Proportions are used in geometry with similar triangles. If two triangles are similar, then the lengths of the corresponding sides are proportional. For the similar triangles shown, For Exercise, the triangles are similar with the corresponding sides oriented as shown. Solve for x and y. 7 cm 8 cm 12.8 ft х 12 ft II

Q: 1,86 m 1.2 m 9. 14.7m 13 m

A: A hockey player is 13 m from the close side of the goal net and 14.7 m from the far side ofthe goal…

Q: The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid…

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Q: two circles are touching externally, how many common tangents of them can be drawn? (A) One (B) Two…

A: Explanation of the answer is as follows

Q: 5 ft. x ft. 11° 8° the image to answer the question. Two ramps are placed back to back as shown.…

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Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: A lamppost is 6 feet high and casts an 8-foot shadow. At the same time of day, a flagpole directly…

A: We will find which proportion is best to use in order to find the height of flagpole as following.

Q: :: :: :: :: Find the scale factor of the figures. Then list all pairs of congruent angles. AABC ALMN…

A: We have to find

Q: 10 Solve for the measure of angle R R (14x – 4)° T U U (5x - 6)°

A: Given:

Q: The ratio of a circle's radius to its diameter is always 1 to 2. In math class, Russell uses his…

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Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 8. 15 H Based on this information,…

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Q: 2. Solve the triangle given below α 5 B Y B C Based on the length of the sides, which of the unknown…

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Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. (4x+4) (7+9)

A: According to the given figure the angles of the triangle measure as : 57°,(4x+4)°,(7x+9)° To find…

Q: In the figure shown, triangle MNP is an isosceles triangle with MN MP. Which is the measure of ZP?…

A: The given figure is

Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. (3x+13)°…

A: given,

Q: A circle having a diameter of 8 cm is inscribed in a sector of a circle whose angle is 80O. Find the…

A: We have to determine area of sector

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 8 15 R G Based on this information,…

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Q: 1) / A 8 4) 8 10 2) X k 45° 2 X 41° 15 B 3) 60° X

A: The main objective is to find the remaining side and angles of a right angle triangle.

Q: б. An equilateral triangle has a side length of 7 cm. If a perpendicular is dropped from a corner,…

A: Properties of equilateral triangle : All sides are equal . All angles are equal and equal to 60° .…

Q: Use similar triangles and a proportion to find the length of the lake shown here. (Hint: The side 80…

A: For similar triangles, we know that the ratio of the same sides is the same. The given two triangles…

Q: The roof of a house is to extend up h = 10.5 feet above the ceiling, which is { = 28 feet across,…

A: Given: h = 10.5 ft and l = 28 ft

Q: In a diagram of a landscape plan, the scale is 1 cm 10 ft. In the diagram, the trees are 3.1…

A: 1 cm = 10 feet 3.1 cm = 3.1 × 10 feet               = 31 feet

Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. (6x+4)°| 41°…

A: Sum of all Angles of a triangle is always 180°

Q: Solve the right triangle. Round lengths to the nearest tenth and angles to the n 2.47 cm B 2.2 cm…

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Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 15 R Based on this information,…

A: To find: The ratio is proportional to tan H. Concept used: If two triangles are similar then the…

Q: 8 B 15 17 A

A: The leg of a right angled triangle which is NOT adjacent to the specified angle is called opposite.

Q: 12 13

A: We have given a triangle ∆ABC ,where ∠C=90∘,∠B=θ ,AB=Hypotenuse=13 AC=opposite=12 ,BC=Adjacent=5 Now…

Q: In the right triangle below, the length of AB is 13 units and the length of CB is 12 units. What is…

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Q: 14. Solve AABC, given C = 23°, A = 56°, and b = 12. B =

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Q: The roof of a house is to extend up h = 10.5 feet above the ceiling, which is ℓ = 28 feet across,…

A: Pythagoras theorem.

Q: The measures of the angles of a triangle have the ratio 2:3:4. What is the measure of the smallest…

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Q: In the right triangle below, the length of AB is 13 units and the length of CB is 12 units. What is…

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Q: AABC~AEDC. Is the following statement true? * (АВ) (DC) — (ED) (BC O Yes, because of AA. Yes,…

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Q: The radius of the circular park is 63meters. Find the cost of fencing if at 12 pesos per meter? a.…

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Q: A

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Q: Given the triangle below, write all the possible trig ratios from the angle 0. Use math type to…

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Q: An isosceles trapezoid is inscribed in a circle. One of the angles measures 55°. Solve for the…

A: As we know sum of an cyclic quadrilateral is 360(degree) We have given it is isosceles trapezoid It…

Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. 81° (4x)°…

A: The solution is given below:

Q: 2. The measure of angle A in an equilateral triangle is 5x + 5. Solve for x. A. x = 11 B. x = 35 A'…

A: Given,          The measure of angle A in an equilateral triangle is 5x+5.

Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. 29° (x+17)°…

A: our objective is to find x.

Q: A circle has a circumference of 10m ft. An arc, x, in this circle has a central angle of 260 This…

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Q: An isosceles triangle has an area of 24 cm2, and the angle between the two equal sides is 57T/6.…

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Q: Image Question.

A: Consider the figure

Q: c. Which ratios of side lengths are equal to tan(a)? Type the answers in the boxes below. and

A: Given

Q: Identify the triangle as acute, obtuse, or right by comparing the squares of the side lengths. Show…

A: Using Pythagorean triplets,

Q: Reduce all answers to lowest possible terms, leave answers in reduced radica and reduce fractions…

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Q: 3. In a right triangle having one angle measuring 30° and the leg opposite that angle measuring 14,…

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Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

A: We have to fid the length of sides and measure of angle.

Q: The two triangles shown are similar, ∆ABC ~ ∆DFE. Calculate the missing side lengths (x and y).…

A: Given that: ∆ABC is similar to the ∆DFE To find lengths of x and y

Q: The two smaller angles of a right triangle have equal measures. Find the measure of the smaller two…

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Q: If the hypotenuse of a right triangle is known, what is the ratio of the base and the altitude of…

A: Let base = b and height = hSo, the hypotenuse=b2+h2=c (constant)From b2+h2=c we…