Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.

B
Line segments AB and BC are congruent.

C
Line segments AB and DE are congruent.

D
Angles A, B, C, D, E and F are all congruent.

The inequality in a standard form that represents the given statement will be equal to 8x + 3y ≥ 120.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data available in the question,

The maximum duration of the recital is 120 minutes.

Time for group dance = 8 minutes.

Time for solo dance = 3 minutes.

Then, the inequality will be,

8x + 3y ≥ 120

Here, x is the number of group dances on the program, and y is the number of solo dances on the program.

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Answer: Alternativa B

X= 12 raíz de 3 e Y= 6.

Answer:

123x222

Step-by-step explanation:

because2=2 and 4=4

Answer:

Diverge

Step-by-step explanation:

5 + 20 + 80 + 320 + .....

   [tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]

        [tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]

Answer:

1/10

Step-by-step explanation:

1/2 - 2/5

common denominator is 10 (2x5)

5/10 - 4/10 = 1/10

a) When rotating 90 degrees clockwise, (x,y) maps onto (-y,x), meaning R(6,-7) maps onto (7, 6).

Answer:

Since the Independent variable is something that is modified or controlled in a scientific experiment, it is his age.

Answer:

please what is the correct question

Answer: its the last one

Step-by-step explanation:

Answer: 17/36

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

7-4 = 3

4 = 1 + 1 + 1 + 1

So...

Substitute 4 with 1+1...

7 - 1 - 1 - 1 -1

Get rid of the ones one at a time:

6 - 1 - 1 - 1

5 - 1 - 1

4 - 1

3

Mark brainliest please!

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

Answer:

Will you be my friend? please answer

Step-by-step explanation:

what do you need to find ?

the number of pizzas and calzones they were eating ?

if so :

p = number of pizzas

c = number of calzones

3p + 2c = 18

2p + 5c = 23

let's multiply the first equation by 2 and the second squadron by 3, and then subtract the second from the first :

6p + 4c = 36

- 6p + 15c = 69

-------------------------

0 -11c = - 33

c = 3

2p + 5c = 23

2p + 5×3 = 23

2p + 15 = 23

2p = 8

p = 4

so, they were eating 4 pizzas and 3 calzones.

Answer:

4

Step-by-step explanation:

square root of 16 is 4,

4*4 = 16

Answer:

The square root of 16 is 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Finding the y-intercept :

In order to find x-intercept, the f(x) or y will be 0

=================

(x-4)(x + 2) = 0

(x-4) = 0, (x + 2) = 0

x = 4, x = -2

x intercepts: (4, 0) and (-2, 0)

In order to find vertex use the formula: x = -b/2a

y = (x-4)(x + 2)

y = x² -4x + 2x -8

y = x² - 2x -8

Now find x-coordinate of vertex:

x = -(-2)/2(1)

x = 2/2

x = 1

y coordinates: (1-4)(1 + 2) =  -9

Ordered pair of vertex: (1, -9)

In order to find y intercept, insert x = 0

y = (0-4)(0 + 2)

y = -8

y intercept: (0, -8)

Answer:

9 units

Step-by-step explanation:

In the points S and T, the y- co ordinate are unchanged. So, the line joining S and T are parallel to x -axis.

So, the distance will be the sum of obsolute value of the x- coordinates.

 Distance = I 7I + I - 2I

                 = 7 + 2

                 = 9 units

Answer:

Yes

Step-by-step explanation:

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of [tex]-7[/tex] our slope because [tex]7[/tex] in this step.  In our case our slope is [tex]7[/tex] so in this step it becomes [tex]-7[/tex].

Moving onto the second part which is to get the reciprocal of the number which means that if we have [tex]\frac{1}{2}[/tex] then we would switch it to [tex]2[/tex].  In our case our number is [tex]-7[/tex] so we would make that into a fraction like this [tex]-\frac{1}{7}[/tex].

In conclusion, our final slope of the perpendicular line is [tex]-\frac{1}{7}[/tex].

Hope this helps!  Let me know if you have any questions

Answer: " [tex]-\frac{1}{7}[/tex] " .

