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Ierofanga [76]
3 years ago
7

What is Perimeter of triangle ABC?

Mathematics
2 answers:
belka [17]3 years ago
5 0
Considering they are congruent
if 7x-19=2x+11
how much is 6x-8

7x-19=2x+11
7x=2x+30
7x-2x=30
5x=30
X=6

6x-8=
(6*X)-8=
(6*6)-8=
36-8=
28

therefore
BC= 28
2x+11
(2*6)+11
12+11
23

23+28+24=75
therefore the perimeter is 75

hope you found this helpful, brainliest if possible please
Elenna [48]3 years ago
3 0

ΔABC and ΔFEG are congruent. Therefore we have the equation:

7x - 19 = 2x + 11      <em>add 19 to both sides</em>

7x = 2x + 30     <em>subtract 2x from both sides</em>

5x = 30     <em>divide both sides by 5</em>

x = 6

AB = 24

AC = 2x + 11 → AC = 2(6) + 11 = 12 + 11 = 23

BC = 6x - 8 → BC = 6(6) - 8 = 36 - 8 = 28

The perimeter of ΔABC = 24 + 23 + 28 = 75

<h3>Answer: 75 feet</h3>
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What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?
Elza [17]

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


6 0
3 years ago
The table below shows the numbers of tickets sold at a movie theater on Friday.
sleet_krkn [62]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday  

= Sum of ( Adult + Children's ) tickets  = 1,678  + 976 = 2,654 ....  (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold =   2 times as many as the number of adult tickets sold

on Friday

=  1,678 x 2  = 3,356

Children's Tickets sold = 3 times as many as the number of children's

tickets sold on Friday.

=  976  x 3 = 2, 928

So, the total number of tickets sold on Saturday  

= Sum of ( Adult + Children's ) tickets  = 3,356 + 2,928 = 6, 284 ....  (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 +  6, 284  =   8,938

Hence, total number of tickets sold over these two days is 8,938.

7 0
3 years ago
1. The area of a circle is 60 square units. What is the area of ...
AVprozaik [17]

Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.

3 0
2 years ago
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. find an equation for the p
sattari [20]
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a = -3, b = 2 and c = -5

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y=-3x^2+2x-5
7 0
3 years ago
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leonid [27]

Answer:

The answer to your question is: 40°

Step-by-step explanation:

Due to the directions, we can know that KL is parallel to GH, then the

∠ FKL ≡ ∠ FGH =  40

7 0
3 years ago
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