All categories

3 years ago

Solve for x please help

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

x = 87

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Label the angles left and right of the right angle as "a" and "b". Then we have ...

a + b + 90 = 180

b = 90 - a . . . . subtract (90+a)

And we have a relation with the left exterior angle:

72 + a = 138

a = 138 -72 = 66 . . . . subtract 72

b = 90 -66 = 24 . . . . from above

And another relation with the right exterior angle:

(180 -x) +b = 117 . . . . . . the interior angle with "b" is the supplement of x

204 -x = 117 . . . . . . . . . substitute 24 for b

204 -117 = x = 87 . . . . add x-117

The measure of the angle marked x° is 87°.

You might be interested in

!!!What is 0.04666666 as a fraction!!!

mario62 [17]

Answer:

0.04666666 as a fraction equals 4666666/100000000

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

The number of basketball games that must be scheduled in a league with n teams is given by G(n) = (n2 - n)/2 where each team pla

Pani-rosa [81]

Answer:

There are 7 teams in the league

Step-by-step explanation:

Given that the number of games is given by:

$G(n) = \frac{(n^2-n)}{2}$

The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21

Putting this mathematically

$21 = \frac{n^2-n}{2}$

Multiplying equation by 2

$2*21 = 2*\frac{n^2-n}{2}\\42 = n^2-n\\n^2-n-42 = 0\\n^2-7n+6n-42 = 0\\n(n-7)+6(n-7) = 0\\(n-7)(n+6)=0\\n-7 = 0 => n=7\\n+6=0 => n=-6$

As the number of teams cannot be negative, the number of teams in league are 7.

Hence,

There are 7 teams in the league

3 0

3 years ago

The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8

Bumek [7]

Answer: 0.64

Step-by-step explanation:

Given : The heights of women aged 20 – 29 in the United States are approximately Normal with $\mu=64.2$ inches and $\sigma=2.8$ inches.

Let x denotes the height of women.

Since 1 feet = 12 inches

5.5 feet = $5.5\times12=66$ inches

Then, the z-score corresponds to x=66 inches will be :-

$z=\dfrac{66-64.2}{2.8}=0.642857142857\approx0.64$

Hence, the z ‑score for a woman 5.5 feet tall = 0.64

8 0

4 years ago

The binary operation* is defined on the set R of real numbers by X*Y = 3x + 3y - xy for all X , y E R. determine on the terms of

torisob [31]

Answer:

This is the Answer

Step-by-step explanation:

Pls mark as brainliest

3 0

2 years ago

You buy a container of cat litter for $11.50 and a bag of cat food for x dollars. The total purchase is $16.80, which includes 5

Anni [7]

let cat food = x

total plus 5% = 105% = 1.05

1.05 * (11.50 + X) = 16.80

12.075 + 1.05x = 16.80

1.05x = 16.80-12.075

1.05x = 4.725

x = 4.725 / 1.05

x= 4.50

the cat food cost $4.50

11.50 +4.50 = 16.00

16.00 * 0.05 = 0.80

16.00 + 0.80 = 16.80

7 0

4 years ago