Pls help
Step by step

19.7 as a mixed number is  [tex]19\frac{7}{10}[/tex].

Given:

Decimal number = 19.7

To convert it to a mixed number,

Remove the decimal point and add 10 in the denominator as it has one number after the decimal point.

19.7 = 197/ 10

Now divide and write it into a mixed fraction form,

= [tex]19\frac{7}{10}[/tex]

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The manipulatives and paragraph forms are the two-column proof to prove that vertical angles are congruent.

Using manipulatives: Draw the same two intersecting lines on the paper. Then, fold the paper along the line via the joint. The fold bisects the other two borders, but only the lines of the folded border which are on top of each other are required. The edges check and lie straight on top of each separately. This folding procedure can be utilized with two vertical corners. As a result, the vertical angles are the same.

Paragraph Form: When ∠1 and ∠3 are connected to ∠2, they form a linear pair. This indicates that whether added dimension ∠2 to dimension ∠1 or dimension ∠2 to dimension ∠3, the total is 180°. That is, the measures of 1 and 3 are equal to the sum left before adding ∠2. As a result, the angles are the same. This argument applies to all pairs of vertical angles.

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The equation of a circle that has a radius of 9 and a center at (-2, 7) is the option;

A circle is a set that comprises all points that are equidistant from a point on a plane

The general form of the equation of a circle is; x² + y² + 2•g•x + 2•f•y + c = 0

The equation of a circle can also be presented in standard form as follows;

Where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius of the circle

The given parameters are;

The radius of the circle, r = 9

Taking the coordinates of the center of the circle, (h, k) = (-2, 7)

The equation of the circle in standard form is therefore obtained by plugging in the values of h, k, and r as follows;

(x - h)² + (y - k)² = r²

Which gives;

(x - (-2))² + (y - 7)² = 9²

Which gives;

(x + 2)² + (y - 7)² = 9² = 81

The equation of the circle is therefore the option;

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Answer:

C) 35

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°.  We also have a right angle which is 90°.

2x - 8 + 90 + x -7 = 180  Combine like terms

3x + 75 = 180  Subtract 75 from both sides

3x = 165  Divide both sides by 3

x = 35

It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.

The correct number line must have its final position on zero.

Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.

Answer:

3.3*10^5 is the largest one.

Step-by-step explanation:

Comment

The threes out in front are the same. The next digit, (the tenths) are 3 and 1 since 3 is greater than 1, the answer is

3.3*10^5 > 3.1*10^5

Think of it this way. Take away the 10^5 and just look at 3.1 and 3.3. Which is bigger. 3.3 is the larger one.

Answer:

A

Step-by-step explanation:

The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division). Here answer will be $66.

These worksheets on money word problems expose pupils to practical issues and arithmetic applications. The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division).

Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative numbers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. However, the set of real values obtained by the operation is its codomain of definition, active codomain, image, or range. The set that contains the values created is referred to as the codomain. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.

Each month payment= $125

8 months payment= $125*8= 1000

cost of a car= $934

cost to pay all at once= $1000-$934

                                    = $66

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Answer:

x = 23, y = 7, z = 11

Step-by-step explanation:

Since triangle PRS is congruent to triangle CFH,

PS = CH = 39

2x - 7 = 39

2x = 46

x = 23

Angle PRS = Angle CFH = 90°

13y - 1 = 90

13y = 91

y = 7

Sum of angles in a triangle add up to 180°.

Angle CHF = 180 - 90 - 28 = 62°

6z - 4 = 62

6z = 66

z = 11

Jamal is correct ( ½+⅓ =⅚), when he says that when adding two unit fractions, the numerator is found by adding the denominators, and the new denominator can be found by multiplying the previous denominators.

A denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole. It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.

In a fraction, the number above the line is the numerator. For instance, the numerator of the fraction 3/5 is 3. A fraction's numerator displays the number of pieces that make up the whole while the denominator.

Adding 2 unit fractions example ½ and ⅓

By Jamal’s theory, 2+3=5

2*3=6

½+⅓ =⅚

Hence the theory is proved right.

Drawbacks of Jamal’s Shortcut,

It is only for the unit fraction and not for any other type of fractions.

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Step-by-step explanation:

[tex]7x - 5(x + 6) \\ 7x - 5x + 30 \\ 2x + 30[/tex]

On Dan's map the distance between Cleveland and Columbus is  11.36 centimeters .

In the question ,

it is given that ,

the scale factor  of Dan's map is 25 miles = 2 cm

So , 1 mile = 2/25 cm

= 0.08 cm  

So , on Dan's map 1 mile is represented by 0.08 cm

Given that the actual distance between Cleveland and Columbus is 142 miles .

