Answer:
a. x is equal to 54.5
Step-by-step explanation:
The interior angles of a pentagon will add up to 540. Since it is a regular pentagon, each angle would be 108 degrees. So we can set the value of the angle to 108 and solve for x.
2x - 1 = 108
2x = 109
x = 54.5
<span>a, để pt có nghiệm thì denta ≥ 0 <=> (3-m)^2 - 4( 3-2m) ≥ 0 <=> m^2 +2m-3 ≥ 0 ( ^ là mũ)
giải bpt mới tìm được đó ta đc : m ≤ -3 hoặc m ≥ 1
b, * Xét m-1=0 <=> m=1 => thay m=1 vào pt thì pt có 1 nghiệm là 1/8 (1)
* Xét m-1 ≠ 0 <=> m ≠ 1
=> pt có nghiệm khi denta' ≥ <=> (m+3)^2 - (m-1)(-m+2) ≥0 <=> 2m^2 +3m+11 ≥ 0 (*)
-> bpt (*) có denta < 0 nên nó luôn đúng với mọi m ≠1 -> denta của pt đã cho luôn > 0 với mọi m ≠ 1 (2)
từ (1) (2) => với mọi m pt luôn có nghiệm </span>
Let y and z be the no. of students that walk to school, that takes the subway and that takes the bus
We have,
3/y = 1/2
=> y = 6 --- (1)
and,
y/z = 1/3
=> y/z = 1/3 [from (1)]
=> z = 18
Hence the no. of students that takes the bus are 18 students
Answer:
= n.
Step-by-step explanation:
Given : , b is any positive number not equal to 1 and n is any number.
To find : Evaluate the expression .
Formula used : 
. = y ∙ 
(x) and
![log_{b}(b) = 1.Solution : We have [tex]log_{b} b^{n}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ESolution%20%3A%20We%20have%20%20%5Btex%5Dlog_%7Bb%7D%20b%5E%7Bn%7D)
.
By logarithm rule : . = y ∙ (x).
Then = n∙ (b).
By logarithm rule : ![log_{b}(b) = 1.Now, n∙ [tex]log_{b}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ENow%2C%20n%E2%88%99%20%5Btex%5Dlog_%7Bb%7D)
(b) = n.
Therefore, = n.
Answer:
Estimate = 0.4
Quotient = 0.355 ---> Approximated to nearest thousandth
Step-by-step explanation:
Question like this is better answered using attachment;
See Attachment
When 1.066 is divided by 3,
The quotient is 0.3553......
When estimating to tenths,
We stop the quotient at 0.35 then round it up.
This gives 0.4
When estimating to nearest thousandth,
We stop the quotient at 0.3553 then round it up;
This gives 0.355
