Find h, assuming the triangles formed are similar.

Answer:

Arc BC is 64°

Step-by-step explanation:

The parameters given are;

∠CAB = 32°

We note that the measure of arc BC = ∠CDB

∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)

∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)

∠ACB = ∠DCB + ∠DCA

∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°

∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)

∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)

∠CDB  = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°

∠CDB  = Arc BC = 64°

Answer:

yes it is

Step-by-step explanation:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.

Numbers we can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6

A number can have MANY factors!

Example: What are the factors of 12?

• 3 × 4 = 12, so 3 and 4 are factors of 12

• 2 × 6 = 12, so 2 and 6 are also factors of 12

• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well

So 1, 2, 3, 4, 6 and 12 are all factors of 12

And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.

In Algebra, factors can be expressions like "x+3" etc

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Answer:

56w-7 56/7= 8 -7/7=-1

Step-by-step explanation:

8w-1 answer here

Answer:

b

Step-by-step explanation:

the triangles are all the same so they are congruent. They are also right triangles so they must be a right triangle the only answer that combine this is b

The green, orange and gray triangles are congruent and right triangles. Thus option B is correct.

Two triangles are congruent triangles if they are of same size and shape.

Right triangle is a triangle with one of angle 90°.

The given triangles of green, orange and gray triangles are of same shape and size . Therefore  we can say that they are congruent triangles

Also we can see that they all have right angle on the left corner therefore they are right triangles . If they are right triangles then they will be also acute triangles too as the some of other two angles of each triangle will be 90 it means they both are less than 90 and congruent means they are similar too as similar triangles have same shape.

Therefore the most appropriate option is Option B , that given triangles are congruent right triangles.

Also, Learn more about the congruent triangles from the given below link:

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Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )

x = - 3 ± 3[tex]\sqrt{3}[/tex]

x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a

Answer:

a

Step-by-step explanation:

Answer:

B. (x - 4)² + y² = 12

Step-by-step explanation:

Rewrite in standard form to find the center (h,k) and radius r.

Answer:

B?

Step-by-step explanation:

Answer:

4, 2, not have the same effect on, halves, 1/4

Step-by-step explanation:

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Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

We are given a right cone with;

radius = 2

height 6

volume is; V = ¹/₃π(2)²6 = 8π units³

If the height is now 3, then the new volume is;

¹/₃π(2)²3 = 4π units.

If the radius is now 1, then the new volume is;

¹/₃π(1)²6 = 2 units.

Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

Read more about Volume of Cone at; https://brainly.com/question/12004994

Answer:

(d) 60 kobo

Step-by-step explanation:

36 divided by 12 = 3

3 x 20 = 60

Hope this helps!

Answer:

1.2

Step-by-step explanation:

Answer:

it's •3

Step-by-step explanation:

1/100 × 300/1 =3

100 into 300 is 3

then equal to 3/1

any number over one is it self

Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

- The tree and its shadow formed a right angle triangle with legs

 x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

similar triangles

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

babyface17

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

Answer:

109.85 ft

Step-by-step explanation:

5.5'/ 4'10"=125 ft/x

5.5*12/(4*12+10)=125/x

66/58=125/x

x=125*58/66

x=109.85 ft

So the value of X is 3.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

The answer will be

2/16 + 5/8 = 3/4

Answer:

Undefined

Step-by-step explanation:

Slope of CD

[tex] = \frac{8 - ( - 7)}{4 - 4} = \frac{8 + 7}{0} = \infty \\ [/tex]

Hence, Slope of CD is undefined.

Answer:

  B.  One

Step-by-step explanation:

The lines have different slopes, so they must intersect at exactly one point.

There is One solution to this system.

_____

If you solve the first equation for y, you get ...

  y = (5/2)x +2

This has a different slope (x-coefficient) than the second equation does, but it has the same y-intercept. That y-intercept is the point of intersection of the lines, hence the solution: (x, y) = (0, 2).

Answer: A

Step-by-step explanation:

The missing angle is <CVB.

An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".

We have m < AVC = 39

and, m <VCB = 23

Thus, by adding the above angle we get the whole angle AVB.

Sp. m< AVB = m <AVC + <VCB

m <AVB = 23 + 39

m <AVB = 62

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Answer:

p = {0, -1.095445115, 1.095445115}Step-by-step explanation:

Answer:

30p^3-36p. Also, my day was niceeeee.

Step-by-step explanation:

To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.

Answer:

they are corresponding angles

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

(6-10i)(6+10i)

36 +60i - 60i - 100i²

36 - 100i² (i² = -1)

36 + 100

136

Answer: 136

Step-by-step explanation:

First, we need to find the conjugate before we can find the product of the conjugate and 6-10i.

The conjugate is the binomial with an opposite sign.

6+10i

Now that we have our conjugate, we can find the product.

(6-10i)(6+10i)                          [distribute the factors, FOIL method]

36+60i-60i-100i²                   [combine like terms]

36-100i²                                  [i²=-1]

36-100(-1)                               [multiply and subtract]

36+100=136

Our product is 136.

Answer:

The correct answer is D.

Step-by-step explanation:

hope it works out !!

Answer:

its A

Step-by-step explanation:

i just did it

Answer:

7959.83

Step-by-step explanation:

A = P ( 1+r/n)^ nt

Where A is the amount in the account

P is the principal

r is the rate

n is the number of compoundings per year

t is the years

A =3000 ( 1+.10/2)^ 2*10

A =3000 ( 1+.05)^ 20

   =7959.83

Answer:

$66,000

Step-by-step explanation:

if they earn 6,000 every year and  another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.

The value of X is 92.

please see the attached picture for full solution

Hope it helps

Answer:

A) $90.60

B)$304

C)$394.60

D)$304

Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.

B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.

C) Add the answers to both A and C and you get $394.6

D) Refer back to B

Answer:

B. $57.00

Step-by-step explanation:

The totals add up to just under $55.00, so an overestimate would be $57.00

Answer:

hope this is correct

The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.

The sum of the sequence can be calculated by the formula

[tex]S_n = n/2(2a +(n-1)d)[/tex]

where a is the first term, d is the common difference

To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...

[tex]S_n = n/2(2a +(n-1)d)[/tex]

here, a = 18

d = 21 - 18 = 3

n = 50

[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]

Thus, the sum of the first 50 terms in the sequence is 4575.

Learn more about sequence ;

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Answer:

4. [tex]\frac{13}{23}[/tex]

5. [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

4. The relative frequency is how often it happens divided by the whole number of outcomes.

In this case it would be [tex]\frac{13}{23}[/tex]

5. Find the relative frequency again:

[tex]\frac{12}{28}=\frac{4}{7}[/tex]

Answer:

3rd,5th,6th

Step-by-step explanation:

complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.

Hope this helps!

Answer:

Step-by-step explanation:

3rd option

x=10

angle ABD + angle DBC = 90

ie 5x + 40= 90

5x=90-40

5x=50

x=10

5th option

both are complementary angles

as  they are sum is 90 degree

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Answer:

f(6) = 24

Step-by-step explanation:

f(x) = x^2 - 2x

    Let x = 6

f(6) = 6^2 - 2(6)

     = 36 - 12

     = 24

[tex]\text{Plug in 6 to x:}\\\\f(6) = (6)^2-2(6)\\\\\text{Solve:}\\\\f(6) = (6)^2-2(6)\\\\f(6) = 36-2(6)\\\\f(6) = 36-12\\\\\boxed{f(6)=24}[/tex]

Answer

D (12)

Step-by-step explanation:

60-20=40

40-18=22

22-10=12