Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Answer:
0.88
Step-by-step explanation:
P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)
P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05
P(x≥2) = 0.88
Or, you can calculate it as:
P(x≥2) = 1 - P(x=1) - P(x=0)
P(x≥2) = 1 - 0.09 - 0.03
P(x≥2) = 0.88
We know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference
</span><span>The measure of the external angle is the semidifference of the arcs that it covers
</span>
so
∠NOP=(70-30)/2-----> 20°
the answer is
<span>∠NOP=20</span>°
The answer to the question is b
y = (x-5)^2
y = x^2-10x+25
Answer: See step by step
Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle 6 and 7 are supplementary angles because they forma linear pair.
