Answer:
Step-by-step explanation:
The two x angles on the right are supplementary which means they add up to 180 degrees
5x + 12 + 7x - 24 = 180
12x - 12 = 180
12x = 192
x = 192/12
x = 18
5x + 12 and y are corresponding angles and are therefore equal
5(18) + 12 = 90 + 12 = 102
Therefore y = 102
Answer:
640 Oz
Step-by-step explanation:
1 Lb = 16 Oz
40 Lb • 16 Oz = 640 Oz
hope this helps
Mark brainliest
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of
is a parabola that has its vertex at the origin.
The equation of the transformed graph is

The vertex of this transformed function is

Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
9514 1404 393
Answer:
A'(-4, -4), B'(6, -4), parallel
Step-by-step explanation:
The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:

Likewise:

Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

Likewise:

Since ∠QAC ≅ ∠PAB:

And by substitution:

Thus:

Then by SAS Congruence:

And by CPCTC:
