In the accompanying diagram of rectangle ABCD, LaTeX: m\angle BAC=3x+4 m ∠ B A C = 3 x + 4 and LaTeX: m\angle ACD=x+28 m ∠ A C D = x + 28 .

Question

23-04-2018
Mathematics

contestada

In the accompanying diagram of rectangle ABCD, LaTeX: m\angle BAC=3x+4 m ∠ B A C = 3 x + 4 and LaTeX: m\angle ACD=x+28 m ∠ A C D = x + 28 .

Respuesta :

Otras preguntas

Two of these women were dressed like good bourgeoises of Paris. Their fine white ruffs; their petticoats of linsey- woolsey, striped red and blue; their white k

Wavelength is determined by dividing a wave's speed by its frequency. If a wave has a frequency of 1 hertz and a speed of 20 m/s, what is its wavelength? Select

When many passengers are flying from the United States to any country in Europe they have choices to make. Why do you think flying a Business class is more elas

Why were charters more successful at establishing settlements than England’s earlier attempts at colonization? They required all settlers to be financially well

Answer please! I need this!

Cartographers divide the world into hemispheres. The letter E on the map identifies the The line that divides the Western and Eastern Hemispheres is the The let

What is the independent variable in the equation y=-5x+2?

Describe the benefits to using tissue cultures to study medications used for treating cancer cells

Which statement best summarizes the central idea of this paragraph? Withholding information from the public is routine policy. Choosing a point of entry can be

Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the

Louli Louli · Answer 1 · 2018-04-23T16:22:43+02:00

Answer:
x = 12

Explanation:
In a rectangle, each two opposite sides are parallel.

Therefore, in rectangle ABCD:
AB would be parallel to CD

We know alternating angles formed within parallel lines are equal in measure.

In the given rectangle, we have:
∠ACD and ∠BAC are alternating angles, which means that they are equal.

Therefore:
∠ACD = ∠BAC
x + 28 = 3x + 4
28 - 4 = 3x - x
2x = 24
x = 12

We can check our solution:
∠ACD = 12 + 28 = 40°
∠BAC = 3(12) + 4 = 40°
They are equal

Hope this helps :)