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3 years ago

Angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I

Mathematics

2 answers:

Afina-wow [57]3 years ago

8 0

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

photoshop1234 [79]3 years ago

4 0

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

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Which expression represents the number 13,809 written in expanded form?

Brums [2.3K]

The answer is D and not b because it’s not 90 it’s 09

4 0

4 years ago

Help!! algebra two!! c-h :)

kotegsom [21]

Answer:

c. (2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)²

d. (w - 1)(1 + w + w²) =  w³ - 1

e. a² - 16 = (a + 4)(a - 4)

f. (2x + 5y)(2x - 5y) = 4x² - 25y²

g. (2²¹ - 1)(2²¹ + 1) = 2⁴² - 1

h. [(x - y) - 3][(x - y) + 3] = (x - y)² - 9

Step-by-step explanation:

c. Although this expression, when squared, is really 4x² + 12xy + 9y², they just splitted it up into several more terms. In this last blank should be a 9y², but instead, they took the square root of the term, which is 3y, and set the square outside of the parentheses.

*I bet that was what made it confusing, but have no fear. The mathematics tutor is here.

d. This is similar to the Quadratic Equation [y = Ax² + Bx + C] where you can, what I like to call... FOIL it, however, you have an extended amount of terms. Although you still have to FOIL it, it is just a unique procedure. This time, you have to one-by-one, take each term in the first set of parentheses [-1 and w] and multiply them by the second all three terms in the second set of parentheses.

e. This is a piece of cake because we know BOTH square roots of 16 and we are multiplying what are called conjugates.

f. Again, we are multiplying conjugates, so we just multiply the first and last two terms in each set of parentheses.

g. Again, we are multiplying conjugates EXCEPT now, we have exponents in each set of parentheses. Whenever you multiply terms, you add the exponents and your base remains the same, which is what you see in the above answer.

h. For the final exercise, we are multiplying conjugates again, and we obviously can see what fills that blank because there are TWO IDENTICAL EXPRESSIONS that are being multiplied, which in this case are being "squared", and that expression is x - y. It appears twice, so that is a giveaway.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**Conjugates are IDENTICAL expressions with OPPOSITE operation symbols. Whenever you multiply conjugates, just add the first and last two terms in both sets of parentheses because when you FOIL, the midst term will ALWAYS result in zero.

8 0

4 years ago

Find the equation of the line of the circle passing through the points (1,2) (3,-4) (5,-6)

Cerrena [4.2K]

Answer:

(x-11)² + (y-2)² = 10²

Step-by-step explanation:

Given circle passes through

P(1,2), Q(3,-4), R(5,-6)

Assume following circle with centre O(a,b) and radius r contains P,Q,R.

(x-a)²+(y-b)² = r^2 ...........(1)

Substitute P in (1) and expand, simplify

(1-a)²+(2-b)²=r²

a²+b² -2a-4b+5-r²=0 .......(2)

Similarly, substitute Q in (1) and expand, simplify

(3-a)²+(-4-b)² = r²

a²+b²-6a+8b+25-r²=0 ...........(3)

Similarly, substitute R in (1) and expand, simplify

(5-a)²+(-6-b)² = r²

a²+b²-10a+12b+61-r²=0 ...........(4)

We can now eliminate a^2 and b^2 by simple subtractions

(2) - (3)

4a-12b-20 = 0 ..........(5)

(3) - (4)

4a-4b-36 = 0 .............(6)

Finally, (6) - (5) and solve for b

8b - 16 = 0

b=2 ..............................(7)

substitute b in (5) and solve for a

4a-12(2) -20 =0

4a=44

a=11 ................................(8)

Finally, substitute a & b in (2) to solve for r

r^2 = 11²+2²-2*11-4*2+5 = 121+4-22-8+5 = 100

r=sqrt(100) = 10 (positive value only)

therefore the equation of the circle is

(x-11)² + (y-2)² = 10²

6 0

3 years ago

In 1983, a winter hat cost $12.95. Today, a winter hat costs $24.50. If the CPI is 219, what is the percent relation of the actu

AnnZ [28]

Answer:

The actual price is 13.6 % lower than the expected price....

Step-by-step explanation:

Lets suppose the expected price = x

CPI = ( expected price ) : ( price in 1983 ) *100

219 = ( x : 12.95 ) *100

Divide both sides by 100.

x : 12.95 = 2.19

x =2.19*12.95

= $28.36 ( expected price )

p = ( 24.50*100 ) / 28.36

p= 2450/28.36

= 86.4 %

100 % - 86.4 % = 13.6 %

The actual price is 13.6 % lower than the expected price....

4 0

4 years ago

What information must you have to write a polynomial function having all real roots given its graph?

Pepsi [2]

You need to know: how many roots there are IS THE ANSWER to your question

3 0

3 years ago

Read 2 more answers