Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
- let us plot f(x), g(x) on y-axis
so, f(x)=y and g(x)=y.
- the first equation can be written as y=5-2x
- the general equation of a straight is y=mx+c
( where m is the slope and c is the y-intercept )
- now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
- the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
- now plot the graph using above information.
(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
- by seeing the graph, the value of x is 2.625.
<u>Congruency</u> property relates to two or more <em>triangles</em> with similar <em>dimensions</em>, and internal<u> angles</u>. So that the required <u>statements</u> to complete the proof are:
1. <em>definition</em> of a <u>straight</u> angle.
2. <u>subtraction</u> property of equality
3. <em>corresponding</em> sides of <u>similar</u> triangles are <u>proportional</u>
4.<u> transitive</u> property of <em>equality</em>.
The <u>intersection</u> of two or more lines forms a number of <em>angles</em> which depends on the <u>number</u> of lines involved. These <u>angles</u> formed may have <em>similar</em> or<em> different </em>properties.
When two or more <u>triangles</u> have <em>similar</em> lengths of <u>sides</u> and measure internal <u>angles</u>, it can be said that they are congruent. Thus they have some <u>common</u> properties.
Therefore, the appropriate <u>statements</u> to answer the given <em>question </em>are stated below:
- <em>Definition</em> of a <u>straight</u> angle.
- <u>Subtraction</u> property of equality.
- <em>Corresponding</em> sides of <u>similar</u> triangles are <u>proportional.</u>
- <u>Transitive</u> property of <em>equality</em>.
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/15835221
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Answer:
Correct option: C (it is missing the point)
0.53
Step-by-step explanation:
When a ball rolls one revolution, the distance travelled is the length of its circunference, that is:
Circunference = pi * diameter
So, to solve this question, we can use a rule of three:
1 revolution -> pi * d
60 revolutions -> 100 feet
100 = 60 * pi * d
d = 100 / (60 * pi) = 0.53 feet
Correct option: C (it is missing the point).
Answer:
416867.47
Step-by-step explanation:
to round the tenths, simply take the second digit of the decimal and look at the digit to its right, if its more 5 or more you round it up by one. if its less, simply ignore the numbers to the right.