Bruh its just 35. btw if it was negative 35 it would become positive 35.
Answer:
P (−11, 13), Q (−17, −19), R (23, 27)
Step-by-step explanation:
we know that
The reflection of a figure across the x-axis has the following rule
(x,y) -----> (x,-y)
so
P(-11,-13) -----> P(-11,13)
Q(-17,19) -----> Q(-17,-19)
R(23,-27) ----> R(23,27)
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
Answer:
116 students
Step-by-step explanation:
The standard deviation for a proportion is:
For any measured sample proportion x, the z score is given by:
The population proportion is 0.53
At the 14th percentile, the corresponding z-score is z =-1.08.
Since 0.48 is at the 14th percentile, the standard deviation is:
Therefore, the sample size 'n' is given by:
The sample size must have been of 116 students.
Answer:
Explanation:
<em>The line y = -1 </em>is horizontal: parallel to the y-axis.
The point<em> B (2,3)</em> is above <em>the line y = - 1 </em>at a distance equal to the y-coordinate of B (y = 3) less - 1:
When the <em>point B (2,3) </em>is <em>reflected over the line y = -1</em>, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence,<em> the coordinates of the vertex B'</em> are x = 2, y = - 5: (2, - 5).
