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Tomtit [17]
3 years ago
14

What is the measure of angle B

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

D. 55

Step-by-step explanation:

angle c is a 90 degree angle 90-35=55

hope this helps

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Linda is 12 years younger than her sister Laura. Together their total age is 18. How old is Linda? How old is Laura?
geniusboy [140]

Answer:

Linda: 3 ; Laura: 15

Step-by-step explanation:

Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.

Let "Linda" = x , "Laura" = y:

x + y = 18

x = y - 12

First, plug in y - 12 for x in the first equation:

(y - 12) + y = 18

Simplify.

2y - 12 = 18

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.

2y - 12 (+12) = 18 (+12)

2y = 18 + 12

2y = 30

(2y)/2 = (30)/2

y = 30/2

y = 15

Next, plug in 15 for y in the second equation (the other equation would work too).

x = y - 12

x = (15) - 12

x = 3

Linda's age is 3, Laura's age is 15.

~

7 0
2 years ago
N is a positive intiger. Explain why 2n+1 must be an odd number.​
pogonyaev

Answer:

Because the number would be multiplied by an even number, which is 2. If the number (odd or even) is multiplied by two, then the result would be an <em>even number</em>.

Proof:

2(1) = 2

2(6) = 12

2(7) = 14

2(3) = 6

The number would then be added by an odd number, which is 1. If an even number is added with an odd number, then the result would be an odd number.

Proof:

2 + 1 = 3

12 + 1 = 13

14 + 1 = 15

6 + 1 = 7

6 0
3 years ago
Graph the numbers that are solutions to both inequalities.
nadya68 [22]

Answer:

p ∈ [5 , 6)

Step-by-step explanation:

p + 6 ≥ 11

⇒ p ≥ 11 - 6

⇒ p ≥ 5

⇒ p ∈ [5 , +∞)

3p < 18

⇒ p < 18/3

⇒ p < 6

⇒ p ∈ (-∞ , 6)

Then

p the solution to both equations verify:

p ∈ (-∞ , 6) ∩ [5 , +∞)

Conclusion :

p ∈ [5 , 6)

3 0
1 year ago
recent survey found that 71​% of all adults over 50 wear glasses for driving. In a random sample of 30 adults over​ 50, what is
valentina_108 [34]

Answer:

Mean = 21.3

Standard Deviation = 2.48

Step-by-step explanation:

We are given the following in the question:

p = 71​% = 0.71

Sample size, n = 30

We have to find the mean and the standard deviation of those that wear​ glasses.

\text{Mean} = np\\=30(0.71)\\=21.3

Thus, the mean of those who wear glasses is 21.3

\text{Standard deviation} = \sqrt{npq}\\=\sqrt{np(1-p)}\\=\sqrt{30\times 0.71\times (1-0.71)}\\=2.48

Thus, the standard deviation of those who wear glasses is 2.48

5 0
2 years ago
Any help, please :)
Nataly_w [17]

Answer:

y=x+6

Step-by-step explanation:

slope is 1

y intercept is 6

3 0
2 years ago
Read 2 more answers
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