Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?
3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.
Steps:
We set the equation to:
3x+13+7x+2+75=180
We can combine some terms
10x+90=180
Then, we isolate x
10x=90
And we divide by 10
x=9
Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a
3(9)+13
Multiply
27+13
Add
40
Answer:
Explanation:
Let's begin writing down everything
(X×(-11)+5)×(-9)+X-55
Now we can multiply
-9(-11X+5)+X-55
99X-45+X-55
And so we get
100X-100
Factorize 100
100(x-1)
Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Answer:
see below
Step-by-step explanation:
a. Has a slope of 2 and passes through (10,17)
Using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the equation
17 = 2(10)+b
17 = 20+b
Subtract 20 from each side
17-20 =b
-3 =b
y = 2x-3
b. passes through (1,-4) and (2,-5)
First find the slope
m= (y2-y1)/(x2-x1)
= (-5- -4)/(2-1)
= (-5+4)/(2-1)
= -1/1
= -1
Using the slope intercept form
y = -x+b
Substitute a point into the equation
-4 = -1(1) +b
-4 = -1+b
Add 1 to each side
-3 = b
y = -x+3
Well let's do some maths if each made a certain amount of baskets an hour you could divide them and figure out how many baskets were made per hour.
jack = 30/5 = 6 baskets per hour
Rudy = 32/8 = 4 baskets per hour
Sam = 40/12 =3.333 baskets per hour
Walter = 22/4 = 5.5 baskets per hour
according to this Jack had the greatest productivity
