Answer:
x = 16
Step-by-step explanation:
From the first statement, we can say that:
Angle A is equal to angle D,
Angle B is equal to and E.
Since measure of Angle B and E are given and they are equal, we equate them and solve for x.
Hence x = 16
Answer: x = 5
y = 2
z = 2
Step-by-step explanation:
-3x+4y+2z=-3 - ,- - - - - - 1
2x-4y-z=0 - - - - - - - - - - 2
y=3x-13 - - - - - - - - - - 3
We will use the method of substitution.
Substituting y = 3x -13 into equation 1 and equation 2, it becomes
-3x+4(3x-13)+2z=-3
-3x + 12x - 52 + 2z=-3+52
9x+2z = 49 - - - - - - -4
2x - 4(3x-13)-z= 0
2x - 12x + 52 - z = 0
-10x- z = -52 - - - - - - --5
Using elimination method to solve equation 4 and equation 5
Multiply equation 5 by 2 and equation 4 by 1
-20x - 2z = -104
9x+2z = 49
Adding both equations,
-11x = -55
x = -55/-11
x = 5
Substituting x = 5 into equation 3
y = 3x - 13
y = 3×5 -13 = 15-13
y = 2
Substituting x = 5 and y = 2 into equation 1,
-3x+4y+2z=-3
-3×5 + 4×2 +2z = -3
-15+8+2z = -3
-7+2z = -3
2z = -3+7
2z = 4
z = 4/2 = 2
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
First, you have to calculate the height.
Pythagorean Theorem:
a^2+b^2=c^2
Slant height=c^2
Radius=b^2
So, a^2+6^2=16^2
a^2+36=256
a^2=220
a=14.832397
Surface Area = πr(r+ square root of h^2+r^2)
Surface Area is approximately 414.69
Answer:
44 cents
Step-by-step explanation:
a unit price is how much something costs per one
if it costs 4 dollars for 9, we can do 4/9 to find the unit price
4/9=.4444444....
this to the nearest hundredth is .44 or 44 cents
