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3 years ago

One side of equilateral triangle is represented with the expression-2x+8 and other 3x-2 find perimeter

Mathematics

1 answer:

ZanzabumX [31]3 years ago

8 0

Answer:

12 units

Step-by-step explanation:

Given that we are working with an equilateral triangle, we know that all sides are an equal length.

If one side measures to -2x + 8

and the other measures 3x -2

these expressions must equate to each other.

-2x + 8 = 3x - 2

Let's solve for x

-2x + 8 = 3x - 2 Add 2x to both sides

8 = 5x - 2 Add 2 to both sides to combine like terms

10 = 5x Divide both sides by 5 to isolate x

2 = x

Plug 2 in for x in either given expression

3(2) - 2 = 4

Each side of the triangle measures to 4

Since all 3 sides are the same length, we can simply multiply 4 by 3 to obtain our perimeter

4 * 3 = 12

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yKpoI14uk [10]

The measure of the angle is 20

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Francesca wants to convert 1 meter to feet. Use what you know about customary measures to explain how she could do this.

Volgvan

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5 0

3 years ago

Luden [163]

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

x = cost of blouse = $29

y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

5 0

2 years ago

Find the first term and the common ratio <br>third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

6 0

3 years ago

,if the swimmer is in a 100m race she swims the first half of the race and 32.34 seconds and the last half of the race and 34.83

joja [24]

The swimmer will take 67.17 second.

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3 years ago

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