5. The graph of f is shown below. Let g(x) = ª* f(t) dt 3- 2 -1- 0 1 2 3 4 5 /6 7 8 9 10 11 थी -1 -2 --3 36 (a) Find the average value of ƒ on the interval [0, 12] if g(12) = ㅠ (b) At what value of x on the interval [0, 12] does g(x) (not f(x)) reach its absolute maximum? Briefly explain your reasoning. 12

Q: 3. In the figure, AB || CD || EF. a. If AC = 8, AE = 20, BF = 15 and AF = 17.5, find BD, DF, AX and…

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Q: a) Given two parallel lines cut by a transversal line, explain why: ● ● Corresponding angles are…

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Q: Using the figure below, find the missing angle measures. 45 cm 72 cm x=51°, y = 39° A. x = 39°, y =…

A: Here we use the trigonometric ratio to find the angles Sinθ=HeightHypotenus   and…

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Q: 5. If measure of LZA = (5x-7), find x, mzA and mZE. R S 50° X P 82 E T A

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: How do you construct a Obtuse Isosceles Circumcenter?

A: Here we will construct the circumcenter of obtuse isosceles triangle,

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A: We need to sketch figure.

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Q: A stick 1 meter long casts a shadow 0.9 meters long. A building casts a shadow 21 meters long. How…

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Q: Practice Exercises: For items 1-, refer to the figure at the right. Suppose m || n. A. Name the…

A: Topic = Geometry

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Q: Given parallelogram PQRS, what is the measure of LQ? P S 8x+3 2x+7 R OA 41° OB 17⁰ OC 71° OD 139⁰

A: Solving the problem by finding the required value.

Q: Q₁3 1f y= ln |cschx + coth xl, fnd dy

A: Given :y=lncschx+cothx

Q: 10) Find the missing values in the figure below. sin S A. AD 1.5 cm, DC = 1.5 cm B. AD= 3 cm, DC =…

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Q: 36) The lengths of the sides of a triangle are 5, 7, and 8. If the length of the longest side of a…

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Q: Find an equation of the line having the given slope and containing the given point. m=8/9,(5,-8)…

A: solution:-slope, m=89point (x1, y1)=5, -8

Q: What dilation maps triangle ABC onto triangle A'B'C' below? C *B ARIAS) B. (x, y) → (0.5, 0.5) C 3…

A: Given problem:-

Q: 2. Use the graphs of y=f(x) and y=g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

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Q: 9) Determine the two missing lengths in the triangle below: Bo a 20 m A. 20-√√3 40 3 b = 3 3 40-√√3…

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Q: A triangle has vertices at A(1, -2, 3), B(8,-4,1), and C(6,1,5). Find the Area of the triangle.

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Q: A submarine dives as shown in the diagram. sea level End dive. 500 ft Xº Begin dive. 125 ft

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Q: 1

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Q: D- for the function below, the domain and the range is respectively y = x²/5

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Q: Find mED in circle A. 61° D MED=0 Type an integer or a decimal. Do not include the degree symbol in…

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Q: 1 m S Line n and m are parallel and liness and t are parallel, as shown. If the measure of Z1 is…

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Q: etermine the center and the radius of the circle. (x+6)2+(y-5)2=54

A: Topic = Circle

Q: What inscribed polygon is being constructed? Explain how you know.

A: Given:

Q: Given: ∠NOM+∠H+∠N=180∘ Prove: 1) ∠NOM >∠H, 2) ∠NOM=∠H+∠N. Use paragraph proof in the space provided…

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Q: The radius of a circle is 8 feet. What is the length of a 90° arc?

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Q: 1. A rectangular swimming pool measures 14 feet by 30 feet. The pool is surrounded on all four sides…

A: pool size = 14*30 ft pool is surround by 3 feet wide path  so total path area  = 14*3 + 30*3 + 30*3…

Q: 6. What is the area of the figure belo appropriate. Area = 4" 1255" Foottis 3.3" 9" hundredth when…

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Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

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Q: 13. For the three-part question that follows, provide your answer to each part in the given…

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Q: Write an equation of the line sastifying the given conditions. Write the answer in standard form…

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Q: Given below, length of BD is? D A. √12 3. √13 C. 13. D. 12 E. none of the above A 2 3 2 C 3 B

A: Angles in a semi circle is 90°

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A: Given

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Q: calculate the volume of the water inside a 6in radius hemispherical bowl if the height of the water…

A: The volume of water of height h inside a hemispherical bowl with radius R.

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A:

Q: C -H I LL M E

A: Given: m∠CDE=120∘. DH bisects ∠CDF, so  m∠CDH = m∠HDF DM bisects ∠FDE. m∠FDM = m∠MDE

Q: Shape of Faces Edges Vertices base Triangle 4 6 4 Square 5 8 5 Pentagon 6 10 6 Hexagon 7 12 7 Write…

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Q: measure of an angle and its complement are in the ratio 4:11. Find the measure of the two angle

A: Topic = Geometry