 16y - 25z + 4

alexandr402 [8]

$- 17y - 16z + 4$

Step-by-step explanation:

1) Collect like terms.

$( - y - 16y) + (9z - 25z) + 4$

2) Simplify.

$- 17y - 16z + 4$

So, therefor, the answer is -17y - 16z + 4.

8 0

3 years ago

A bicycle shop is selling $500.00 bikes at 10% off. if the sales tax is 7% how much will the bike cost?

Vladimir [108]

The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50

4 0

3 years ago

Finding Distance in the Coordinate Plane

GuDViN [60]

The distance between the two points (-1, 4) and (5, 4) is 6 units.

Step-by-step explanation:

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

The distance formula is given by :

Distance = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

To find the distance between these two points :

The distance formula is used,

Distance = $\sqrt{(5+1)^2+(4-4)^2}$

⇒ √(6)²

⇒ √36

⇒ 6

Therefore, the between the points is 6 units.

5 0

3 years ago

What means the same as 6 x 5? 65 5 + 5 + 5 + 5 + 5 6+6+6+6+6 I need an answer

Shalnov [3]

Answer:20+10

Step-by-step explanation:It is 20 plus 10 because 6 times 5 is 30 and so is 20 plus 10.

3 0

3 years ago

True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.

djyliett [7]

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

4 0

3 years ago