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andreev551 [17]
3 years ago
6

Draw a number line and mark all described points. 5x<12

Mathematics
1 answer:
attashe74 [19]3 years ago
7 0

Answer:

x < 2.4

Step-by-step explanation:

5x < 12

x < 12/5

x < 2.4

On the number line, draw an arrow going towards left from 2.4, with an open circle at 2.4

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Direction: True or False
Goshia [24]

Answer:

<u>False </u>Any three points are always coplanar

<u>False </u>Two points are always collinear

<u>False </u>Two planes intersect at a point

Read explanations, as the answer to these questions, is subjective.

Step-by-step explanation:

The definition of coplanar is; figures that exist on the same plane. Any three points might not always be colinear, as some points might exist on one plane, but other points could exist on other planes. To visualize this phenomenon, refer to the attached image. Two points could be on the red plane, but the third could be on the green. Therefore, while there are three points, not all of them exist on the same plane. However, another plane can be constructed to connect these points, bear in mind certain problems might specifically indicate that three points are not coplanar, therefore, the answer is false.

The definition of collinear is existing on the same line. This statement is a little subject, it can be both true and false depending on the way one looks at it. A line can be drawn to connect any two points, one only needs two points to determine a line. So technically two points are always collinear. However, it also depends on the circumstance. Certain geometry problems might specifically indicate that two points are not collinear. Thus, it really depends on the context. Therefore, the answer is technically false.

Two planes usually intersect on a line. To understand this, please refer to the image attached. Tehcnailly, if a corner of one plane intersects another, then one can state that the plane intersects on a point, but typically, planes intersect on lines. Therefore, technically the answer to this problem is false, as two planes usually intersect on a line.

Images credits: Geogebra

8 0
3 years ago
Read 2 more answers
What is the area of this composite shape?<br><br><br> Enter your answer in the box.<br><br> _in²
LuckyWell [14K]

The area of the composite figure is 40 in^2

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle (A_1):

The formula is given by

A_1=length\times width

where length = 5 and width = 5

Substituting, we have,

A_1=7\times 5=35 in^{2}

Thus, the area of the rectangle = 35 i n^{2}

Area of the triangle (A_2):

The formula is given by

A_2=\frac{1}{2} bh

where b=5-3=2 i n

and h=12-7=5 \text { in }

Substituting, we have,

A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}

Thus, the area of the triangle = 5in ^{2}

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = 35 i n^{2}+5 i n^{2}=40 i n^{2}

Thus, the area of the composite figure is 40 in^2

3 0
3 years ago
oy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x
Evgesh-ka [11]
Add
2x+x²+7+x-2
x²+3x+5 is the distance
7 0
3 years ago
HELP ASAP:( Roberto lives thirty-eight miles from his college. During school, he rides his bike at 5 mph to the bus station. He
KATRIN_1 [288]

Answer:

Step-by-step explanation:

4 miles I believe

5 0
3 years ago
Read 2 more answers
Eleven subtracted from two times a number is -31.
erica [24]

Answer:

x=-10

Step-by-step explanation:

2x-11=-31\\

Add 11 on both sides.

2x-11=-31\\2x=-20\\2x/2x=-20/2\\x=-10

7 0
2 years ago
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