Answer:
5
Step-by-step explanation:
Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.



Divide both sides by -7.


Therefore, the value of x is 6.
Here you go!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
<h2>c. 16.5</h2>
Step-by-step explanation:
It's the right triangle.
The formula of an area of a right triangle:

Look at the picture.
We have

Substitute:

1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2