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Nimfa-mama [501]
2 years ago
12

Measure of angle abc

Mathematics
2 answers:
Free_Kalibri [48]2 years ago
4 0

I'm not 100% sure that this is correct, but I did as much as I understood: m ∠ ABC = (3x+6) + (7x-18) = (10x - 12)°

I'm reallly sorry if I got this wrong or if this was useless to you, but I hope this helped!

astra-53 [7]2 years ago
3 0
10x-12 is the answer I believe
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The range of y=√x-5-1 is​
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[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here.  I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ).  The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

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3 years ago
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Determine whether 33 divides the product of 2⋅3⋅7⋅11. If it does divide the product, find the quotient. If it does not divide th
swat32

Answer:

The answer would be 30

Step-by-step explanation

For positive integers: 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 = 2310 For all integers: ± ( 2 ⋅ 3 ⋅ 5 ) = ± 30 For Gaussian integers: ± 1 ± 3 i and ± 3 ± i (all combinations of signs) Explanation: A prime number is a number whose only factors are itself, units and unit multiples of itself. So in the positive integers, the first few primes are: 2 , 3 , 5 , 7 , 11 , ... So the smallest composite positive integer with the five smallest prime positive integers as factors is: 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 = 2310 If we extend our interest to include negative integers, then the smallest primes are: 2 , − 2 , 3 , − 3 , 5 , − 5 , ... So the smallest composite integers with the five smallest prime integers as factors are: ± ( 2 ⋅ 3 ⋅ 5 ) = ± 30 If we consider Gaussian integers, then the smallest primes are: 1 + i , 1 − i , − 1 + i , − 1 − i , 1 + 2 i , 1 − 2 i , − 1 + 2 i , − 1 − 2 i , 2 + i , 2 − i , − 2 + i , − 2 − i , 3 , − 3 ,... So the smallest composite Gaussian integers with the five smallest prime Gaussian integers as factor are: ( 1 + i ) ( 1 + 2 i ) = − 1 + 3 i , 1 + 3 i , − 1 − 3 i , − 1 + 3 i , 3 + i , 3 − i , − 3 + i , − 3 − i

5 0
2 years ago
- Solve for x. 7x + 6 – 5x + 10 = 4 *
DaniilM [7]

Answer:

x= -6

Step-by-step explanation:

3 0
3 years ago
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A club surveyed its members to decide on food for an event. Out of 125 members surveyed, 89 preferred pizza, 23 of those preferr
RSB [31]

Answer:

\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}

Step-by-step explanation:

There are 125 members.

89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.

52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.

Now,

66 members preferred only pizza,

23 members preferred both,

29 members preferred only punch,

125-66-23-29=7 members did not prefer both

The two-way table is

\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}

4 0
2 years ago
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