All categories

3 years ago

In the figure, the segment is parallel to one side of the triangle. The ratio of x to 16 is

Mathematics

1 answer:

Romashka [77]3 years ago

3 0

Answer:

Step-by-step explanatiog:

En la figura anterior, el segmento BC es paralelo al segmento AD. El área trapezoidal ABCD, en centímetros cuadrados, es

que sabemos que el

área del trapezoide = (1/2) * [(BC + AD) * AB]

BC = 8 cm

AD = 12 cm

AB = 2 cm,

entonces el

área del trapezoide = ( 1/2) * [(8 + 12) * 2] -------> 20 cm²

la respuesta es

20 cm²

la respuesta en español

Sabemos que

area del trapecio = (1/2) * [(BC + AD ) * AB]

BC = 8 cm

AD = 12 cm

AB = 2 cm

área del trapecio = (1/2) * [(8 + 12) * 2] -------> 20 cm²

La respuesta es

20 cm²

You might be interested in

an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of tria

Dovator [93]

From the angle bisector theorem
we can first assume the third side is x, therefore
7.4/6 = x/4
x = 7.4 × 4/6
x = 4.93 cm
We can also use,
7.4/4 = x/6
x = 7.4 ×6/4
x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm

6 0

3 years ago

Given in the figure below, find the values of X and Z.

sweet-ann [11.9K]

Answer:

$\boxed{x=9}\\\boxed{z=76}$

Step-by-step explanation:

Hello There!

Geometry

The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles

Vertical angles are congruent so we can use this equation to solve for x

Basic Algebra

11x + 5 = 5x + 59

step 1 subtract 5x from each side

5x - 5x cancels out

11x - 5x = 6x

now we have 6x + 5 = 59

step 2 subtract each side by 5

5 - 5 cancels out

59 - 5 = 54

now we have 54 = 6x

step 3 divide each side by 6

6x/6=x

54/6=9

we're left with x = 9

now we want to plug in 9 into x for one of the expression

11(9) + 5

11 * 9 = 99

99 + 5 = 104

so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees

Now we need to find z

Geometry

The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180

So to find z we subtract the known angle (104) from 180

180 - 104 = 76

so we can conclude that z = 76

5 0

3 years ago

Complete the point-slope equation of the line through (-1,6) and (1,5).

deff fn [24]

Step by step equation

5 0

3 years ago

Read 2 more answers

Write each expression in simplified radical form PLEASE HELP ITS DUE FRIDAY AND I DONT UNDERSTAND THIS AT ALL REALLY BAD TEACHER

Nonamiya [84]

Answer:

1) The simplified radical form is $\sqrt{36x^2}=6x$

2) The simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) The simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) The simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

Step-by-step explanation:

1) Given expression is $\sqrt{36x^2}$

To find the simplified radical form of the given expression :

$\sqrt{36x^2}$

$=\sqrt{36\times x^2}$

$=\sqrt{36}\times \sqrt{x^2}$

$=\sqrt{6\times 6}\times \sqrt{x\times x}$

$=6\times x$

$\sqrt{36x^2}=6x$

Therefore the simplified radical form is $\sqrt{36x^2}=6x$

2)Given expression is $\sqrt{72x^3}$

To find the simplified radical form of the given expression :

$\sqrt{72x^3}$

$=\sqrt{72\times x^3}$

$=\sqrt{72}\times \sqrt{x^3}$

$=\sqrt{9\times 8}\times \sqrt{x\times x\times x}$

$=\sqrt{9}\times \sqrt{8}\times x\sqrt{x}$

$=3\times 2\sqrt{2}\times x\sqrt{x}$

$\sqrt{72x^3}=6x\sqrt{2x}$

Therefore the simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) Given expression is $\sqrt{15x^8}$

To find the simplified radical form of the given expression :

$\sqrt{15x^8}$

$=\sqrt{15\times x^8}$

$=\sqrt{15}\times \sqrt{x^8}$

$=\sqrt{5\times 3}\times \sqrt{x^4\times x^4}$

$=\sqrt{15}\times x^4$

$\sqrt{15x^8}=\sqrt{15}x^4$

Therefore the simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) Given expression is $\sqrt{36x^7}$

To find the simplified radical form of the given expression :

$\sqrt{36x^7}$

$=\sqrt{36\times x^7}$

$=\sqrt{36}\times \sqrt{x^7}$

$=\sqrt{6\times 6}\times \sqrt{x^3\times x^3\times x}$

$=6\times x^3\sqrt{x}$

$\sqrt{36x^7}=6x^3\sqrt{x}$

Therefore the simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

3 0

3 years ago

What is the correct process for solving a quadratic inequality?*

astra-53 [7]

It's C i took the test......

4 0

3 years ago