AC and DB are chords that intersect at point H. A circle is shown. Chords A C and D B intersect at point H. The length of A H is 20 minus x, the length of H B is 12 minus x, the length of D H is x + 4, and the length of H C is x. What is the length of line segment DB?

Answer:

Centimeters are smaller than kilometers

Step-by-step explanation:

Remember:

Step-by-step explanation:

x+y=12-----1

xt=32-----2

from 1,

x=12-y-----3

sub 3 into 2

(12-y) y=32

12y-y²=32

y²-12y+32=0

(y-8)(y-4)=0"factorise"

y=8,y=4

sub y =8 into 1,

x+8=12

x=4

sub y =4 into 1

x+4=12

x=8

conclusion,

when x=4,then y=8

when x=8,theb y =4

Answer:

x = 4, y = 8 or x = 8, y = 4

Step-by-step explanation:

Given the 2 equations

x + y = 12 → (1)

xy = 32 → (2)

From 2

y = [tex]\frac{32}{x}[/tex]

Substitute y = [tex]\frac{32}{x}[/tex] into (1)

x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )

x² + 32 = 12x ( subtract 12x from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

Substitute these values into (1) for corresponding values of y

x = 4  : 4 + y = 12 ⇒ y = 8

x = 8 : 8 + 4 = 12 ⇒ y = 4

Answer:

the answer is C

Step-by-step explanation:

it it can be calculated by using simple quadratic formula

Answer:

X will be equal to 36 degrees.

Step-by-step explanation:

A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.

180-108 = 72

72 / 2 = 36

Therefore, x is equal to 36 degrees.

Hopefully this helps :)

Answer:

41.67hrs

Step-by-step explanation:

if the snail moves 0.12km in 1hr

the snail will move 5km in Xhrs

0.12 × X = 5 × 1

0.12X= 5

X= 5/0.12 = 41.67hrs

Answer:

41.76 hours

Step-by-step explanation:

I feel bad so i did the math. Good Luck! hope you get it right!

Answer:

4

Step-by-step explanation:

First we need to find the difference by subtracting. 49-13 = 36

Then we fine one-ninth of 36. We do this by dividing 36 by 9

36 divided by 9 is 4.

Answer:

12 maybe the ANSWER.

hope it helps you

Answer:

Range = (-∞ , 6]

Step-by-step explanation:

Write down the inequality and then solve it to get the required solution.

Let's say "x" is the certain number.

4 + 3x <= 2x + 10

x <= 6

That's it, Best Regards!

Answer:

Step-by-step explanation:

The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.

m = Δy/Δx = y₂-y₁/x₂-x₁

Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁  = -4 and y₂ = 6

m = 6-(-1)/1-(-1)

m = 7/2

To get  c, we will substoute the slope and any of the point given into the equation of a line as shown;

Using tyhe point (1, 6) and m = 7/2

6 = 7/2(1)+c

6 = 7/2 + c

c = 6-7/2

c = 5/2

The equation of the line will be y = 7/2 x + 5/2

Answer:

120 sweets altogether

Answer:

H

Step-by-step explanation:

If we look at the green line (x ≥ 3) we know that the solution must be shaded to the right of the line. The only region out of all of our answer choices that satisfies this is H.

Answer:

50.4525

Step-by-step explanation:

4^(√8)

4^(2.82842712475)

= 50.452514

Round up to nearest ten thousandths.

Complete Question:

Find both the vector equation and the parametric equations of the line through ​(0​,0​,0​) that is perpendicular to both [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] where t = 0 corresponds to the first given point.

Answer:

Vector equation: (x, y, z) = (0, 0, 0) + t ( u x w)

Parametric equation:

x = -2t

y = -4t

z = 2t

Step-by-step explanation:

Since the line is perpendicular to  [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] , we will find the cross product of u and w

[tex]u \times w = \left[\begin{array}{ccc}i&j&k\\2&0&2\\-2&1&0\end{array}\right] \\\\u \times w = i(0-2) -j(0+4) + k(2)\\\\u \times w = -2i - 4j + 2k\\\\u \times w = < -2, -4, 2>[/tex]

The equation of the line can be given by:

(x, y, z) = (0, 0, 0) + t ( u x w)

(x, y, z) = (0, 0, 0) + t < -2, -4, 2 >

x = -2t, y = -4t, z = 2t

The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex].

Vectorially speaking, the equation of the line is defined by the following formula:

[tex]\vec r = \vec O + t\cdot \vec l[/tex] (1)

Where:

Since [tex]\vec l[/tex] must be perpendicular both to [tex]\vec u[/tex] and [tex]\vec v[/tex], then we must apply cross product:

[tex]\vec l = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&0&2\\2&1&0\end{array}\right|[/tex]

[tex]\vec l = \langle -2, 4, 2\rangle[/tex] (2)

Then, we have the following equation of the line: ([tex]\vec O = \langle 0,0,0 \rangle[/tex],  [tex]\vec l = \langle -2, 4, 2\rangle[/tex])

[tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex]  (3)

And the parametric equations are, respectively:

[tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex] (4)

The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex]. [tex]\blacksquare[/tex]

The statement presents typing mistakes and is poorly formatted. Correct form is shown below:

Find both vector equation and the parametric equations of the line through (0, 0, 0) that is perpendicular to the following two vectors: [tex]\vec u = \langle 2, 0, 2 \rangle[/tex], [tex]\vec v = (2, 1, 0)[/tex].

