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liubo4ka [24]
3 years ago
13

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

x=10

A = 84

Step-by-step explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

  = 50+34

A = 84

Drupady [299]3 years ago
6 0

Answer:

x=10

A=84

Step-by-step explanation:

A+B=180

5x+34+2x+76=180

7x+110=180

7x=70

x=10

A=5x+34=5*10+34=50+34=84

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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different
Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

<u>               6          </u>* <u>        5             </u> * <u>            4           </u>* <u>          3             </u>= 360

       1st flavor           2nd flavor              topping              cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0
3 years ago
: Matteo has only $62.50 to spend at a soccer store. He wants to buy a jersey that costs $27.50 including tax, and socks that co
Anastasy [175]

Answer:

Step-by-step explanation:

$62.50                              $35.00/ $3.50 = 10

-$27.50                               x=10

-------------

$35.00

Matteo can buy a maximum of 10 socks.

3 0
3 years ago
5(y +2/5) = -13
Stells [14]

Answer:

y=-15

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
Find the limit of the sequence of partial sums whose general term is <img src="https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B100%5En%7
nasty-shy [4]

Answer:

0

Step-by-step explanation:

If ∑aₙ converges, then lim(n→∞)aₙ = 0.

Using ratio test, we can determine if the series converges:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|

lim(n→∞) |(100 / (n+1)|

0 < 1

The series converges.  Therefore, lim(n→∞)aₙ = 0.

7 0
3 years ago
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