So , on Dan's map

142 miles = 0.08*142 cm

= 11.36 cm

we get , 142 miles = 11.36 cm

Therefore , On Dan's map the distance between Cleveland and Columbus is 11.36 centimeters .

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The number of votes that each class president candidate receive is 48 and 72 votes respectively.

Your information is incomplete. Therefore, an overview will be given. Let's say that A received 40% of the vote and B got 60% of the vote.

The number of votes gotten by each person will be:

A = Percentage × Number of votes

= 40% × 120

= 0.4 × 120.

= 48 votes.

B. = Percentage × Number of votes

= 60% × 120

= 0.6 × 120.

= 72 votes.

Therefore, A got 48 votes and B had 72 votes.

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Answer: yes because that is possible

Step-by-step explanation:and i took the quiz it 152

No, the combination lock is not appropriate. This is so as the repetition is  allowed, neither permutation nor the combination rule holds true or valid.

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Answer:

6/8

Step-by-step explanation:

3/4 if we further multiply we get 6/8

Answer:

easy put 2 in the place of x and take it's square and subtract 1 that will be the value of y

Step-by-step explanation:

y= x^2-1

y= (2)^2-1

y= 4-1

y= 3

(the arrow head is used for power)

Step-by-step explanation:

always remember (for your life) : the sum of all angles in a triangle is always 180°.

and the sum of all angles around a single point on one side of a line is also always 180°.

so,

180 = 65 + 51 + angle PSR

angle PSR = 180 - 65 - 51 = 64°

angle PST is the supplementary angle to angle PSR (that means together they have 180°), because of the principle of all angles around a single point (S) on one side of a line (TSR).

so,

180 = angle PST + angle PSR = angle PST + 64

angle PST = 180 - 64 = 116°

Answer:114

Step-by-step explanation:

Answer: 10=-4+14

Step-by-step explanation:

Find the y-intercept(b) y=Mx+b m=slope.

-1x4

-4

Take -4 to the other side

10+4=b

14=b

10=-4+14

Hope I helped

Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.

What is Sequence?

A list of numbers or objects in a special order is called sequence.

Given that;

The nth term of a sequence = 3n²

Now,

Let [tex]a_{n}[/tex] be the nth term.

Then, [tex]a_{n} = 3n^{2}[/tex]

Let m be the term which is the first term with a value greater than 1000.

Then, [tex]a_{m} > 1000[/tex]

Substituted the value of [tex]a_{m}[/tex] we get;

3m² > 1000

Divide by 3 we get;

m² > 1000/3

m² > 333.333

Take square root both side;

m > √333.33

m > 18.25

Thus, m = 19

So, 19th term is the first one with a value greater than 1000.

Hence, [tex]a_{19} = 3(19)^2 = 3 * 361 = 1083[/tex]

Thus, Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.

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Answer:

Step-by-step explanation:

-125/4

-124/4=-31

-31 1/4

For both triangles to be proven to be similar to each other by the SAS similarity theorem, it also needs to be shown that: A. angle N ≅ angle Z.

The side-angle-side similarity theorem (SAS) states that two triangles can be proven to be similar to each other if two pairs of corresponding sides of the two triangles are proportional to each other and one pair of corresponding angles of the two triangles are congruent to each other.

In the image given, we know that in both triangles:

XZ/LN = 6/2 = 3

ZY/NM = 9/3 = 3

Therefore:

XZ/LN = ZY/NM = 3

This means that the two triangles have two pairs of corresponding sides that are proportional to each other.

Thus, we also need to show that both triangles have a pair of congruent included angles before we can prove both triangles are similar to each other.

Thus, what needs to be shown is: A. angle N ≅ angle Z.

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We can write this equation as (x-3)² + (y-2)² =25 in graphing form.

The vertex form of a quadratic equation is y = a (x h) 2 + k as opposed to the regular quadratic form, which is an x 2 + b x + c = y. Graphs

f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

Given Data

Equation:

x² +y² -6x +9y - 12 = 0

Writing in graphing form,

(x² - 6x) + (y² + 4y) = 12

(x² - 6x +9-9) + (y² +4y+4-4) = 12

(x² -6x +9) + (y² +4y+4) = 25

(x-3)² + (y-2)² =25

Center (x, y) = (3,-2)

radius r = 5

We can write this equation as (x-3)² + (y-2)² =25 in graphing form.

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Answer:

Mark is x years old.

Sally is 10+x years old

Answer:

brainliest pls

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3x5=15

3x10=30

5x6=30

Answer:

3 bags

Step-by-step explanation:

For all 35 days, the dog will need 35 * 2 = 70 cups

She will need at least 3 bags (72 cups) to sustain 5 weeks

Step-by-step explanation:

8x + 32 = 12x +19

4x = 13

x = 3.25