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3 years ago

Find the measure of angle A. (Hint: You will need to find the value of x, but that is NOT the solution.)

Mathematics

1 answer:

dangina [55]3 years ago

8 0

Answer:

41°

Step-by-step explanation:

Sum of angle measures in a triangle: 180°

So,

108 + x + 5 + x - 5 = 180

Simplify.

2x + 108 = 180

Subtract 108 from both sides.

2x = 72

x = 36

Substitute x = 36 into (x + 5)

m∠A = 36 + 5 = 41

Thus, the answer is 41°

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If 10% of a group of children are girls, what is the ratio of girls to boys

Ipatiy [6.2K]

Answer:

9 boys to 1 girl

Step-by-step explanation:

3 0

3 years ago

The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5, and each digit can b

Papessa [141]

Answer:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

$5\times 5 \times 5 = 125$

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

$P(E) = \dfrac{1}{125}$

$P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}$

So, the answers are:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

7 0

3 years ago

Another way to write g(h(x)) is (gOh)(x) (hog)(x)

o-na [289]

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

7 0

2 years ago

Write your own situation for the expression c = 9g

timurjin [86]

Ivy is going to the fair with a friend. They will buy cotton candy. They buy 9 bags of it. Each bag cost 2 dollars . What is C the total cost of all the cotton candy if G=2?

4 0

3 years ago

Ty very much! Please help? :))

wlad13 [49]

Answer:

Exact Form: 

$\frac{8}{3}$