All categories

3 years ago

A quadrilateral has angles that measure 101°, 133°, and 76°. What is the measure of the fourth angle?

2 answers:

7 0

Quadrilateral has to equal 360 degrees.

So simply subtract.

360 - 101 - 133 - 76 equals... 50

Then you can add to see if they all equal 360.

101 + 133 + 76 + 50 = 360

So the answer is 50.

Hope this helps. c:

hjlf3 years ago

7 0

The sum of angles in a quadrilateral = 360 degrees.

Let the fourth angle be y

101 + 133 + 76 + y = 360

310 + y = 360

y = 360 - 310

y =50

Therefore the fourth angle is 50°

Hope this explains it.

You might be interested in

If light travels at 3. 108 m/s and its frequency is 6. 1015 Hz, then its wavelength is:

Sergio039 [100]

Answer:

$5 * 10^{-8} m$

Step-by-step explanation:

The speed of light is $3 * 10^8 m/s$ and its frequency is $6 * 10^{15} Hz$ .

The speed of light is given as:

c = λ * f

where λ = wavelength of light

f = frequency of light

Therefore, the wavelength is given as:

λ = c / f

=> λ = $\frac{3 * 10^8}{6 * 10^{15}}$

=> λ = $5 * 10^{-8} m$

The wavelength of the light is $5 * 10^{-8} m$

7 0

2 years ago

Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch

enot [183]

Answer:

$y=\frac{-7t^2+22t-7}{7t-22}$

Step-by-step explanation:

We are given that

Initial value problem

$y'=(t+y)^2-1$ , y(3)=4

Substitute the value $z=t+y$

When t=3 and y=4 then

z=3+4=7

$y'=z^2-1$

Differentiate z w.r.t t

Then, we get

$\frac{dz}{dt}=1+y'$

$z'=1+z^2-1=z^2$

$z^{-2}dz=dt$

Integrate on both sides

$-\frac{1}{z}dz=t+C$

$z=-\frac{1}{t+C}$

Substitute t=3 and z=7

Then, we get

$7=-\frac{1}{3+C}$

$21+7C=-1$

$7C=-1-21=-22$

$C=-\frac{22}{7}$

Substitute the value of C then we get

$z=-\frac{1}{t-\frac{22}{7}}$

$z=\frac{-7}{7t-22}$

$y=z-t$

$y=\frac{-7}{7t-22}-t$

$y=\frac{-7-7t^2+22t}{7t-22}$

$y=\frac{-7t^2+22t-7}{7t-22}$

8 0

3 years ago

if 8 and 15 are two smallest values in a pythagorean triple, what is the largest value, c, in the triple

GaryK [48]

Answer:

c = 17

Step-by-step explanation:

Use the Pythagorean Theorem to solve this problem.

The equation is a² + b² = c².

"a" and "b" are the length of the two shorter sides or values.

"c" is the length of the longest side or value, also the hypotenuse.

Since we know the two smaller values, we can replace "a" and "b" with 8 and 15. It does not matter which letter you decide to replace with which number.

Then simplify and isolate "c" to find the largest value.

a² + b² = c²

8² + 15² = c² Substitute "a" and "b". Square the numbers to simplify

64 + 225 = c² Add to simplify

289 = c²

√289 = √c² Square root both sides

√289 = c "c" will be isolated because √ and ² are reverse operations

c = √289 Put 'c' on the left side for standard formatting.

c = 17 Answer

Therefore the largest value, c, is 17 in the triple.

6 0

3 years ago

Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) +

xxMikexx [17]

Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A light bulb company produces a constant number of new light bulbs in their factory each week, and stores them in a warehouse wh

SIZIF [17.4K]

Answer:

y - 15000 = 12500(x-3)

7 0

2 years ago