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Arada [10]
3 years ago
8

the length of the bottom of the triangle is X. Another more in 7 more than 4 times the length of the bottom of the triangle. The

last side is 14 more than the bottom of the triangle. Wright and simplify the expression of the perimeter of the triangle.
Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

The expression for perimeter of triangle is 6x + 21

<em><u>Solution:</u></em>

Given that,

Let the length of the bottom of the triangle be "x"

Another side is 7 more than 4 times the length of the bottom of the triangle

Length of another side = 7 + 4x

The last side is 14 more than the bottom of the triangle

Length of last side = 14 + x

<em><u>The perimeter of triangle is given as:</u></em>

Perimeter = sum length of length of all 3 sides of triangle

Perimeter = x + 7 + 4x + x + 14\\\\Combine\ the\ like\ terms\\\\Perimeter = 6x + 7 + 14\\\\Add\ the\ constants\\\\Perimeter = 6x + 21

Thus expression for perimeter of triangle is 6x + 21

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babunello [35]

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

3 0
3 years ago
Just need to know the fraction
Reptile [31]
<h3>Answer:  1/2</h3>

The midsegment is always exactly half as long compared to the side it's parallel to.

Put another way, the longer side (4x+20) is twice long as the midsegment (3x).

7 0
3 years ago
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Radda [10]
I’ve attached a photo with the definition and my answers
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6 0
3 years ago
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6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
nlexa [21]

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

7 0
3 years ago
Can some one please help me <br> will give 94 points for it
NNADVOKAT [17]
You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
\frac{AC}{BC} =  \frac{DF}{EF}
Substitute for the values of AC, BC, DF and EF:
\frac{x}{4}  =  \frac{11}{8}  \\  \\ 8x = 4 \times 11 \\  \\ x =  \frac{44}{8}
x = 5.5 \: units
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
\frac{AB}{BC}  =  \frac{DE}{EF}
Substitute for the values and solve:
\frac{3}{4}  =  \frac{y}{8}
4y = 24 \\  \\ y = 6 \: units

We have the value x to be 5.5 units and y to be 6 units.

7 0
3 years ago
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