_____________

Step-by-step explanation:

Assume we have a two-dimension Cartesian plane graph;

 in which equations of straight lines can be expressed in the form of:
   " y = mx +  b " ;

in which:

 "m" is the slope; as well as the "coefficient" of "x" ;
  and:  "b" is the y-intercept; that is, the value "y" value of the "(x, y)" coordinate at the point which "x = 0" ;  that is, where the graph crosses the "y-axis".

Given the ^aformentioned conditions:
     Note that if we select a line that can be written in the format:  
 " y = mx + b " ;   then another line that is "perpendicular" to that
[selected line] will have the slope, "m";  of the value that is the "negative reciprocal value" of the slope, "m" ; of the other line.

Note that is our problem, we select a line—in our given problem:
          "Line a" —with a slope, "m = 7 " ;  
    which is perpendicular to the slope of "Line b" ;
 → then:  the slope of "Line B" ; would be the "negative reciprocal value"

of "7" .

Note: " [tex]7 = \frac{7}{1}[/tex] " ;  the recriprocal would be: "  [tex]-\frac{1}{7}[/tex] " .

_____________

Hope this answer is helpful to you!

Answer: Solve for a: a = [tex]\frac{8n+1}{n}[/tex]

Solve for n: [tex]n=\frac{1}{a-8}[/tex]

Step-by-step explanation:

solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.

Answer:

582 ft squared

Step-by-step explanation:

15*9*2 = 270

15*4*2 = 120

6*6*2 = 72

9*4*2 = 72

6*4*2 = 48

270 + 120 + 72 + 72 + 48 = 582

The expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have value of quantity is 60

A) 0.63×104 = 65.52

B) 32.4×21 = 68.04

C) 1.1 × 58 = 63.8

D) 0.18×27 = 4.86

E) 6×9.82 = 58.92

The value of 6×9.82 is 58.92 which is best estimate of 60.

Thus, the expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

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Answer: a b e

Step-by-step explanation:

Answer:

99.34 years

Explanation:

Given function:

[tex]\sf C(t)=100*e^{-0.000121t}[/tex]

Insert t = 55:

[tex]\sf C(55)=100*e^{-0.000121(55)}[/tex]

Simplify following:

[tex]\sf C(55)=99.3367[/tex]

Round to nearest hundredth:

[tex]\sf C(55)=99.34[/tex]

Answer:

A=1000

B=3.33

Step-by-step explanation:

I think?

A. The total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B. The probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The formula for the permutation is

[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]

Where,

n is the total number of objects

r is the total number of selected students

[tex]^{n} P_{r}[/tex] is the total number of permuations

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

According to the given question.

Total number of balls in a bag = 10

A. Three balls are selected at a randow.

Since, repetition is not allowed or replacement is not allowed.

So, the number of ways selecting the first ball is 10

Number of ways selectiong the second ball is (10-1)

Number of ways selecting the third ball is (9-1)

Therefore,

The total number of ways or permutation selecting three balls from a bag

= [tex]^{10} P_{3}[/tex]

[tex]= \frac{10!}{(10-3)!}[/tex]

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

[tex]=\frac{10\times 9\times 8\times 7!}{7!}[/tex]

[tex]= 10\times 9\times 8[/tex]

[tex]= 720[/tex] ways

Hence, the total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B.  

Total number of ball in a bag = 10

Total number of ball in a bag marked with 5 = 1

Thereofre,

the probability of selecting a ball marked with number 5

= [tex]\frac{total\ number\ of \ balls\ marked\ with \ number\ five\ }{total\ number\ of\ balls\ in\ a \ bag}[/tex]

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

Hence, the probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

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Answer:

where

r radius of semicircle

→ ½ * 22/7 * r² = 35

→ 11/7 * r² = 35

→ r² = 35*7/11

→ r² = 245/11

→ r² = 22.77

→ r = √22.77

→ r = 4.77

Therefore,

Diameter = 2*4.77

= 9.54 cm

Answer and Explanation:

x= 5.04

so, as this is a multiple choice question, the two values are

A - five ones and forty thousands

and

C - (5x1) + (4 x 1/100)

and as they both equal 5.04 (the value of "x"), those two would be the correct answers out of the four options given, hope this helps!!