1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
3 years ago
15

Geometric stuff and please explain

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

You might be interested in
QUESTION 8. An unknown number is added to 8. The sum is
Rudik [331]

Answer:

82

Step-by-step explanation:

Let the unknown number be x

If an unknown number is added to 8, this is expressed as;

8 + x

<em>If The sum is  then divided by 9 to give the answer 10, then;</em>

<em>(8+x)/9 = 10</em>

<em>Cross multiply</em>

<em>8 + x = 9 * 10</em>

<em>8 + x = 90</em>

<em>x = 90 - 8</em>

<em>x = 82</em>

Hence the unknown number is 82

3 0
3 years ago
How do u make 66.6% a fraction
Bumek [7]
Well a percent is always a number/100 (3%=3/100)
So what you have to do is put 66.6 over 100 and get
66.6/100 as your answer.
7 0
3 years ago
3-5n+4n=4. help please​
goblinko [34]

Answer:

n = -1

Step-by-step explanation:

3-5n+4n=4

3 - n = 4

-n = 1

n = -1

6 0
3 years ago
3.)
kotykmax [81]

Answer:

Let’s find out...

Step-by-step explanation:

21 x 13 = 273

(13 x 20) + (13 x 1) =

260 + 13 = 273

So this one matches

(21 x 10) + 213 =

210 + 213 = 423

Does not match

(30 x 13) - (9 x 13) =

390 - 117 = 273

This one matches

(20 x 10) + (1 x 3) =

200 + 3 = 203

Does not match

5 0
3 years ago
Jeremy caught 8 fish in a contest.
seraphim [82]

Answer:

3.1 kg

Step-by-step explanation:

4.3+5.3+ 6.8+ 2.6 + 3.2 +4.4 +4.8= 31.4 kg

Last fish= y

(31.4 + y)÷ 8= 4.3125

31.4 + y= 4.3125 x 8

y= 34.5 - 31.4

∴ y= 3.1 kg

6 0
3 years ago
Other questions:
  • Sin o = - 2/2<br> Select all angle measures for which
    12·1 answer
  • Please help!!!<br><br>what is 2+2=???
    15·2 answers
  • Find the value of x so that line m is parallel to line l.
    7·2 answers
  • You deposit $75 in a savings account that earns 5% annual interest compounded yearly. Find the balance in the account after the
    10·1 answer
  • The table represents the function f (x) = 2 x + 1.
    15·2 answers
  • Find the slope given the points (3,18) and (0,18).
    10·1 answer
  • Can anyone help me out please!!!
    5·1 answer
  • HELP! HAVE TO FINISH FAST! Fill in the numbers resulting from the indicated operation.
    13·1 answer
  • A golf ball is hit with an initial velocity of 80 ft/sec.Use the equation h(t)=80t-16t^2 where h(t) is the height of the object
    13·1 answer
  • a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!