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<u>Answer: The three different types of angles are an acute angle, which is an angle that is an angle that measures from 1</u></em>° <em><u>to 89°. A right angle, that specifically measures to 90</u></em>°. <em><u>Finally, an obtuse angle that measures from 91° to 179°. An angle that also measures 180° is a straight line, and is called a straight angle.
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Answer:
y = 3x +4
Step-by-step explanation:
The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:
y = 3x + b
10 = 3·2 + b . . . . . . substitute x=2, y=10
4 = b . . . . . . . . . . . . subtract 6
The equation of the line is ...
y = 3x +4
Numerators will be equal after the multiplication.
Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031