All categories

2 years ago

Given: a||b, and c||d, m∠4=45° Find: the measures of angles 1, 2, and 3

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

Answer:

<2=45 degrees

Step-by-step explanation:

You might be interested in

Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1). y = -2x + 7 y = -2x +

Vilka [71]

Y - y₁ = m(x - x₁)
y - 1 = -2(x - 3)
y - 1 = -2(x) + 2(3)
y - 1 = -2x + 6
+ 1 + 1
y = -2x + 7

The answer is A.

7 0

3 years ago

A storage pod has a rectangular floor that measures 21 feet by 9 feet and a flat ceiling that is 7 feet above the floor. Find th

mario62 [17]

Answer:

area: 189 ft²
volume: 1323 ft³

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

4 0

2 years ago

Dy/dx= y^4 and y(2)= -1. Y(-1)=

cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

$\dfrac{dy}{dx} = y^4$

and with initial condition y(2) = -1.

The differential equation is separable:

$\dfrac{dy}{y^4} = dx$

Integrate both sides:

$\displaystyle \int \frac{dy}{y^4} = \int dx$

$-\dfrac1{3y^3} = x + C$

Solve for y :

$\dfrac1{3y^3} = -x + C$

$3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}$

$y^3 = -\dfrac1{3x+C}$

$y = -\dfrac1{\sqrt[3]{3x+C}}$

Use the initial condition to solve for C :

$y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5$

Then the particular solution to the differential equation is

$y(x) = -\dfrac1{\sqrt[3]{3x-5}}$

and so

$y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}$

6 0

2 years ago

Add:(3x2 - 5x + 6) + (9 - 8x - 4x2)

finlep [7]

You can see by the image how did I get the answer

3 0

3 years ago

If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in the direction of the y-axi

Troyanec [42]

Answer:

hey buddy im gona help you!

Step-by-step explanation:

3 0

2 years ago