A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected?

Answer:

32 x 150 = A = 2 x 2 = c + b = 254

Step-by-step explanation:

Answer:

  A.1: ∠BAC ≅ ∠BDC ≅ ∠EDF, ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF

  A.2: ∠1 ≅ ∠4, ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6

  A.3: ∠2 ≅ ∠3

  B.1: ∠ACD ≅ ∠CAB, ∠CDA ≅ ∠ABC, ∠DAC ≅ ∠BCA

  B.2: ∠1 ≅ ∠3 ≅ ∠5, ∠2 ≅ ∠4 ≅ ∠6

  see "additional comment" regarding listing pairs

Step-by-step explanation:

There are a number of ways angles can be identified as congruent. In each case, the converse of the proposition is also true.

In these exercises, pairs of angles need to be examined to see which of these relations may apply.

__

Left

ABCD is a parallelogram, so the congruent angles are opposite angles and any that are vertical or corresponding:

  ∠BAC ≅ ∠BDC ≅ ∠EDF ≅ 110° (3 pairs)

  ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF ≅ 70° (6 pairs)

Center

  ∠1 ≅ ∠4 ≅ 66° (1 pair) . . . . vertical angles

  ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6 ≅ 57° (6 pairs) . . . . marked with the same measure, and their vertical angles

Right

Assuming that lines appearing to go in the same direction actually do go in the same direction, the only pair of congruent angles in the figure is ...

  ∠2 ≅ ∠3

__

Left

Corresponding angles in congruent triangles are congruent. Here, the congruent triangles are ΔACD ≅ ΔCAB. So, the pairs of congruent angles are ...

  ∠ACD ≅ ∠CAB (30°)

  ∠CDA ≅ ∠ABC (90°)

  ∠DAC ≅ ∠BCA (60°)

Right

The corresponding angles and any vertical angles are congruent. This means all the odd-numbered angles in the figure are congruent, and all the even-numbered angles in the figure are congruent. The marked 72° angles show the "horizontal" segments are parallel by the converse of the corresponding angles theorem.

  ∠1 ≅ ∠3 ≅ ∠5 (72°) (3 pairs)

  ∠2 ≅ ∠4 ≅ ∠6 (108°) (3 pairs)

_____

Additional comment

The question asks you to list pairs of congruent angles. When 3 things are congruent, they can be arranged in 3 pairs:

  a ≅ b ≅ c   ⇒   (a≅b), (a≅c), (b≅c)

Similarly, when 4 things are congruent, they can be arranged in 6 pairs:

  a ≅ b ≅ c ≅ d   ⇒   (a≅b), (a≅c), (a≅d), (b≅c), (b≅d), (c≅d)

In the above, we have elected not to list all of the pairs, but to list the set of congruences from which pairs can be chosen.

Answer:

What is the question? You have put a statement or objective

The correct answer is :

[tex]\frac{13}{50}[/tex]

Answer:

the fort effyh v answer is A duhhhhhh

Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*

180* - 160* = 20*


Answer: x = 20*

Answer:

Answer: OD 81007 in.2

Step-by-step explanation:

Use formula for area of circle, which is A = πr²

The radius is squared, so if the radius or a new circle is 6 times larger (multiplied by 6), the difference in area will be 36 times greater.  So the area is

225π(36) = 8,100π

Answer:

D) [tex]8100\pi[/tex] in²

Step-by-step explanation:

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Question:

A circle has an area of 225[tex]\pi[/tex] square inches.  If the radius of the circle is multiplied by 6, then what is the area of the new circle?

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area of a circle = [tex]\pi r^2[/tex]   (where r is the radius)

⇒ [tex]\pi r^2=225\pi[/tex] in²

If the radius is multiplied by 6, then r = 6r

⇒ area = [tex]\pi (6r)^2=36\pi r^2[/tex]

Therefore, if [tex]\pi r^2=225\pi[/tex]

then [tex]36\pi r^2 = 36 \times 225\pi =8100\pi[/tex]

Answer:

3291÷500 or 6.582

Step-by-step explanation:

98.73 divide by 15 = 6.582

Answer:

53

Step-by-step explanation:

It is either an alternate angle or an opposite angle of the 53 shown.

We know that angles on a straight line add up to 180, so:

53+x=180

x=180-53

x=127

We know that the indicated angle plus x would give 180, so:

?+x=180

?+127=180

?=180-127

?=53

Answer:

4588 [in²].

Step-by-step explanation:

1) the given octagon can be imagined as 8 triangles (see the attachment). In order to calculate the required area of the octagon, it is enough to calculate the area of one triangle then increase it 8 times:

2) area of one triangle is:

37*31/2 [in²].

3) the required area of the octagon is:

31*37*8/2=31*37*4=4588 [in²].

Answer:

What is the meaning of principle of contradiction?

The principle of contradiction expresses the metaphysical and logical opposition between being and its negation. ... Formulated in the logical order, it asserts that it is impossible to affirm and at the same time deny the same predicate of the same subject.

