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const2013 [10]
3 years ago
5

Plssss help me it’s really important!!!

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is

6x = x + 2y ( subtract x from both sides )

5x = 2y ( subtract 2y from both sides )

5x - 2y = 0 → (1)

and perimeter = 29, that is

6x x + 2y + 5x - y = 29 , simplifying

12x + y = 29 → (2)

Multiply (2) by 2

24x + 2y = 58 → (3)

Add (1) and (3) term by term to eliminate y, that is

29x = 58 ( divide both sides by 29 )

x = 2

Substitute x = 2 into (2) and evaluate for y

12(2) + y = 29

24 + y = 29 ( subtract 24 from both sides )

y = 5

Thus

FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B

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1 point
galina1969 [7]

Answer:

(B) 20

Step-by-step explanation:

Let small puppet be represented by-----------------s

Let large puppet be represented by-----------------l

Total number of puppets expression will be: s+l =25---------a

The expression for total costs will be : 1$ s + $2l=$30-------b

Equation a can be written as; s= 25-l ------------c

Use equation c in equation b as

$1( 25-l )+$ 2l = $30

25-l + 2l = 30

25+l =30

l= 30-25 =5

l, large puppets = 5

s, small puppets = 25-5 = 20

Answer choice A is incorrect because 25 is the total number of all puppets

Answer choice C and D are incorrect because the numbers are less that that of small puppets.

3 0
3 years ago
Which logarithmic equation is equivalent to the exponential equation below?<br><br> 7^x=21
Irina-Kira [14]
Log base 7 (21)=x
Hope this helps!
7 0
3 years ago
Read 2 more answers
A bag contains blue marbles and red marbles, 56 in total. The number of blue marbles is 8 more than 2 times the number of red ma
Nikolay [14]

24 Blue marbles.

Explanation:

56 - 8 = 48

48 / 2 = 24

so if there are 24 blue marbles, 24 x 2 = 48, and then 8 more is 56.

8 0
3 years ago
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Over the last week,the daily low temperatures in degrees Fahrenheit have been -4,6.2,18 1/2,-5.9,21,-1/4,1.75.List these numbers
Anit [1.1K]

-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.

8 0
3 years ago
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation
nydimaria [60]

y/x = k

6.4/4 = 1.6

11.2 / 7 =1.6

16/10 = 1.6

20.8 /13 =1.6


This is a direct variation and the constant is 1.6

y=1.6x

8 0
3 years ago
Read 2 more answers
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