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3 years ago

The segments shown below could form a triangle. 4,3,6 PLZ HELP ASAP

Mathematics

1 answer:

Rzqust [24]3 years ago

6 0

Answer:

Option A. True

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

we have

4,3 and 6

Applying the triangle inequality theorem

case 1) 4+3 > 6 -----> is true

case 2) 3+6 > 4 ----> is true

therefore

The given segments could form a triangle

Is true

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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

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3 years ago

Mark's soup recipe makes 66 servings and uses 44 carrots and 22 potatoes. how to make 15 serves

attashe74 [19]

10 carrots
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5 0

3 years ago

Read 2 more answers

What type of variable is the number of robberies reported in your city? Continuous attribute quantitative qualitative?

erastova [34]

solution:

Attribute is not type of variable, instead, attributes are the categories of a categorical variable. For example: if variable is gender, attributes are male , female.

The number of robberies is not continuous because it connot take all values in a continuous interaval.

The number of robberies is quantitative because the value is numeric (discrete)

It is not qualitative because it is not nominal.

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3 years ago

The difference between city hall and the post office is 6 1/2 miles ( six and one half)city hall is 1 1/3 (one and one fourth NO

Norma-Jean [14]

City hall to post office = 6 1/2 miles = represented by f
city hall to library site = 1 1/4 miles = represented by d
library site to post office = unknown. = represented by e

City hall to library site PLUS library site to post office IS EQUAL to city hall to post office

d + e = f

1 1/4 + e = 6 1/2

find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2) - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4 distance from library site to post office.

To check:
d + e = f

1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2

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4 years ago

The temperature outside Monday morning was -14. On Tuesday morning it was 4 degrees colder. Create an equation to show temperatu

Illusion [34]

Answer:

Temperature on Tuesday morning is $-18^{o}$ .

Step-by-step explanation:

Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.

In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;

Temperature on Tuesday = -14 + (-4)

= -14 -4

= -18

Therefore, the temperature on Tuesday morning is $-18^{o}$ .

6 0

3 years ago