Is there a picture so I can help
If a function has roots -1 and -5, it must be in the form
We can fix the coefficient a by imposing the passing through (0,-30):
So, the function is
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.
Step-by-step explanation:
When you move point A horizontally to the right or left, the measures of angles ADC and ADE change, but the sum of their measures is always 180° since angles ADC and ADE are a linear pair and are supplementary, so the sum of their measures is 180°.
The same is true of point B moving horizontally and the measures of angles BEF and BED.
Answer:
3/1
Step-by-step explanation:
Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.
The only angle of triangle DEF we have is ∠E, which is 7. This corresponds with ∠B; this makes the scale factor of ABC to DEF
21/7 = 3/1.
