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Mandarinka [93]
2 years ago
14

What is the value of x? 3x−8=(8x+4 ----- 2

Mathematics
1 answer:
stepladder [879]2 years ago
3 0

3x-8 = 8x+4

subtract 3x from each side

-8 = 5x+4

 subtract 4 from each side

-12 = 5x

divide -12 by 5 to get x

x = -12/5 = -2.4

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In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,
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Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
  • \frac{AD}{CD} = \frac{AB}{CB}

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

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6 0
1 year ago
HELP ME WITH THESE TWO PLEASE PLEASE ILL GIVE BRAINLIEST
faltersainse [42]

Answer:

1. C. 28/54

2. A. 5/22

Step-by-step explanation:

1. Simplify each fraction to see which of the four are equal to 4/9.

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6 0
3 years ago
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Serggg [28]

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29

5 0
2 years ago
What is the constant of proportionality for y=5/8x
Sidana [21]

Answer: 5/8

Step-by-step explanation:

7 0
2 years ago
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A certain taxi driver charges a rate of r cents per person per mile. How much money, in dollars, would it cost three people to t
Anika [276]

Answer:

It would cost ( 3xr/200) dollars  to three people to travel x miles.

Step-by-step explanation:

Here, according to the question:

The rate of the taxi fare = r cents per person per mile

The total number of people travelling = 3 friends

Each person travels x miles.

So, the total distance traveled by 3 friends

= 3  ( Distance traveled by 1 friend) = (3 x) miles

Now, as each mile costs r cents.

So, the cost of travelling (3 x) miles  = ( 3 x) (r)  cents   .... (1)

Also, 100 cents = $ 1

So,  1 cent = (1/100) dollars

⇒ r cents  = (r/100) dollars

So, the cost of travelling (3 x) miles  = ( 3xr/100) dollars  .... (2)

Now, If he gives them a 50% DISCOUNT.

Then the cost of travelling (3 x) miles  = ( 3xr/ 2 x 100) dollars  

= ( 3xr/200) dollars  

Hence,it would cost ( 3xr/200) dollars  to three people to travel x miles.

4 0
2 years ago
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