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just olya [345]
3 years ago
5

The figure below shows two parallel lines intersected by a third line. What is the value of x

Mathematics
2 answers:
Alina [70]3 years ago
6 0

..Its ...13 º .......

lisabon 2012 [21]3 years ago
4 0

Answer:

x = 20

Step-by-step explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

4x = x + 60

Subtract x from both sides

4x - x = x + 60 - x

3x = 60

Divide both sides by 3

\frac{3x}{3} = \frac{60}{3}

x = 20

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What is the volume of the triangular prism? Round to the nearest tenth.
kramer

Answer:

the volume of the triangular prism is 1,185.6  in³

Step-by-step explanation:

To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length

Area of triangle = \frac{1}{2} × b×h

From the diagram ,the height of the triangle  is given to be 10.4 in and the base is given to be 12 in.

We will now proceed to insert the values into the formula;

                 Area of triangle  = \frac{1}{2} × b×h

                                              = \frac{1}{2} × 12×10.4

                                             

                                                = \frac{1}{2} × 124.8

                                                 =62.4

Area of triangle is 62.4 in²

From the diagram is given to be 19 in

Volume of triangular prism = area of triangular prism × l

                                              =62.4 in²   ×    19 in

                                              =1,185.6  in³

Therefore the volume of the triangular prism is 1,185.6  in³

                                           

                           

5 0
2 years ago
Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =
Ksivusya [100]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0
3 years ago
Read 2 more answers
First answer gets best marks ​
Mila [183]

Answer:

A, B, E

Step-by-step explanation:

I attached everything that I thought it would help you.

Hope this helps ;) ❤❤❤

7 0
3 years ago
Help, 100 pts + brainlist for first person to answer
Blababa [14]

Answer:

About 4.

Step-by-step explanation:

It is actaully 3.95 but if you were rounding and in fraction form, it would be four! Hope this helps!

8 0
1 year ago
Read 2 more answers
Find the term indicated in the expansion. (x - 3y)11; 8th term
Alja [10]
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
8 0
3 years ago
Read 2 more answers
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