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Step2247 [10]
3 years ago
6

What is the volume of the prism?

Mathematics
1 answer:
inessss [21]3 years ago
6 0
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
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In the diagram, line I and line m are parallel lines cut by transversal n.<br> b<br> a<br> n<br> m
baherus [9]

The measure of both the interior angles are 70 and 110 degree.

<h3>What are Parallel Lines ?</h3>

Lines they never intersect with each other and the distance between them always remains same are called parallel lines.

It is given that

Line l and m are parallel lines and are intersected by a transversal ,n

Interior angles of the same side are (2x−8) degree and (3x−7) degree

Applying the property of interior angles of parallel lines

2x -8 + 3x - 7 = 180 degree

5x -15 = 180

5x = 195

x = 39 degree

Both the angles have measure of

2 * 39 - 8 = 70 degree

3 * 39 -7 = 110 degree

Therefore the measure of both the angles are 70 and 110 degree.

The complete question is

Two parallel lines l and m are cut by a transversal  n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree  , find the measure of each of these angles.

To know more about Parallel Lines

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
Expand and simplify (x-3)(2x+1)(x+1)
lions [1.4K]

Answer:           x(2x=1)(x+1)-3(2x+1)(x+1)

Step-by-step explanation:

6 0
3 years ago
The equation cos super negative 1 (StartFraction 3.4 Over 10 EndFraction)equals x can be used to determine the measure of angle
Dmitriy789 [7]

Answer:

70 degrees

Step-by-step explanation:

cos^{-1} \frac{3.4}{10}=x

This implies that:  cos x=  \frac{3.4}{10}Recall: cos x=\frac{adjacent}{hypotenuse}

From the diagram

Angle CAB,  x=cos^{-1} \frac{3.4}{10}=70.1 degrees=70 (to the nearest degree)

6 0
4 years ago
Read 2 more answers
What is one fith times 15
Rus_ich [418]
One fifth is the same as \frac{1}{5} and 15 is the same as \frac{15}{1}

So just times across, \frac{1}{5} × \frac{15}{1}
Resulting in(1 x 15= 15, and 5 x 1= 5), \frac{15}{5}

If you need/want to reduce it, divide both numbers by 5. Leaving you with the simplified answer of \frac{3}{1} or 3. Either answer works. :)

If you have any questions, just comment them down below :)
4 0
4 years ago
Read 2 more answers
-2(x-3)^3(x-3)^2(x+1) find both the x and y intercepts. I have found the x intercepts: -1,2,3 but am struggling to find the y in
fgiga [73]
\bf -2(x-3)^3(x-3)^2(x+1)=0\impliedby x-intercepts&#10;\\\\\\&#10;x=&#10;\begin{cases}&#10;3\\&#10;-1&#10;\end{cases}

now, the (x-3) is there 5 times,  namely (x-3)(x-3)(x-3) and (x-3)(x-3), that simply means, the root of 3 has a multiplicity of 5, is all

to get the y-intercepts, simple, when the graph touches the y-axis, "x" is zero, thus \bf -2(0-3)^3(0-3)^2(0+1)=y\impliedby y-intercepts&#10;\\\\\\&#10;-2(-3)^3(-3)^2(1)=y\implies -2(-27)(9)(1)=y\implies 486=y
7 0
3 years ago
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