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3 years ago

Find x if segment A B is perpendicular to segment C D in the figure below.

Mathematics

2 answers:

Leokris [45]3 years ago

4 0

2(7x+27)=180

14x+54=180; subtract 54 from both sides

14x=126; divide both sides by 14

x=9

ki77a [65]3 years ago

3 0

If segment AB is perpendicular to segment CD, then a right angle (90°) is formed.

7x + 27 = 90

7x = 63

x = 9

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PLEASE HELP PLEASE SOLVE ALL!!!

VARVARA [1.3K]

Answer:

x= -6 | I only have an answer for #7 but you should use a website called Symbolab :)

Step-by-step explanation:

x+16+x+12+2x+15=19

group like terms:

4x+43=19

subtract 43 from both sides:

4x+43=19

-43 -43

simplify:

4x=-24

divided both sides by 4:

x=-6

4 0

2 years ago

{1,2,3,....} {1,2,3,.....,163} {14.7,14.6,14.5,...,0} {14.7,14.6,14.5,...}

JulijaS [17]

P(f), where f is the number of floors.

the domain of f goes from 1 to 163, then:

{1,2,3,.....,163}

is te right domain

4 0

3 years ago

-7d>105 what is the solution?

Jet001 [13]

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

3 0

3 years ago

Read 2 more answers

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

4 0

3 years ago

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Paul [167]

Answer:

20, and 26 are the middle - 23 is the average. Your answer is 23.

Step-by-step explanation:

So since they are in order from least to greatest, basically it's the middle one.

Since there is an even number and there isn't a middle one (like it is here) then, it is the average of the middle two.

6 0

3 years ago