Answer:
Step-by-step explanation:
<B = 360 - <A
<B = 360 - 170
<B = 190
There are two angles present, depending on which way you look at it. One is larger than 180 (the one we found) and the other is slightly less than 180 (the one you gave us).
Answer:
(2x+3)(x - 1)
Step-by-step explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)
1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0

; where a = 1, b = -2 and c = 10

Therefore, x = 1 + 3i or x = 1 - 3i
Answer:
hence Robert runs at a faster speed
Step-by-step explanation:
1 1/2 hours = 3/2 hours = 1.5 hours
45 min = 45/60 = 3/4 = 0.75 hours
Jacob's speed = 5 miles ÷ 1.5 hours = 3.33 miles/hr
Robert's speed = 3 miles ÷ 0.75 hours = 4 miles/hr
hence Robert runs at a faster speed
Answer:
Heyyyy!!
The answer is 66.9
please read the explanation... it will help... I promise
Step-by-step explanation:
Okay... Here we go...
The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...
So... you basically have to find the scale factor...
(the math itself is easier than the explanation...
51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...
so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)
but yeah... i hope this helps...