The sum of two sides of a triangle must be greater than the third side
1) 5+9>14
14>14 It is incorrect so you can’t have these lengths
2)7+7>15
14>15 X
3)1+2>4
3>4 X
4)3+6>8
9>8
6+8>3
14>3
8+3>6
11>6
So the fourth choice is correct
Answer:
z-score = 1
Step-by-step explanation:
Given
Mean= μ=240
SD= σ=32
In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.
The formula for z-score is:
z-score=(x-μ)/σ
Here x is the value whose z-score is to be found.
In the given question, x = 272
So,
z-score=(272-240)/32
=32/32
=1
So , the z-score for 272 is 1..
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y =
x +
← in slope- intercept form
with m = 
• Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y =
x +
← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
the question in English
Draw a rectangle having the base congruent to the nine sevenths of the height.
Let
b-------> the base of rectangle
h-------> the height of rectangle
we know that
b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height
examples
1) for h=7 units
b=(9/7)*7-------->b=9 units
the dimensions are 9 units x 7 units------> see the attached figure
2) for h=5 units
b=(9/7)*5-------->b=(45/7) units
the dimensions are (45/7) units x 5 units
The answer in Italian
Facciamo
b-------> base del rettangolo
h-------> altezza del rettangolo
Noi sappiamo che
b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza
esempi
1) per h=7 units
b=(9/7)*7-------->b=9 units
le dimensioni sono 9 units x 7 units----->
vedere la figura allegata
2) per h=5 units
b=(9/7)*5-------->b=(45/7) units
le dimensioni sono (45/7) units x 5 units