Answers
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 ...
Related Questions
The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of this world is normally distributed what is the probability that a randomly selected bulb would last fewer than 940 hours?
Answers
Answer:
11.5%
Step-by-step explanation:
To solve this problem, we can use the knowledge that there are z score tables that calculate probabilities based on z scores. Thus, we must calculate the z score.
The z score formula is [tex]\frac{x- m}{s}[/tex] , where x is the value, m is the mean, and s is the standard deviation. We can then plug our values in to get [tex]\frac{940-1000}{50} = \frac{-60}{50} = -1.2[/tex] as our z score. Plugging this into a table where table values represent the area to the left of the z score (as we want to calculate everything under 940), we get 0.115, or 11.5% as our answer
Put these numbers in order from greatest to least.
0.07,3/5, and 5/8
Answers
Answer:
From greatest to least: 5/8, 3/5, 0.07
Step-by-step explanation:
5/8 = 0.625
3/5 = 0.6
0.07 = 0.07
Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
What is the distance between these two points?
units
Answers
Step-by-step explanation:
the distance between these two points is 11 units
What are the domain, range, and asymptote of h(x)=2x+4
Answers
Step-by-step explanation:
Domain = x € the real Numbers
Range = y € the real Numbers
No asymptotes
structions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identify all the correct names
Answers
Answer:
1) I, 4, HIJ
2) G, 1, HGF
3) J, 2, IJK
Step-by-step explanation:
Please help me ASAP
Answers
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
Hence, determine the length of AB. (Correct to TWO decimal places).
Answers
Answer:
sorry also maybe a diagram would have helped
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
Answers
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Which of the following are mathematical sentences? Check all that apply.
O A. 12
B. 2<4
O C. 10g
D. 8- d = 16
E. 6 + 4 = 10
F. 8-V
Answers
Answer:
A,D
Step-by-step explanation:
Answer:
Answers: A and E ✡
- - Why?
Well a mathematical sentence needs to have something to equal to.
In this case for a we have
=10 and for d =16.
Step-by-step explanation:
Fill in the blank.
7.95x10^7 = [ ? ]x 10^6
Answers
Answer:
79.5
Step-by-step explanation:
10^7 = 10^6 * 10
then 10*7.95 = 79.5
In the following function defined by an equation in the form y = ax + bx+c, identify the values of a, b, and c.
y = 5x2 + 2x-1
a. d=-1, b = 2,0 = 5
b. a = -2, b = 5,0 = 1
C. a = 1, b = 5,0 = 2
d. a = 5,6 = 2,0 = -1
Answers
Answer:
d
Step-by-step explanation:
just compare,
y = aX^2+bX+C and
y = 5X^2 + 2X - 1
Which verbal expression shows 4 ÷ n?
Your answer:
n divided by 4
the quotient of 4 and n
the product of 4 and n
4 decreased by n
Answers
Answer:
'the quotient of 4 and n ' is the correct answer
What is the first step in solving the quadratic equation -5x2+8=133
Answers
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
B. b + 15
O Ο Ο Ο
C. b- 15
D. b. 15
Answers
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answers
Answer:
1, -3.5
Step-by-step explanation:
Answer:(0.5,-3.5)
Step-by-step explanation:
(-2+3/2)/2, (-5-2)/2
0.5,-3.5
Which answer choice shows a solution set in which all values, when input for x, will be true?
12−(x+2)>2
Answers
Answer:
It would be x < 8
Step-by-step explanation:
The interval notation is (-∞, 8)
Hope this helps:)
Y = -8
Y = -2x - 12
Solve this equation by substitution
Answers
Answer:
x = - 2
Step-by-step explanation:
- 8 = - 2x - 12
- 8 + 12 = - 2x - 12 + 12
- 2x = 4
- 2x ÷ - 2 = 4 ÷ - 2
x = - 2
Can somebody help I’ll give brainless
Answers
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
The first and second steps to solve the equation 3x/5+5=20 are shown below
Answers
Answer:
The solution of the equation is:
x = 25.Step-by-step explanation:
To solve the equation:
[tex]\frac{3x}{5}+5=20[/tex]First, you must add the terms 3x/5 and 5:
[tex]\frac{3x+25}{5}=20[/tex]Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:
3x + 25 = 20 * 53x + 25 = 100Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:
3x = 100 - 253x = 75At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:
[tex]x=\frac{75}{3}[/tex]x = 25If we use this value in the original equation, we can prove if it's the correct:
[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20As you can see, the result x = 25 is the correct.
The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?
Answers
Answer:
ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price
Find the missing segment
Answers
Answer:
45
Mark me as brainlist
ok
Can someone help me with this now !
Answers
Answer:
its either B or D.
Step-by-step explanation:
could you mark me brainliest pls or even hit the thanks button
How do I solve for x?
Answers
Please help I’ll give brainliest
Answers
Answer:
$48
Step-by-step explanation:
$160 * 0.05 = $8
$8 * 6 = $48
Hope this helps
Answer:
48
Step-by-step explanation:
Please Mark me brainlist
What is the range of the relation? {(2, 1), (-4, 5), (1, 7), (3, -3), (-1, 2)}
Answers
Answer:
(1,5,7,-3,2)etc are the range of the relation.
Find the value of x. Express your answer in simplest radical form.
Answers
Answer:
D
x=5*sqrt(2)/2
Step-by-step explanation:
since it is a right triangle, and one of the other angles is 45, we know that the last angle must also be 45 since the 3 interior angles must be 180
then using pythagroem theorem
sqrt(a^2+b^2)=c
sqrt(x^2+x^2) = 5
square both sides
x^2+x^2=25
2x^2=25
x^2=25/2
square root both sides
x= sqrt(25/2)=5/sqrt(2)
rationalize the demonominator by multiplying by sqrt(2)/sqrt(2)
x=5*sqrt(2)/2
Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!
Answers
Answer:
What's the question? Please post the full question
Answer:This angle is a 35 degree angle
Step-by-step explanation:
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.
dot plot titled Number of Golfers for Week 1 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89
dot plot titled Number of Golfers for Week 2 with number line labeled Age of Golfer, 2 dots at 62, 3 dots at 64, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, 2 dots at 85, 3 dots at 86, and 2 dots at 89
The range for Week 1 equals the range for Week 2.
The range for Week 1 is greater than the range for Week 2.
The median for Week 1 is less than the median for Week 2.
The mean for Week 1 is greater than the mean for Week 2.
Answers
Answer:
The median for Week 1 is less than the median for Week 2.
Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2
Answers
Step-by-step explanation:
1.5 is the answer I just tried it and got it correct
Answer:
1.5 I just got the correct answer on edge
Algebra 2 Problem! Rational Roots
Answers
Answer:
este no hablo inglés