All categories

3 years ago

Can someone please help me with this problem:)

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Value of x is x=16

Step-by-step explanation:

We are given two similar triangles and we need to find x.

Two triangles are similar, if their sides are in proportion and their angles are congruent.

Sides are proportional:

$\frac{8}{x}=\frac{12}{24}$

Solving the proportion to find value of x

Cross multiply

$24*8=12*x\\192=12x\\=> x=\frac{192}{12}\\x=16$

So, value of x is x=16

Keywords: Similar Triangles

Learn more about similar triangles at:

#learnwithBrainly

You might be interested in

Fully factorise x² + 7x+6

marin [14]

$\\ {\large{\textsf{\textbf{\underline{\underline{ Question \: :}}}}}} \\$

Factorise ;

x² + 7x+6

$\qquad\rule{120pt}{2pt}$

$\\ {\large{\textsf{\textbf{\underline{\underline{ Solution \: :}}}}}} \\$

$\\ \sf \implies \: {x}^{2} + 7x+6 \\$

$\\ \sf \implies \: {x}^{2} + 6x + x+6 \\$

$\\ \sf \implies \: x(x + 6) +1 (x+6) \\$

$\\ \sf \implies \: (x + 6) (x+1) \\$

$\\ \sf \implies \: x + 6= 0 \:\:\:\: and\:\:\:\: x+1=0 \\$

$\\ \sf \implies \: x= 0 -6\:\:\:\: and\:\:\:\: x=0-1 \\$

$\\ \sf \implies \: x= -6\:\:\:\: and\:\:\:\: x=-1 \\$

$\\\sf\implies\;{\underline{\boxed {\bf{ \:\:x=-6\:\: }}} }\red\bigstar \;\; \;\; \;{\underline{\boxed {\bf{ \:\:x=-1\:\: }}} }\red\bigstar \\$

$\\\qquad\rule{120pt}{2pt}\\$

5 0

1 year ago

Read 2 more answers

All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid

vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism = (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, $F_A$ = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ REPORT LINKS OR PEOPLE ANSWERING FOR POINTS

nikklg [1K]

Answer:

Step-by-step explanation:

Trust

6 0

3 years ago

Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

3 years ago

7 more than a number ?<br><br> A)n+7<br> B)7+n<br> C)7-n

Elza [17]

Answer:

B)7+n

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers