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3 years ago

Given: ∠1 and ∠2 are complementary angles.Prove: ∠3 and ∠4 are complementary angles.

Mathematics

2 answers:

ASHA 777 [7]3 years ago

4 0

Answer:

Two angles are called complementary when their measures add to 90 degrees. ∠1 is 60 degrees ∠2 is 30 degrees so if you add it up, the answer is 90 degrees.

∠4 + ∠3 = answer has to be 90 degrees to call it a complementary angle

30 degrees + 60 degrees = 90 degrees

Gennadij [26K]3 years ago

3 0

Answer:

If I had to pick between these, it would be definition of complementary angles.

Hope this helps!

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A coordinate plane with a line drawn passing through the points (0, 3) and (3, 2).

Margaret [11]

Answer:

None of the equations given is the equation of the function. The correct equation is: $y=-\frac{x}{3}+3\\$

Step-by-step explanation:

First we must find the slope of the line that passes through these points.

The slope between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where $m$ is the slope

In this case since we have the points: $(0, 3)$ and $(3, 2).$

$x_{1}=0\\y_{1}=3\\x_{2}=3\\y_{2}=2$

and the slope will be:

$m=\frac{2-3}{3-0}=\frac{-1}{3}$

and now we have the slope we use the slope-point equation:

$y=m(x-x_{1})+y_{1}$

$y=-\frac{1}{3}(x-0)+3\\ y=-\frac{x}{3}+3\\$

7 0

4 years ago

Read 2 more answers

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

zavuch27 [327]

Answer:

(–1, 1)

(4, –2)

Step-by-step explanation:

Let

(x,y) ----> the coordinates of point C

Applying the Pythagoras Theorem

$(-1-4)^2+(-2-1)^2=(x-4)^2+(y-1)^2+(x+1)^2+(y+2)^2$

step 1

Find the possibles values of x

$(-1-4)^2=(x-4)^2+(x+1)^2\\\\25=x^{2}-8x+16+x^{2}+2x+1\\\\2x^{2}-6x-8=0$

Simplify

$x^{2}-3x-4=0$

Solve the quadratic equation

$x^{2}-3x-4=(x+1)(x-4)$

The values of x are

x=-1 and x=4

step 2

Find the possibles values of y

$(-2-1)^2=((y-1)^2+(y+2)^2\\\\9=y^{2}-2y+1+y^{2}+4y+4\\\\2y^{2}+2y-4=0$

Simplify

$y^{2}+y-2=0$

Solve the quadratic equation

$y^{2}+y-2=(y+2)(y-1)$

The values of y are

y=-2, y=1

therefore

The possibles coordinates of point C are

(-1,1),(4,-2)

3 0

3 years ago

Read 2 more answers

What is the value of this expression when t= -12?

Anettt [7]

Answer:

Step-by-step explanation:

5 0

4 years ago

A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,

Phoenix [80]

9514 1404 393

Answer:

$48,000 to start, with 6% raises

Step-by-step explanation:

The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.

The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...

S = s((1+r)^6 -1)/r

Here are the total earnings, in thousands, for each of the offers:

a) s = 49, r = .03, S = 316.95

b) s = 51, r = .01, S = 313.75

c) s = 48, r = .06, S = 334.82 . . . . best offer

d) s = 50, r = .02, S = 315.41

The worker can earn the most from a starting salary of $48,000 and 6% increases each year.

7 0

3 years ago

Read 2 more answers

All equations are identies, but not all identies are equations <br><br> True or False

geniusboy [140]

ANSWER: It is false that All equations are identities, but not all identities are equations, as all identities are equations, but only some equations are identities.

HOPE THIS HELP

5 0

3 years ago