Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

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Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Answer:

B

Step-by-step explanation:

This is the correct answer.

From The diagrams shown here, the option that does not fully define a translation is B.

In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.

The translation in this question is option B given the definition that we have above.

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Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Answer: 11x - 8y = -9

Step-by-step explanation:

Subtract it by terms.

8x - (-3x) = 11x  

-4y - (4y) = -8y

-4-5= -9    

order it

11x - 8y =-9

the above photos is the solution

Answer: -7

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

JH = 47 (70 - 23)

HM = 23

MK = 19 (42 - 23)

KU = 34 (81 - 47)

UC = 7 (47 - 40)

CN = 40

Answer:

19

Step-by-step explanation:

HM + MK = HK

23 + MK = 42

Subtract 23

MK = 42-23

MK =19

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3

Answer:

C

Step-by-step explanation:

So first, we should probably un-mix those fractions. So, we get:

4/3 x 7/4.

Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.

Answer: Ix - 4I ≤ 4

Step-by-step explanation:

You can see a black dot in the zero, and a black dot in the 8.

So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:

0 ≤ x ≤ 8.

Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.

The first step is to find the middle value of that set:

The middle value is equal to half of the difference between the extremes:

m = (8 - 0)/2 = 4.

Now we know the middle point, so we can write the equation:

Ix - mI ≤ m

m = 4

Ix - 4I ≤ 4

That is our inequality.

Where the "equal" part of ≤ is for the values x = 0 and x = 8.

Answer:

x= 3 +√509/10

Or

x= 3 - √509/10

Step-by-step explanation:

Given:

5x2-3x = 25

Using completing the square method of solving quadratic equation

Step 1: Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.

Take (1/2) of (3/5)

1/2 × 3/5

= 3/10

Square 3/10

We have, 9/100

We have,

5(x^2 - 3x/5 + 9/100) = 25 + 9/100

Step 3: Simplify

x^2 - (3/5)x + 9/100 = 25 + 9/100

5(x^2 - 3x/5 + 9/100) = 5 + 9/20

Step 4:

factor the right side

(x - 3/10)^2 = 509/100

Take both roots

√ (x - 3/10)^2 = √509/100

x - 3/10 = ±√ [509/100]

x = [ 3 ±√509 ] / 10

x= 3+√509/10

Or

x= 3 - √509/10

Answer:

6/7

Step-by-step explanation:

First, find two points that fall on the line and are coordinates on the graph.

The two points I found were (3,5) and (10,11).

Use the slope formula to come up with the slope.

[tex]slope = \frac{change in y}{change in x}[/tex]  

slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]

Answer:

[tex]\sqrt[5]{y^3}[/tex]

Step-by-step explanation:

[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Answer: Two separated circles, one called X and the other called Y.

(so there is no element of the set X that is also in the set Y)

Step-by-step explanation:

"No X are Y"

This means that there is not a single element in the set X that is also in the set Y.

So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.

This particular case is represented similarly to how you would represent it in a  Venn diagram

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

Answer:

There are 200 numbers between 1 and 1000  that do not contain the digits 8, and 9.

Step-by-step explanation:

1-100

=(8,9,18,19,28,29,38,39,48,49,58,59,68,69,78,79,88,89,98,99)=20

101-200

=(108,109,118,119,128,129,138,139,148,149,158,159,168,169,178,179,188,189,198,199)=

201-300=20

.......

100*10=1000

20*10=200

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

Answer:

80

Step-by-step explanation:

0,   3,   8,   15,   24,  35,   48,   63,  80 which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

                =from 3 to 8 the steps were 5

                = from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

Answer:

80

Step-by-step explanation:

Answer:

[tex]Average\ Rate = 10[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -x^2[/tex]

[tex](-8,-2)[/tex]

Required

Determine the average rate of change;

Average rate of change is calculated as thus;

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex](a,b) = (-8,-2)[/tex]

i.e. a = -8 and b = -2

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

Calculating g(-2)

Substitute -2 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-2) = -(-2)^2[/tex]

[tex]g(-2) = -4[/tex]

Calculating g(-8)

Substitute -8 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-8) = -(-8)^2[/tex]

[tex]g(-8) = -64[/tex]

Substitute values for g(-2) and g(-8)

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]

[tex]Average\ Rate = \frac{60}{6}[/tex]

[tex]Average\ Rate = 10[/tex]

Hence, the average rate of change is 10

Answer:

y = 10x + 20

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (20 - 10)/(0 - -1)

m = 10/(0 + 1)

m = 10/1

m = 10

y = 10x + b

Step 2: Find y-intercept

(0, 20) is y-int from graph

Step 3: Plug into form

y = 10x + 20

Answer:

2

Step-by-step explanation:

Use PEMDAS

First simplify the exponent (9)

Next multiply 5 and 3 (15)

Now add 15 and 15 (30)

Add 9 and 6 (15)

Lastly simply 30 by 15 (2)

Answer:

[tex]\boxed{A. 2}[/tex]

Step-by-step explanation:

Hey there!

Well we first need to solve the top part.

15 + 5 * 3

5*3 = 15

15 + 15 = 30

3^2 + 6

3*3 = 9

9+6 = 15

Now we have 30 ÷ 15 = 2.

Hope this helps :)

Answer:

they are both the same thing the first one with kara is in numbers and with raul it is in words

Step-by-step explanation:

hope i helped and have a great day :)

Answer:

see explanation

Step-by-step explanation:

The line x = - 2

Is a vertical line parallel to the y- axis

It passes through all points with an x- coordinate of - 2

I am sure the answer is D

Answer:

D 100

Step-by-step explanation:

60% = 60/100

70% =70/100

Answer:

8.48

Step-by-step explanation:

After removing the perfect square inside √72 we get,

6√2

The given square root is,

√72

Since we know that,

A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.

Simplify the square root of 72.

Factor 72 into 36 and 2,

Giving us the square root of 36 times the square root of 2.

Therefore,

√72 = √36 x √2

We know that the square root of 36 is 6,

So we can substitute that in:

√72 = 6 x √2

Hence after removing the perfect square inside √72 we get,

6√2.

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Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)