To learn more on line equations, we kindly invite to check this verified question: https://brainly.com/question/2564656

Answer:

ryan  had a head start of 10 meters.

Step-by-step explanation:

Answer:

A) Ryan

B) 10

Step-by-step explanation:

the answer is 2. see attached for step-by-step instructions. hope that helps!

Hey there! :)

Answer:

2nd choice.

Step-by-step explanation:

Given:

630 = 42f.

Divide both sides by 42 to solve for f:

630/42 = 42f/42

f = $15.

This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:

The second choice is correct. The number line has a single point at f = 15.

The radius goes from the center to the edge of the circle.

The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle

The circumference is the distance around the circle. Think of it as the perimeter of the circle.

Answer:

47.5

Step-by-step explanation:

just took the test

The measure of angle EFD is 47.5°

An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.

Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,

So,

we know that the arc formed by the central angle is equal to is measure.

∴ arc ED = ∠ECD

∠ECD = 95°

Now,

According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.

therefore,

∠ECD/2 = ∠EFD

∠EFD = 95/2

∠EFD = 47.5°

Hence the measure of angle EFD is 47.5°

Learn more about inscribed angle click;

https://brainly.com/question/16475520

#SPJ5

Answer:

salt & vinegar : ready salted : cheese and onion

2                               3                      2

Step-by-step explanation:

salt & vinegar : ready salted : cheese and onion

6                               9                      6

Divide each by 3

salt & vinegar : ready salted : cheese and onion

6 /3                           9/3                      6/3

2                                    3                         2

Answer:

2:3:2

Step-by-step explanation:

Salt and Vinegar:  6

Ready Salted:  9

Cheese and Onion: 6

Put numbers in for the corresponding type:

Salt and Vinegar : Ready Salted : Cheese and Onion

6:9:6

All numbers share a common factor of 3.

Divide all the numbers by 3 to find simplest form.

2:3:2

Answer:

A

Step-by-step explanation:

A

Answer:

an altitude

Step-by-step explanation:

its is correct

Answer:

Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."

Answer:

x = 0, 2

Step-by-step explanation:

Step 1: Factor out GCF

2x(x - 2) = 0

Step 2: Divide both sides by 2

x(x - 2) = 0

Step 3: Solve for roots

x = 0

x - 2 = 0

x = 2

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

[tex](3 \times x) + (5 \times y) = 9600[/tex]

[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]

[tex](6120) + (5 \times x) = 9600[/tex]

[tex](5 \times x) = 9600 - 6120[/tex]

[tex](5 \times x) = 3480[/tex]

[tex]x = 3480 \div 5[/tex]

[tex]x = 696[/tex]

HOPE IT HELPS

#PEACE

Answer:

A. I and II, only

Step-by-step explanation:

y = x

Switch variables.

x = y

y = 1/x

Switch variables.

x = 1/y

1/x = y

y = x²

Switch variables.

x = y²

±√x = y

y = x³

Switch variables.

x = y³

∛x = y

Answer:

  no

Step-by-step explanation:

The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.

Answer:

254 cm²

Step-by-step explanation:

Calculate first  the total area

A = 30*20 = 600 cm²

Then calculate the area of the cercle

A= 10.5²*π = 346.36≈346 cm²

Then substract the area of the circle from the total one:

600-346= 254 cm²

Answer:

The area of the quadrilateral B-H-G-E is 7

Step-by-step explanation:

The area of the parallelogram = 60  

It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S

Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A  where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S

ΔB-F-H is similar to ΔD-B_A scaled to 1/2,

Therefore;

The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,

ΔF-C-D = 1/4×S

ΔE-A-D = 1/4×S

The area of the quadrilateral B_H_G_E found as follows;

Area B_H_G_E  = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)

Area B_H_G_E  = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S

Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;

Area B_H G_E  = 7/60×60 = 7

Answer:

y = 4/5x

Step-by-step explanation:

We have a slope of 4/5 and a point of (0,0)

Using the slope intercept form of a line

y = mx+b

y = 4/5 x +b

Substituting the point into the equation

0 = -1/2(0) +b

0 = 0+b

0 = b

The equation of the line is

y = 4/5x+0

Answer:

V = [tex]\frac{3.14r^3}{12}[/tex]

Step-by-step explanation:

Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]

But, Given that radius of cone = r/2 of the cylinder

And,

Height of cone = Radius of cylinder i.e. h = r

Putting this in the above formula.

=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]

=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]

=> V = [tex]\frac{3.14r^3}{12}[/tex]

Answer:

(1/12) Pi r^3     option C on plato

Step-by-step explanation:

r = radius of the cylinder

V = (1/3)Pi c^2 h for a cone.

and c = r/2 and h = u

so Volume of the cone is (1/12) Pi r^3

Answer:

A. A = (3w - 5) * w

B. 2 feet squared

Explanation:

A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:

A = (3w - 5) * w

——————————

B. Plug in 2 for w using the given rule.

A = (3[2] - 5) * (2)

Distribute

(6 - 5) * 2

Subtract 5 from 6

1 * 2 = 2

The answer is 2 feet squared since this is area.

Answer: n=6

Step-by-step explanation:

To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.

[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]

[tex]3=\frac{1}2}n[/tex]                  [multiply both sides by 2]

[tex]n=6[/tex]