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liraira [26]
3 years ago
8

Can someone please help me with both of these, I'll appreciate it:)

Mathematics
1 answer:
Kipish [7]3 years ago
7 0
2) the answer is the fourth one because they're both moving together so they'd remain at the same distance

3) also the angles shouldn't have changed. like number two it moves as a whole so nothing changes, so it is choice 3 40 degrees
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Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
Kaiden deposited $6200 into a savings account for which interest is compounded weekly at a rate of 2.77%.
scoray [572]
A=p(1+i/m)^mn
A=6,200×(1+0.0277÷52)^(52×8)
A=7,737.59
Interest earned=7737.59-6200=1537.59
5 0
3 years ago
A piece of string 25 and 1/2 inches long will be cut into 3/4 inch pieces how many pieces will there be
olga2289 [7]

you would have 9.375 pieces or 75/8 pieces, depends on how you look at it

6 0
3 years ago
Determine the slope of the poitns (0,6) & (4,0)
Ugo [173]
Slope = (0 - 6)/(4 - 0) = -6/4 = -3/2
8 0
3 years ago
Read 2 more answers
I need help on questions 48 49 and 50 and u need to find the surface area of the 3 polyhedras please and thank you!
White raven [17]

48. The surface area of a cylinder is given by

... A = 2πr² + 2πrh = 2πr(r+h)

For r = 13 mi and h = 7 mi, this becomes

... A = 2π(13 mi)(13 mi + 7 mi) = 520π mi²

The surface area of the cylinder is 520π mi² ≈ 1634 mi².

49. The surface area of a rectangular prism is

... A = 2(LW + H(L+W))

For L = 20 m, W = 10 m, H = 7 m, this becomes

... A = 2((20 m)(10 m) + (7 m)(20 m + 10 m)) = 2(200 m² + 210 m²) = 820 m²

The surface area of the prism is 820 m².

50. The formula is the same as for problem 48.

For r = 10 m and h = 13 m, this becomes

... A = 2π(10 m)(10 m + 13 m) = 460π m² ≈ 1445 m²

The surface area of the cylinder is 460π m² ≈ 1445 m².

_____

When calculations are repetitive, it is convenient to let a calculator or spreadsheet do them.

7 0
3 years ago
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