Answer:
x = 78 degrees
Step-by-step explanation:
Let y represent the last angle in the triangle containing 79 degrees and x degrees.
Since the top and bottom lines are parallel, then angle y and angle 23 are alternate angles. Alternate angles are equal. Therefore,
Angle y = 23 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle x + angle y + 79 degrees = 180 degrees. Therefore
x + 23 + 79 = 180
x + 102 = 180
Subtracting 102 from the left hand side of the equation and the right hand side of the equation, it becomes
x + 102 - 102 = 180 - 102
x = 78 degrees
Answer:
3 foot 3 inches
Step-by-step explanation:
How much deeper the hole should be = intended depth - current depth
Convert feet to inches for easy calculation
1 ft = 12 inch
5 x 12 = 60 inches
1 foot = 12
12 + 9 = 21 inches
60 - 21 = 39 inches
convert inches to feet
39 /12 = 3 feet 3 inches
119(1.07) = C <== ur equation
there is another equation that would also work...
119 + 0.07(119) = C
Answer:
<A=56.64
<B=114.99
<C=8.33
Step-by-step explanation:
let angle C be x
8x-10+3x+90+x=180°[sum of inside the triangle is 180°]
12x+80=180
12x=180-80
x=100/12
x=8.33
now putting the value of x
angle C is 8.33
angle A is 56.64
angle B is 114.99
Answer:
Step-by-step explanation:
Given is a function as
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.