Can someone me with this. i’m having difficulty on this.

  1a. HL; rotation

  1b. AAS; rotation

  2. 45°

  3. ∠1=57°; ∠2=75°; ∠3=44°

  4. x=5; y=8; z=11

Step-by-step explanation:

1a. The horizontal line is a leg of each right triangle. The hypotenuse of each right triangle is marked congruent, so the two right triangles are congruent by the HL theorem. The bottom triangle is rotated 180° from the top one (about the midpoint of the horizontal segment).

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1b. The vertical angles are congruent, as are the right angles. The marked sides are congruent, but are not between the congruent angles, so the AAS postulate applies. Again, the bottom triangle is 180° rotated from the top one (about their common vertex).

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2. Exterior angle D is the sum of remote interior angles B and C, so ...

  105° = 60° + ∠B

  45° = ∠B

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3. ∠1 is supplementary to 123°, so is 180°-123° = 57°.

∠2 is a remote interior angle with respect to exterior angle 123°, so it plus 48° will total 123°. 123° -48° = 75° = ∠2

∠3 is the third angle in a triangle whose other two angles are 123° and 13°, so its measure is ...

  180° -123° -13° = 44° = ∠3

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4. The triangles are congruent, so corresponding sides and angles are the same measure.

  4x +4 = 24  ⇒  x = (24/4) -1 = 5

  22 -y = 14  ⇒  y = 22 -14 = 8

  (3z)° +128° +19° = 180°  ⇒  z = (180 -147)/3 = 11

the answers are in the picture below

Step-by-step explanation:

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

the answer is 48m^2!

step-by-step explanation: