Answer:
See explanation
Step-by-step explanation:
Given 
According to the order of the vertices,
- side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
- side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
- side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
- angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
- angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
- angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
Answer:
Step-by-step explanation:
3/4 x 28=21 Madilyn built 21 toys.
1/7 x 28=4 Penelope built 4 toys.
21+4=25 25 toys have been built altogether.
28-25=3
There are 3 toys left to build.
Answer:
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Step-by-step explanation:
there is no scale factor (nothing to use)
thanks for the points though
have a blessed day :^)
No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.
<h3>When are Two Lines Proven to be Parallel to each other?</h3>
Two lines that are cut across by a transversal can be proven to be parallel to each other if:
- The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
- The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
- The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
- The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].
Thus, given the following information:
m∠2 = 115°
m∠15 = 115°
With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.
In summary, we can conclude that:
D. None of the options are correct.
Learn more about the Parallel lines on:
brainly.com/question/16742265
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When you write an equation of a line, you first have to find the slope. The equation for slope is (y∨2 - y∨1) / (x∨2 - x∨1), so fill that in with your coordinates.
(48 - 6) / (4 - 1) Subtract your two sets.
42 / 3 Divide
14
So, you know the slope of the equation is 14. Now, you fill in the point-slope equation, (y - y∨1) = m(x - x∨1). Fill it in with one set of coordinates and solve.
(y - 6) = 14(x - 1) Distributive Property
y - 6 = 14x - 14 Add 6 to both sides.
y = 14x - 8
