Part 1:all triangles have a measure of 180 degrees
so, 3(x+2)+35+52=180
add 35 and 52; 3(x+2) +87=180
subtract 87 from both sides; 3(x+2)= 93
divide both sides by 3; x+2=31
subtract both sides by 2; x=29
Part 2: since 3(x+2) =93, angle C is 93 degrees
Answer:
16=24
Step-by-step explanation:
The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24
Answer:
A)
B)
C)
D)
Step-by-step explanation:
Let's go through each answer choice.
A) -3 is to the right of -4.5 on the number line, so it is greater than -4.5
B) -3/2 is to the right of -4.5 on the number line, so it is greater than -4.5
C) 1/3 is to the right of -4.5 on the number line, so it is greater than -4.5
D) 2.5 is to the right of -4.5 on the number line, so it is greater than -4.5
E) -5.2 is to the left of -4.5 on the number line, so it is less than -4.5
Therefore, the answers are A), B), C), and D).
He bought 45 bars of chocolate.
1/5 x 45 = 9
He ate 9 bars on Tuesday.
45 - 9 = 36
He had 36 bars left.
1/12 x 36 = 3
He ate 3 bars on Wednesday
36 - 3 = 33
He had 33 bars left.
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Answer: He had 33 bars left.
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Answer:
The equation that represents the population after T years is
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
Step-by-step explanation:
Population in the year 2018 ( P )= 7,632,819,325
Rate of increase R = 1.09 %
The population after T years is given by the formula
![P_{t} = P [1 +\frac{R}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%20P%20%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7BT%7D)
-------- (1)
Where P = population in 2018
R = rate of increase
T = time period
Put the values of P & R in above equation we get
This is the equation that represents the population after T years.