Step-by-step explanation:

Answer:

A = -81

B = 4/9

Step-by-step explanation:

An equation that has infinite solutions suggests that the left side equals the right side.

Expand brackets:

      [tex]\dfrac23(12-Ax)-4 = 9(6 x + B)[/tex]

[tex]\implies 4-\dfrac23Ax = 54x+9B[/tex]

Equate coefficients of x:

[tex]\implies -\dfrac23A=54[/tex]

[tex]\implies A=-81[/tex]

Equate constants:

[tex]\implies 4=9B[/tex]

[tex]\implies B=\dfrac49[/tex]

Answer: -47/42x

Step-by-step explanation:

-1/6x -9/7

LCD:

6(7) =42

x[ 7\7(-1/6) -6\6(9/7)]

x . -61/42

= -61/42x

Answer:

x = 2 and y = 3

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

3x + 2(0) = 6

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) + 2y = 6

0 + 2y = 6

2y = 6 ( divide both sides by 2 )

y = 3 ← y- intercept

Answer:

x=31 <B=112

Step-by-step explanation:

I'm super lazy so I won't give a thorough explanation, but this should explain it all.

Opposite angles on parallelograms are congruent

Answer:

650 milimeters

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]

Step-by-step explanation:

Interchange the variables:

x = y - 4 - [tex]\frac{y}{3} +2[/tex]

Solve for y:
[tex]y=\frac{3x}{2} +3[/tex]

Replace y with [tex]f^{-1} (x)[/tex] to show the final answer:
[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]

Answer:

Step-by-step explanation:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

X=8

Step-by-step explanation:

5x

2x+24

5x and 2x+24 are equal to each other

5x=2x+24

-2x  -2x

3x=24

x= 8

Answer:

X = 2, -8

Step-by-step explanation:

Answer:

A. ( x + 3 )² = 25

Step-by-step explanation:

2x² + 12x = 32

2(x² + 6x) = 32

x² + 6x + 9 = 16 + 9              [ addition of 9 from both sides ]

( x + 3 )² = 25

Answer:

a reflection

Step-by-step explanation:

imagine this is on a piece of paper, fold the paper in half "hotdog style" then they will be mapped on top of each other.

Answer:

127/4 or 31 3/4 or 31.75

Step-by-step explanation:

got this by dividing 254 with 6 3/4

Answer:

36

Step-by-step explanation:

the total sugar bags to be distributed= x=48

the total rice bags to be distributed= y=72
each family can take a package containing= 1x +2y
as each family can have 2 rice bags thus we can estimate the total number of families that can benefit by diving total no of rice bags by 2 which will be = 72/2 =36

the rice can be divided into 36 families
while the sugar bags can be divided into 48 families
as these have to be divided into packages so there will be 36 packages
that can be distributed into 36 families.

Answer:

y=5x+9

Step-by-step explanation:

5x because the slope is 5

then solve for b by plugging in x=-1, y= 4 into the equation y=5x+b

Answer: C line through point (0,

3) and (1, 1). Line through (0, 2) and (4, 0)

Step-by-step explanation:

Answer:

h (x)=-16x^(2)+3x+35 =

x-intercept(s): (3+√224932,0),(3−√2249 32,0)

y-intercept(s): (0,35)

Answer:

(2) $1,699.50

Step-by-step explanation:

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

1500(1 + .025/12)^5*12

= $1699.50

$1,699.50 represents the value of an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given that an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years,

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

= 1500(1+0.25/12)^5*12

= $1699.50

Hence, $1,699.50 represents the value of an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years.

For more references on Compound interest, click;

https://brainly.com/question/14295570

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Answer:

total blocks are 20 and prisms are 28

Step-by-step explanation:

There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B

From the tape diagrams, we have the following ratio

Prism : Pyramid = 4 : 1

From the table, we have:

Tower A = 16 prisms

So, the ratio becomes

16 : Pyramid = 4 : 1

Multiply the ratio on the right-side by 4

16 : Pyramid = 16 : 4

By comparison, we have:

Pyramid = 4

This means that, 4 pyramid blocks are needed for tower A

So, the total number of blocks needed is:

Total = Pyramid + Prism

This gives

Total = 4 + 16

Evaluate the sum

Total = 20

Hence, there are 20 blocks needed for tower A

For table B, we have:

Tower A = 35 prisms

So, the ratio becomes

35 : Pyramid = 4 : 1

Express as fractions

[tex]\frac{Pyramid}{35} = \frac 14[/tex]

Multiply through by 35

Pyramid = 8.75

This means that, 8.75 pyramid blocks are needed for tower B

So, the total number of blocks needed is:

Total = 8.75 + 35

Evaluate the sum

Total = 43.75

Hence, there are 43.75 blocks needed for tower B

Read more about ratios at:

https://brainly.com/question/16981404

Answer: C $6.60

Step-by-step explanation:

46.20 ÷ 7 = 6.6

So Shana should be saving $6.60 every week.