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2 years ago

Help geometry question

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

Answer:

x=10

Step-by-step explanation:

43 and (4x+3) are vertical angles, which mean they are equal

so, 43=(4x+3)

43-3=(4x+3-3)

40=(4x)

40/4=4x/4

10=x

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He perimeter of the figure is given. Find the length of the indicated side.

77julia77 [94]

Answer:

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2 years ago

Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132

Ilia_Sergeevich [38]

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

<h3>How to determine the HCF</h3>

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

The HCF is the product of the highest factors

So, the HCF is:

$HCF = 2 * 3 * 11$

$HCF = 66$

<h3>How to determine the LCM</h3>

In (a), we have:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

So, the LCM is:

$LCM = 2^3 * 3 * 7 * 11$

$LCM = 1848$

Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

Read more about prime factorization at:

brainly.com/question/9523814

4 0

1 year ago

What is 2 15/16 as a decimal

Bad White [126]

Answer:

2.9375

2 15/16 as a decimal = 2.9375

2 15/16 in decimal form = 2.9375

Two and fifteen sixteenths as a decimal = 2.9375

2 and 15 over 16 as a decimal = 2.9375

7 0

2 years ago

Read 2 more answers

Help pls <br> What is the side length of AC

NeTakaya

Answer:

if there are answer choices i would put the closest one to 16

8 0

2 years ago

The surface area of the prism below is 264 square units . Find the missing dimensions of this prism. ( picture is in the picture

nignag [31]

Answer:

The missing dimension is 4 units.

Step-by-step explanation:

In the given prism,

Of all the surfaces,

There are three rectangular surfaces and two triangular surfaces

<h2>Analyzing areas of rectangular surfaces:</h2>

1)The two rectangles with dimensions of 15 units and 5 units:

The area of each rectangle = Length of rectangle $\times$ Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 5 units.

Area of each rectangle = 15 $\times$ 5 ;

Area of each rectangle = 75 square units.

Sum of areas of the two rectangles = 2 $\times$ 75

Sum of areas of the two rectangles = 150 square units (equation 1)

2) The rectangle with the dimensions 15 units and 6 units:

The area of thus rectangle= Length of rectangle $\times$ Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 6 units.

Area of the rectangle = 15 $\times$ 6 ;

Area of the rectangle = 90 square units. (equation 2)

From equation 1 and equation 2,

Therefore sum of areas of all rectangles in the prism = 150 + 90

Sum of areas of rectangles = 240 square units.

We also know,

Total surface area of the prism = Sum of areas of triangles + Sum areas of rectangles

Given, Total surface area of prism = 264 square units.

Therefore from the formula,

Sum of areas of triangles = Total surface area - sum of areas of reactangles

Sum of areas of triangles = 264 - 240

Sum of areas of triangles = 24 square units. (equation 3)

Let the missing dimension be 'h units'

<h2>Calculating sum of areas of triangles:</h2>

From diagram,both triangles are congruent,hence have the same area

Area of a triangle = $\frac{1}{2}\times base\times height$

From diagram,

Base = 6 units,

Height = h units.

Area of a triangle = $\frac{1}{2}\times 6\times h$ = 3h square units.

Sum of the areas of both triangles = 3h+3h = 6h square units.

Using equation 3, we get

6h = 24;

h = $\frac{24}{6}$

Therefore,

h = 4 units.

Therefore,

The missing dimension is 4 units.

4 0

3 years ago