Answer:
Step-by-step explanation:
sixteen possible outcomes
A fair 4-sided die is rolled twice and we assume that all sixteen possible outcomes are equally likely.
Answer:
Part 9)
Part 10)
Part 11)
Part 12)
Part 13)
a)
b) m∠VWX=
c) m∠WVX=
d) m∠XTV=
e) m∠XVT=
Step-by-step explanation:
Part 9) we have that
----->by SSA
solve for x
Part 10)
In the isosceles triangle of the left the vertex angle is equal to
Find the measure of angle 2
m∠2=
m∠2=
solve for x
Part 11)
Find the base angle in the isosceles triangle of the top
Find the vertex angle in the isosceles triangle of the top
Find the vertex angle 2 in the isosceles triangle of the bottom
------> this is the measure of angle 2
m∠2=
m∠2=
Part 12)
m∠2= ------> by corresponding angles
m∠2=
Part 13)
a) we have that
SU=UW ------> given problem
therefore
b) we know that
m∠VWX=
in the right triangle UVW find the value of y
The sum of the internal angles of a triangle is equal to
so
so
m∠VWX=
Part c) we know that
in the right triangle VWX
The sum of the internal angles of a triangle is equal to
so
m∠WVX=
m∠WVX=
m∠WVX=
Part d) we know that
in the right triangle XTV
The sum of the internal angles of a triangle is equal to
so
m∠XTV=
m∠XTV=
m∠XTV=
Part e) we know that
m∠XVT=
substitute the value of y
m∠XVT=
m∠XVT=
Answer:
Step-by-step explanation:
Given
Required
Find a solution
To do this, we assume a value for x, then solve for y.
Let x = 1
Substitute 1 for x in
Hence, a solution is:
Use the order of operations in order to simplify (solve) the expression
<span>-12 ÷ 3 x (-8 + (-8) - 6) + 2 Original expression
</span><span>-12 ÷ 3 x (-16- 6) + 2 Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16
</span><span>-12 ÷ 3 x (-22) + 2 Inside the parenthesis subtract -16-6 = -22
</span>-4 x (-22) + 2 Multiplication and division is worked from left to right. -12 divided by 3 is -4
88 +2 Multiply -4 x -22 = 88. Two negatives make a positive with multiplication.
90 Addition 88 + 2 = 90