Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Let
P(h)= probability of selecting heart = 13/52= 1/4
similarly
P(s)= probability of selecting spade =1/4
P(c)= probability of selecting club =1/4
P(d)= probability of selecting diamond =1/4
a)
P(h or s)= P(h)+P(s)= 1/4+1/4=2/4=1/2=0.5
b)
P(h or s or c)=P(h)+P(s)+P(c)=1/4+1/4+1/4=3/4=0.75
c)
P(2 or a diamond)=n(2heart, 2spade,2club,13 diamonds)/total number of cards
=(1+1+1+13)/52=16/52=4/13=0.3
or we could solve it as follows:
P(2 or a diamond)=P(2)+P(diamond)-P(2diamond)=4/52 + 13/52 + 1/52 = (4+13-1)/52=16/52=0.3
Answer:
When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.
Step-by-step explanation:
Step-by-step explanation:
Answer is 30 I hope this help you
Answer:
2144
formula us v = 3/4 × pi × half of the diameter (radius)
