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4 years ago

Find the value of x in the isosceles triangle shown.

Mathematics

1 answer:

strojnjashka [21]4 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.

Using Pythagoras theorem, we have

8^2 = x^2 + 3^2

8 x 8 = x^2 + 3 x 3

64 = x^2 + 9

Subtract 9 from both sides

64 - 9 = x^2 + 9 - 9

55 = x^2

X^2 = 55

x = squared root of 55

x = 7.4

x = 7

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Simplify the following expressions ( combine like-terms )

galina1969 [7]

Answer:

Step-by-step explanation:

Step 1: Write equation

x + 2x + 3x

Step 2: Combine like terms

3x + 3x

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3 years ago

PLS HELP I WILL GIVE BRAINIEST If triangle BCD were rotated over the y-axis from point (0, 0), what would be the coordinates of

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2 years ago

Sketch the algebra-tile shape at right on your paper. Write an expression for the

Dima020 [189]

Answer:

Part 1) $P=(4x+4)\ units$

Part 2)

a) $P=32\ units$

b) $P=26\ units$

c) $P=13\frac{1}{3}\ units$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

$A=x^2\ units^2$

The length and the width of the larger square is x units

2) The area of the rectangle is given

$A=x\ units^2$

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

$P=(x+x+x+x+1+1+1+1)$

$P=(4x+4)\ units$

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

$P=(4(7)+4)=32\ units$

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

$P=(4(5.5)+4)=26\ units$

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

$P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units$

8 0

3 years ago

A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday

chubhunter [2.5K]

Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.

Step-by-step explanation:

Step 1: Find equation for Thursday's sales.

Given b = price of a loaf of bread and m = price of one liter of milk

Total sales = €10.90

Equation ⇒ 4b + 5m = €10.90

Step 2: Find the values of b and m.

3b + 2m = 6.25 ----- (1)

4b + 5m = 10.90 ---- (2)

Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.

15b + 10m = 31.25

8b + 10m = 21.8

Subtract eq(2) from eq(1)

⇒ 7b = 9.45

⇒ b = 9.45/7 = €1.35

Substitute for b and find m using eq(1).

⇒ 3 × 1.35 + 2m = 6.25

⇒ 4.05 + 2m = 6.25

⇒ 2m = 2.2

∴∴ m = 2.2/2 = €1.1

8 0

3 years ago

Help I need to turn this in today :)

Elodia [21]

Answer:

132 cm squared

Step-by-step explanation:

6x5=30

6x8=48

1/2(8x3)=12

Total added together is 132 cm squared

8 0

3 years ago

Find the value of x in the isosceles triangle shown.​

Find the value of x in the isosceles triangle shown.