All categories

3 years ago

70 239 Answer: 2 Submit Answer IN MAJOR NEED OF HELP QUICK

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

X = 67°

Step-by-step explanation:

The sum of every triangle’s interior angles is 180°. First subtract the given angle, 23°, from 180°. This equals 157°. Next you can see that one of the triangle’s angles has a right angle mark. This mark means it’s a right angle and all right angles are 90°. Take 157° and subtract 90°. This equals 67°. This means the remaining angle equals 67°.

You might be interested in

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

What’s 4+5+6+7+8. Plzzzzzzzz

irina1246 [14]

It's 30

Hope that helped!

8 0

3 years ago

Read 2 more answers

Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical term

antiseptic1488 [7]

A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.

6 0

3 years ago

The salary of two governing bodies in 2008 was $169.3 thousand, and has increased by approximately $4 thousand per year since th

IceJOKER [234]

Answer:

Step-by-step explanation:

Find, find the total increase in salary for 7 years;

If 1 year = $4,000

7 years = ?

=7*4000

=28,000 in total

Original salary = $169,300

Add the total increase in salary to the original salary;

169,300 + 28,000 = 197,300

Therefore, in 7 years, the salary would be $197,300

4 0

3 years ago

Follow the steps to finish solving the equation –3x + 18 = 7x.

marta [7]

-3x + 18 = 7x
3x + (-3x) + 18= 7x + 3x
18 = 10x

18 10x
— = —
10 10

1.8 = x

4 0

3 years ago