Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.
Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :
Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Answer:
see below
Step-by-step explanation:
Order of operations is parenthesis, exponents, multiplication, division, addition, subtraction.
since there are no exponents in this problem the next step is -2(2.2)
Simplify the previous step and you get -4.4
final answer is -7.6 - 4.4 = -12
This most definitely has to be a rhombus since it is a form of a square with 4 congruent sides where a rectangle only has 4 right angles.
To clarify, a trapezoid only has one pair of parallel sides if you were wondering.
Answer: 6.9% increase
Step-by-step explanation: original: 72
new: 77 5 x = 500 = 6.9%
72 100 72
