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Tcecarenko [31]
1 year ago
5

Brainlyist Write a paragraph proof. Given: ∠1≅∠4; Prove: 2≅∠3

Mathematics
1 answer:
polet [3.4K]1 year ago
6 0

From the figure given the required prove is achieved using transitive property of equality to show that 2 ≅ ∠3

<h3>What is transitive property of equality </h3>

The term transitive property of equality is used in situation where say three values: x, y, and z are related as follows

  • if x = y and y = z then x = z

<h3>How to Prove that 2 ≅ ∠3</h3>

<u>given data</u>

Given: ∠1 ≅ ∠4

Information deduced from the figure

  • ∠1 ≅ ∠2 vertical opposite angle
  • ∠4 ≅ ∠3 vertical opposite angle

Hence we can say that ∠2 ≅ ∠3 using the transitive property of equality

Read more on transitive property of equality here: brainly.com/question/6362426

#SPJ1

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Melissa decided to divide her $42,000 of savings into three investments: a savings account paying 5% simple interest, a time dep
Marat540 [252]

Answer:

Amount in savings account = $24,000

amount put into time deposit account = $11,000

amount put into bond account = $7,000

Step-by-step explanation:

Let x be amount put into savings account, y be amount put into time deposit account and z be amount put into bond account.

Thus;

0.05x + 0.07y + 0.09z = 2600 - - (eq1)

Also,

x + y + z = 42,000 - - - (eq2)

Now,we are told she invested 6000 more in the savings account than the other 2 combined. Thus;

x = 6000 + y + z

So,

x - y - z = 6000 - - - (eq3)

Solving the 3 equations simultaneously gives;

x = $24,000 ; y = $11,000 ; z = $7,000

5 0
4 years ago
Add the following amounts: $112,774.50; $49,774.50; $37,622.50; $1,338.00; $1,200.00; $9,984.00; $7,663.50. What is the sum?
Anit [1.1K]
The sum of these numbers is 220,357.
7 0
4 years ago
Read 2 more answers
A video game company is designing a game based on professional race cars. Professional race cars have a length of 570 cm and a w
siniylev [52]

Answer:

  A) 1/45

  B) 1/60

Step-by-step explanation:

<u>Part A</u>

The actual car has a length to width ratio of ...

  length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6

The rectangle on the screen has a length to width ratio of ...

  length/width = (13 cm)/(4 cm) = 3 1/4

Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.

For a model width of 4 cm, the scale factor is ...

  model/life-size = (4 cm)/(180 cm) = 1/45

__

<u>Part B</u>

For a model width of 3 cm, the scale factor is ...

  model/life-size = (3 cm)/(180 cm) = 1/60

7 0
3 years ago
A manufacturing company uses crates to transport boxes of supplies. Two crates can hold 250 boxes. If the company needs to ship
il63 [147K]

Answer:

7 crates

Step-by-step explanation:

Let

x ----> the number of crates needed

we know that

Two crates can hold 250 boxes

so

using proportion

Find out how many crates they'll need for 875 boxes

\frac{2}{250}\frac{crates}{boxes} =\frac{x}{875}\frac{crates}{boxes}\\\\x=2(875)/250\\\\x=7\ crates

7 0
3 years ago
Read 2 more answers
What is 4 1/3 divided by 3
kipiarov [429]

Answer:

13/9 or 1 4/9

Step-by-step explanation:

5 0
3 years ago
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