In Exercises 5 and 6, the figures are similar. Find the missing corresponding slde length. 5. Figure A has a perimeter of 60 inches and one of the side lengths is 5 inches. Figure B has a perimeter of 84 inches. 6. Figure A has an area of 4928 square feet and one of the side lengths is 88 feet. Figure B has an area of 77 square feet. 7. In the diagram, Delta ABCsim Delta ADE a. Find the scale factor from Delta ABC to Delta ADE b. Find the value of x. C. Find mangle ABC. d. The perimeter of Delta ABC is about 42.4 units. Find the perimeter of the Delta ADE e. The area of Delta ABC is about 71.75 square units. Find the area of the Delta ADE f. Is overline (BC)Vert overline (DE) Explain your reasoning.

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In Exercises 5 and 6, the figures are similar. Find the missing corresponding slde length. 5. Figure A has a perimeter of 60 inches and one of the side lengths is 5 inches. Figure B has a perimeter of 84 inches. 6. Figure A has an area of 4928 square feet and one of the side lengths is 88 feet. Figure B has an area of 77 square feet. 7. In the diagram, Delta ABCsim Delta ADE a. Find the scale factor from Delta ABC to Delta ADE b. Find the value of x. C. Find mangle ABC. d. The perimeter of Delta ABC is about 42.4 units. Find the perimeter of the Delta ADE e. The area of Delta ABC is about 71.75 square units. Find the area of the Delta ADE f. Is overline (BC)Vert overline (DE) Explain your reasoning.

Answer 1

Let's solve each question step by step:### Exercise 5:Figure A has a perimeter of 60 inches and one of the side lengths is 5 inches. Figure B has a perimeter of 84 inches.Step 1: Determine the scale factor between the perimeters of Figure A and Figure B.Scale factor = Perimeter of Figure B / Perimeter of Figure AScale factor = 84 inches / 60 inchesScale factor = 1.4Step 2: Use the scale factor to find the corresponding side length in Figure B.Corresponding side length in Figure B = Scale factor * Side length in Figure ACorresponding side length in Figure B = 1.4 * 5 inchesCorresponding side length in Figure B = 7 inchesAnswer: The missing corresponding side length in Figure B is 7 inches.### Exercise 6:Figure A has an area of 4928 square feet and one of the side lengths is 88 feet. Figure B has an area of 77 square feet.Step 1: Determine the scale factor between the areas of Figure A and Figure B.Scale factor (for area) = Square root of (Area of Figure B / Area of Figure A)Scale factor (for area) = √(77 sq ft / 4928 sq ft)Scale factor (for area) = √(1 / 64)Scale factor (for area) = 1 / 8Step 2: Use the scale factor to find the corresponding side length in Figure B.Corresponding side length in Figure B = Scale factor (for area) * Side length in Figure ACorresponding side length in Figure B = (1 / 8) * 88 feetCorresponding side length in Figure B = 11 feetAnswer: The missing corresponding side length in Figure B is 11 feet.### Exercise 7:Given: Pentagon ABCDE, where AB = 10, BC = 12, DE = 21, BD = x, ∠A = 40°, and ∠E = 32°. It is also given that

.a. Find the scale factor from

to

.Since the triangles are similar, the scale factor is the ratio of corresponding sides.Step 1: We need two corresponding sides to find the scale factor. However, we only have one side of

, which is DE. We need either AD or AE to find the scale factor. Since we don't have this information, we cannot find the scale factor directly from the given information.b. Find the value of

.Without additional information or a second pair of corresponding sides, we cannot find the value of

.c. Find

.Since

, the angles at A are equal in both triangles. However, we cannot find

without additional information about the other angles or sides of the triangles.d. The perimeter of

is about 42.4 units.This information does not help us find

without additional details.e. The area of

is about 71.75 square units. Find the area of the

.Without the scale factor, we cannot find the area of

.f. Is

?To determine if

, we would need to know the measures of the interior angles of the pentagon or additional properties that imply parallelism. With the given information, we cannot conclude whether

or not.In summary, without additional information or a complete set of corresponding sides and angles, we cannot solve parts a, b, c, e, and f of Exercise 7.

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