Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m

Answers

Answer 1
6 8 and 9 since when adding 2 sides together they are always equal to the third side
Answer 2

The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.

What is the condition to construct a triangle with given dimensions?

In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.

Given,

1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.

2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.

3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.

4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.

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Related Questions

john gave brandon five dollars and 13 cents now he has 25 dollars how much did he have

Answers

Answer:
Brandon originally had $19.87

Explanation:
To find out how much Brandon originally had we need to subtract 25 from 5.13.

25 - 5.13 = 19.87

So, he originally had $19.87.

ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870

Answers

Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

The missing angle is 67°.  (A)

EVERY quadrilateral has four inside angles that add up to 360°.  It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

I need help please!!!!!!!

Answers

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°

Answers

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?

Answers

Answer:

It will be in the 3rd quadrant.

Step-by-step explanation:

Hope that helps!

Answer:

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

Please help me asap ty

Answers

Step-by-step explanation:

First, I would work out the missing angle:

25° + 90° (right-angle) = 115°

180° - 115° = 65°

The missing angle is 65°.

-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit

Answer:

Side AB = 4.41

A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20

Answers

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

−7/8 −(−5/6) ​ in simplest form

Answers

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)

Answers

Answer:

m= -1

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]

-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.

Answers

Answer:

Step-by-step explanation:

D=5^2-4*(-7)*2

D=25+56

D=81

two real rational solutions, since 81 is a perfect square

What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8

Answers

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answers

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

1a) What is the side length of the following square? *


Answers

Answer:

4 unit cubes

Step-by-step explanation:

Answer:

Exact: 2sqrt(5)

Approximate: 4.472

Step-by-step explanation:

The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.

c^2 = a^2 + b^2

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

c = sqrt(20)

c = sqrt(4 * 5)

c = 2sqrt(5) = 4.472

what does X equal to ?

Answers

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

In this equation x=7

-5.8c + 4.2 - 3.1 + 1.40

Answers

The answer will be -3.3. Hope this helps!

Answer:

-3.3

Hope this helps!

Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answers

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?​

Answers

10 hours. she babysat for 10 hours.

Answer:

10

Step-by-step explanation:

In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS

Answers

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Help please someone

Answers

Answer: 751 points

Step-by-step explanation:

454 + 297 = 751

Answer:

751

Step-by-step explanation:

-297 + 454 = 751

Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.

Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million

Answers

The company's profit in the year 2003 is $3.1 million

What is profit?

Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.

Given that,

in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

profit = initial profit ( 1 + each year increase)^years

Substituting the values we get

profit=2.2( 1 + 0.13)³

=2.2( 1.13)³

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

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Answer: Its C

Step-by-step explanation: I got it right

If a=4, b=5 and c=7, calculate 2a + 3c

Answers

2x4=8
3x7=21
21+8=29
The answer should be 29

Answer:

2a + 3c = 29

Step-by-step explanation:

2a + 3c =

= 2×4 + 3×7

= 8 + 21

= 29

The value of 3⁵ ÷ 3-⁶

Answers

Answer: 33

Step-by-step explanation:

First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.

Next we have to figure out what  3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.

Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.

Hope this helped :)

The value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

We have -   [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]

We have to find its quotient.

Evaluate the following expression -  [tex]\frac{a^{n} }{a^{m} }[/tex].

You can simplify the expression as follows -

[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]

According to the question, we have -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  

Using the rule mentioned above, we can solve this as -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]

Expanding [tex]3^{11}[/tex] = 177147

Hence, the value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

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what are their means and extremes of the following proportion

Answers

Answer:

a and d are extremes b and c are means

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{c}{d}[/tex]

another way to write the equality of the two ratios is :

a : b = c : d

as you can see in the equality a : b = c : d

a and d are extremes b and c are means

Find the length of each side of a square field whose area is 6084 m‌‌²

Answers

_______________________________

Hey!!

Solution,

Area of a square field=6084m^2

Length(l)=?

Now,

Area of square=l^2

or, 6084=l^2

or,L=6084

L= 78

So the length of each side of a square field is 78 m.

Hope it helps...

Good luck on your assignment

________________________________

In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Did it on edge2020

I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !

Answers

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000

Answers

Answer:

39,000

Step-by-step explanation:

$25x30=$750

$750x52=$39000

Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self

Answers

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2

63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

Answers

so I think the the answer C or 3

Human:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

I WOULD APPRECIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

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