Let us try to formulate the expressions one by one.
let the number be x.
Step 1:
six time the number is 6*x = 6x
Step 2:
product of the number and -3 is -3x
Step 3:
now let us make equation for it:

adding 3x on the left side,


dividing right side by 9
x=45/9 = 5
So the number is x=5
Answer:
a) WS, ZV, YU
b) VU
c) ZW
d) WXY
e) None
f) TU, TV, UV, XY, XZ, YZ
g) SW, VX, VZ, WX, WZ, YZ
Step-by-step explanation:
A prism is a polyhedron that has:
- Two bases that are congruent and parallel to each other.
- Lateral sides that are parallelograms and link the two bases.
- Height that is the distance between the two bases.
From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.
<u>Parallel line segments</u>
- Parallel line segments lie on parallel lines.
- Parallel lines are lines on a plane that <u>never meet</u> and are the <u>same distance apart</u>.
a) Segments parallel to XT:
b) Segments parallel to ZY:
c) Segments parallel to VS:
<u>Planes</u>
- A plane is a flat, two-dimensional surface that extends into infinity.
- A plane can be named by the letters naming three non-collinear points in the plane.
- Parallel planes are planes that never intersect.
d) Planes parallel to plane STU:
e) Planes parallel to plane UVZ:
<u>Skew lines</u>
Skew lines are a pair of non-coplanar lines that:
- Do <u>not</u> intersect.
- Are <u>not</u> parallel to each other.
f) Segments skew to SW:
g) Segments skew to UT:
Answer:
<h2><em><u>D.27</u></em></h2>
Step-by-step explanation:
This is because,
<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>Triangle</u></em><em><u> </u></em><em><u>Inequality</u></em><em><u> </u></em><em><u>Property</u></em><em><u>:</u></em><em><u> </u></em>
<em><u>M</u></em><em><u>e</u></em><em><u>asurement</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>any</u></em><em><u> </u></em><em><u>two</u></em><em><u> </u></em><em><u>sides</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>always</u></em><em><u> </u></em><em><u>greater</u></em><em><u> </u></em><em><u>than</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>third</u></em><em><u> </u></em><em><u>side</u></em><em><u>.</u></em>
<em>Here</em>,
10 + 16 = 26 > 21
10 + 16 = 26 > 22
10 + 16 = 26 > 22
<em>But</em><em>,</em>
<em><u>10 + 16 = 26 < 27</u></em>
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Option</u></em><em><u> </u></em><em><u>D</u></em><em><u>:</u></em><em><u> </u></em><em><u>27</u></em><em><u> </u></em><em><u>can't</u></em><em><u> </u></em><em><u>be</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>measurement</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>triangle</u></em><em><u>. </u></em>
1 foot= 12 inches.
To convert you must have "2 fractions" to multiply.
Your first fraction must be 100in/1min. (100 inches per 1 minute).
The second should serve to convert inches to feet. It should be 1 foot/ 12 inches. (1 foot per 12 inches).
Your product should be 100ft/12 which equals 8.3 repeating or 25/3 (8 1/3) feet.