Complete question :
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side.
Answer:
x = 9
All sides have 35 units length
Step-by-step explanation:
Recall: Equilateral triangles have 3 sides, all of equal length.
QR = 2x + 17
RS = 6x - 19
QS = 4x - 1
Take :
QR = RS = QS
To find x
QR = RS
2x + 17 = 6x - 19
2x - 6x = - 19 - 17
-4x = - 36
x = 9
QR = 2(9) + 17 = 35
RS = 6(9) - 19 = 35
QS = 4(9) - 1 = 35
<h2>
Range of x </h2><h3>
and x>6</h3><h3>
Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
Answer:
4-6b is the correct way to say it
Step-by-step explanation:
Answer:
She has 28 pennies
Step-by-step explanation:
Janae has 280 dimes in her piggy bank she has 10 times as many pennies .
If she has 280 dimes in piggy bank
And has 10 times as many pennies
Let dimes= x
Let pennies= y
X= 10y
But x= 280
280= 10y
280/10 = y
28 = y
She has 28 pennies
