Answer:
187
Step-by-step explanation:
A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.
We should first find the LCM of 30, 36 and 45
We get that the LCM of the three numbers is 280 (working attached).
So now;
= 6
= 5
= 4
But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.
Answer: s > 5
Step-by-step explanation:
-s² + 25s - 100 > 0
Coefficient of s² is -1, multiply the equation through by -1.
-1 × (-s² + 25s - 100)
s² — 25s + 100
ax² + bx + c
Then you get the factors x and y that gives x + y = b and xy = c
b = -25 and c = 100, x = -20 and y = -5
-20 × -5 = 100 and -20 + -5 = -25
Then
s² — 20s — 5s + 100 > 0
Factorising,
s (s — 20) — 5(s — 20) > 0
(s — 5)(s — 20) > 0
(s — 5) > 0 and (s — 20) > 0
s>5 and s>20
s > 5
Hope this Helps?
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Process
1.- We can prove that the triangles are congruent.
Two angles measure the same 23°
Two sides measure the same 9
Two angles measure the same the are vertical angles
The third angle measure the same
From this information, we conclude that the triangles are congruent ASA
2.- If the triangles are congruent then x = 6, the sides are congruent
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
Applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
<h3>What is the Division Rule of Exponents?</h3>
The division rule of exponents state that if we have a numerator and a denominator with the same base, the quotient will be the base, while we subtract the exponent value of the denominator from the exponent value of the numerator.
For example, if we have, a³/a², the division rule of exponents states that:
a^(3 - 2) = a^1 = a.
Given the expression, 6^10/6^6, we can rewrite the expression in the form of b^n by applying the division rule of exponents as shown below:
6^10/6^6 = 6^(10 - 6)
6^10/6^6 = 6^4
In conclusion, applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
Learn more about the division rule of exponents on:
brainly.com/question/2263967
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