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3 years ago

Find the value of x.

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

$\large \mathfrak{Solution : }$

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

$(x + 90)\degree = 4x\degree$

$(4x - x) \degree= 90\degree$

$3x\degree = 90\degree$

$x\degree = \dfrac{90\degree}{3\degree}$

$x\degree = 30\degree$

lianna [129]3 years ago

7 0

Answer:

Step-by-step explanation:

4x = x+90 ( being vertically opposite angles )

or, 4x - x = 90

or, 3x = 90

or, x = 90/3

or, x = 30

∴ x = 30

4x = 4*30 = 120

x + 90 = 30 + 90 = 120

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Need help with this??? Please!!!

Radda [10]

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

3 0

3 years ago

A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The length of its base must be twice the width

KengaRu [80]

Answer:

Width=2.2 FT

Length=4.4 FT

Heigh= 4 FT

Step-by-step explanation:

5 0

3 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

1 year ago

A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b

zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base / Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0

2 years ago

The part (aka "is") = 8 and the percent is 42, what is the whole (aka

marysya [2.9K]

Answer:

Step-by-step explanation:

If you simplify what the question is saying, it's basically..

8 is 24% of <u>what number?</u>

To find out, you can simply set up an equation.

((24% = 0.24 as a decimal (move the decimal point two times to the left))

8 = 0.24 x N (N is just the 'whole')

To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.

The question says to round to the nearest whole number, so the answer would just be 33.

8 0

3 years ago