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LuckyWell [14K]
3 years ago
6

7th grade math help. Check answers too please

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer: It looks correct to me !

Step-by-step explanation:

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Given: What type of angles are ∠2 and ∠3 are adjacent angles.
lubasha [3.4K]
The correct answer is:  [D]:  "<span>supplementary angles, 180° " .
_____________________________________________________
<u>Note:</u>  
</span><span>
Choices:
_____________________________________________________
   [B]:  "complementary angles, 180° " ; and:
_____________________________________________________
   [C]:  "supplementary angles, 90° "  ;  
_____________________________________________________
can automatically be ruled out ; since by definition:

     </span>→  Complementary angles always add up to 90° — NOT 180° ; 
and:   supplementary angles always add up to 180° — NOT 90° .
<span>_____________________________________________________
Note:  "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180</span>° .  Futhermore, looking at the image provided,

we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;  

  and as such;  ∠1 and ∠2 are supplementary angles—
 
  and as such—add up to 180° .

(which rules out:  Choice [A]:  "complementary <span>angles, 90°) ; 

</span>→  <span>and demonstrates the correct answer:
______________________________________________________
Answer choice:  [D]:  "</span><span>supplementary angles, 180°</span><span> " .
</span> <span>______________________________________________________
</span>
5 0
3 years ago
Which expression is equivalent to 6^4 x 6^3
Alex777 [14]

Answer:

36^{7}

Step-by-step explanation:

6^{4} × 6^{3}

6 x 6 = 36

4 + 3 = 7  (add exponents because its multiplication)

8 0
2 years ago
Read 2 more answers
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe
Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card.  X has the binomial distribution with n = 100 trials and success probability p = 0.2  

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

                 P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

                 for values of x = 0, 1, 2, ..., n  

                 P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.  

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

                  X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20  

- The variance of the binomial distribution is n * p * (1 - p) = 16  

7 0
3 years ago
The table shows a proportional relationship between x
lakkis [162]
What’s the question it’s not showing up for me or you just didn’t type it
7 0
3 years ago
Consider a civilization broadcasting a signal with a power of 2.0×104 watts. The Arecibo radio telescope, which is about 300 met
Vitek1552 [10]

For light: Inverse Square Law 

<span>
The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference. </span>

<span>
</span>

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.


 2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.<span>
The new telescope needs 246462.60 times that area to have enough sensitivity </span>

<span>
<span>(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10</span></span>

<span><span>
</span></span>

What is the diameter of a circle with that area?

 <span>
<span>1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293</span></span>

3. Multiply by 2 to find the diameter = <span>148971.886</span>

7 0
3 years ago
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