Jasmine claims that the two triangles are congruent since the Side-Angle-Side (SAS) triangle congruence criterion ensures that a
sequence of transformations will carry one triangle onto the other.
Which of the following statements best describes Jasmine’s claim?
1. The claim is correct since a translation carries one triangle onto the other.
2. The claim is correct since SAS is an acceptable triangle congruence criterion.
3. The claim is incorrect since SAS is not an acceptable triangle congruence criterion.
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion.
Image of triangles:
Which of the following statements best describes Jasmine’s claim?
1. The claim is correct since a translation carries one triangle onto the other.
2. The claim is correct since SAS is an acceptable triangle congruence criterion.
3. The claim is incorrect since SAS is not an acceptable triangle congruence criterion.
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion.
Image of triangles:
1 answer:
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The statement which correctly describes the shaded region for the inequality is
Further explanation:
In the question it is given that the inequality is .
The equation corresponding to the inequality is
.
The equation represents a line and the inequality
represents the region which lies either above or below the line
.
Transform the equation in its slope intercept form as
, where
represents the slope of the line and
represents the
-intercept.
-intercept is the point at which the line intersects the
-axis.
In order to convert the equation in its slope intercept form add
to equation
.
Now, divide the above equation by .
Compare the above final equation with the general form of the slope intercept form .
It is observed that the value of is
and the value of
is
.
This implies that the -intercept of the line is
so, it can be said that the line passes through the point
.
To draw a line we require at least two points through which the line passes so, in order to obtain the other point substitute for
in
.
This implies that the line passes through the point .
Now plot the points and
in the Cartesian plane and join the points to obtain the graph of the line
.
Figure shows the graph of the equation
.
Now to obtain the region of the inequality consider any point which lies below the line
.
Consider to check if it satisfies the inequality
.
Substitute and
in
.
The above result obtain is not true as is not greater than
so, the point
does not satisfies the inequality
.
Now consider to check if it satisfies the inequality
.
Substitute and
in the inequality
.
The result obtain is true as is greater than
so, the point
satisfies the inequality
.
The point lies above the line so, the region for the inequality
is the region above the line
.
The region the for the inequality does not include the points on the line
because in the given inequality the inequality sign used is
.
Figure shows the region for the inequality
.
Therefore, the statement which correctly describes the shaded region for the inequality is
Learn more:
- A problem to determine the range of a function brainly.com/question/3852778
- A problem to determine the vertex of a curve brainly.com/question/1286775
- A problem to convert degree into radians brainly.com/question/3161884
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Linear inequality
Keywords: Linear, equality, inequality, linear inequality, region, shaded region, common region, above the dashed line, graph, graph of inequality, slope, intercepts, y-intercept, 6y-3x=9, 6y-3x>9, slope intercept form.
The solution is mathematically given as
- P(X=3)= 0.17
Generally, the equation for the Probability of P(X=3) is mathematically given as
b)
Therefore
P(X=3)= 0.17
c)
a)
Read more about cumulative probability distribution.
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