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Q: The following diagram shows two similar triangles, ARST AUVW. What is the missing value of b? 12 16…

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Q: Compare the corresponding sides of the triangles, AC and DF BC EF Are triangles ABC and DEF similar?…

A: Given data: The first side of the first triangle is AC=36. The first side of the second triangle is…

Q: Edward and his daughter, Jeanie, see their shadows while they are walking. Edward is 69 inches tall,…

A: Edward and his daughter, Jeanie, see their shadows while they are walking. Edward is 69 inches tall,…

Q: Explain why it is impossible to have a triangle with side lengths a = 9, b = 14, and c = 25.

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Q: 2 feet, 40 inches

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Q: 8. If the triangles below are similar, find the perimeter of triangle DEE. C D 30 12 A 24 В

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Q: 2. The triangles are similar. Find the missing side x if a = 30 m, b= 90 m, c= 52 m. a

A: Given: ∆ABC and ∆DEC are similar. a=30 mb=90 mc=52 mx=?

Q: 1. What is the area of a right triangle with vertices of (-2, -4), (2, -4), and (2, 5)? A. 97 units…

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Q: Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He…

A: Consider the figure show below.

Q: Are these triangles similar? Why or why not? A H 84 14 72 12 G F C B 48 00

A: These traingle are similar because their sides and angle are equal.

Q: Approximate the remaining parts of triangle ABC.β = 115°, a = 4.6, c = 7.3

A: Given  The triangle  ABC having β = 115°, a = 4.6, c = 7.3 .

Q: The length of a rectangle is 5cm and the width is 3cm. What is the length of a diagonal? Leave the…

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Q: Find the length of side x and side y given that the triangles are similar. 25 35 B' 10 y 50 C A' X…

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Q: Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes…

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Q: 16 30 33 34

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Q: Given the side lengths a=63, b=62.5, c=72.9, find the area of the triangle formed

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Q: Grace plotted the points A(1,2), B(3,–3), C(–5,–7), and D(–7,–2) on a coordinate plane. She then…

A: Letus plot the points on the graph paper.

Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: From a point outside an equilateral triangle, the distances of the vertices are 10 m, 18 m and 10 m…

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Q: Identify the similar triangles. 48. Μ Ο Ν a. ΔΜΟΝ -ΔΙΝM- ΔΙΜΟ b. ΔΜΝΟ-ΔΙΜN-ΔΙΜΟ

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Q: Which TWO options could be used as a setup for this triangle? d 9. %3D

A: We solve it by following steps.

Q: The following diagram shows two similar triangles. What is the missing value of x? 12 97 18

A: Here we have to find the value of x = ?

Q: Ted skated through one of the face-off circles at as skating rink. His path through the circle is…

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Q: The sum of the measures of the interior angles of a certain polygon is the same as the sum of the…

A: To find the number of sides of the polygon: Let n be the total number of sides of polygon. Total Sum…

Q: Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He…

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Q: Consider the figure below. Sink 7 ft Stovetop 2 ft Refrigerator Darius is remodeling his kitchen.…

A: For the solution follow the next step.

Q: You are given an equilateral triangle whose perimeter is 24. Find the area of the triangle.

A: T find- the area of the triangle.

Q: The area of a triangle with vertex angles A=61.159°, B=34.246°, C=84.595° is 680.60sqm. The longest…

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Q: From a point outside of an equilateral triangle, the distances to the vertices are 10 m., 18 m., and…

A: Given; From a point outside of an equilateral triangle, the distances to the vertices are 10 m., 18…

Q: On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 40…

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Q: John-Olotu, Pel Kim is repainting a storage trunk shaped like a rectangular prism as shown. 0.50…

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Q: Enrique stated that the figures below were regular polygons because the sides in each figure are…

A: for a regular polygon sides and angle must be equal. so these are not regular polygons.

Q: In the diagram to the right, D, E, and F are the midpoints of sides BC, AC, and AB of A ABC…

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Q: A mosaic is designed in the shape of an equilateral triangle, 12 feet on each side. Each tile in the…

A: Counting triangle

Q: The diagram below consists of 3 triangles: ABC, ACD and ADE. E 4cm D 5cm 6cm A 5cm B ) Find AC )…

A: In a right-angled triangle,      Pythagoras theorem says that,…

Q: A= 115.5degrees, a=45.9cm, b=25.4cm, find the values of the two triangles

A: A=115.5°, a=45.9 cm, b=25.4 cm. By using sine rule, we have…

Q: Find the measures of the angles of the triangle whose vertices are A = (- 10). B = (32) and C = (3 -…

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Q: A right triangle and two of its side lengths are shown in the diagram. 39 cm 12 cm X cm

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Q: The diagram shows a triangle. 5p 55° P+17°

A: The sum of  angles of a triangle =180°

Q: according to mother she only remembers the area of each portion. What do you think should the…

A: If l and w are the length and width of a rectangle respectively.Then the area of the rectangle is…

Q: Jamie marked each vertex of a square-based pyramid with numbers 1 to 5. Then she calculated the sum…

A: Let us draw a square based pyramid ABCDE, which has five sides namely-ABE, ACE, ADE, ABC ( all these…

Q: The figures A and B are similar. Figure A has an area of 48 square feet and one of the side lengths…

A: Given, Two figures A and B are similar.  Area of figure A is 48 square feet and one of the side…

Q: Which 3 segment lengths [to the right], could be used to make a triangle from endpoint to endpoint…

A: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

Q: In AABC, the measure of ZA is 42°. The measure of ZB is 8 less than twice mLA. What is the measure…

A: In ∆ABC,m∠A = 42°According to question, ∠B is 8 less than twice m∠A.∠B = 2∠A-8∠B = 242-8∠B = 84-8∠B…

Q: The figure below shows two right triangles dra If LABD = 52°, C = 43°, and BC = 22, find x a X = h =…

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Q: W V /125 30

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Q: 4. Bradley has a flower garden in the shape of a trapezoid as shown below. Daisies 10 feet 6 feet…

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Q: The figure shows a square and 4 congruent isosceles triangles. If the length of leg x is 12 feet,…

A: Given that the length of x = 12 feet

Q: Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He…

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Q: The two triangles in the picture are similar. What is the value of y? 24.5 3.5 y 1.0

A: The given triangles are similar to each other with smaller triangle lengths 1.0 and 3.5,  larger…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.