The drawing below shows a right-angled triangle. A straight line crosses the triangle parallel to the line z and encloses an angle of a. The lengths x and y of the bottom and top line segments as well as the angle a are given. Find an equation for the length z.

Q: The point P is on the unit circle. If the y-coordinate of P is −3/8 and P is in quadrant IV , then…

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Q: A woodcutter determine the height of tall tree by measuring a smaller one 125 ft away,then moving so…

A: First draw a diagram that describe this scenario. Let FG be the length of the tall tree. Let DE be…

Q: The diagram shows a right angled triangle ABC and a sector CBDC of a circle with centre C and radius…

A: The diagram for the given information is as follows, From the diagram BC is 12 cm. Traingle ABC is…

Q: Reflect the given triangle over the line y = -X. 0. -1 0. -3 -4

A: Given triangle  by the reflection over y=-x (x,y)→(-y,-x)

Q: The drawing below represents the frame for an isosceles triangle-shaped roof. The height of the roof…

A: Here we use trigonometric ratios to get the length of sides of triangles. Also we use Pythagoras's…

Q: For the triangle shown, A = 30 ° , B = 45 ° , and a = 32 centimeters. Find the remaining angle and…

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Q: The figure below is a square. Find the length of side x to the nearest tenth.

A: We know that length of the sides of the square are same and all the Angles of the square are right…

Q: B. C.

A: Given point A= (1,-2)

Q: The lengths of the three sides are given for several right triangles. For each, write an equation…

A: We know that in a right angle the square of longest side is equal to sum of square of  other two…

Q: in a archietects drawing for a new theater elevations are shown relative above 0 feet. the elevation…

A: In a archietects drawing for a new theater elevations are shown relative above 0 feet. the elevation…

Q: The point PP is on the unit circle. If the y-coordinate of P is −2/5 and PP is in quadrant III ,…

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Q: The point P is on the unit circle. If the y-coordinate of P is −4/5, and P is in quadrant IV , then…

A: Given a point P is on the unit circle and in 4th quadranty=−45

Q: Antonlo constructs the model below. T If he connects points T and Q, which other point should he…

A: Equilateral triangle

Q: Given AEFG~ AHIJ. Enter segments in the blanks provided that would result in a true equation. F E J

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Q: The circle in Figure 3 has its center at C and a radius of 18 inches.If triangle ADC is a right…

A: In the given figure - AB = xBC = 18AC = x+18CD = 18Now using Pythagoras theorem in ∆ACD, to evaluate…

Q: The figure below is a right triangle with side lengths a, b, and c. Suppose that m Z A does not…

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Q: lo0 70°

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Q: Find the distance from the Point P ( 31) and

A: The equation of the line is: y = x + 4 That is, x - y + 4 = 0 The point is (3, 1). We have to find…

Q: In the diagram below of triangle cde, F is a midpoint of CD and G is a midpoint of DE. if FG=9x-59,…

A: We have to find the measure of CE  For this we will use mid point theorem

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

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Q: An airplane leaves an airport and travels 100 mi in a direction of 300o. How far north of the…

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Q: ind the equation of the circle that circumscribes the triangle whose sides are formed by the lines…

A: Definition used -     For finding the center of the circumcircle, First, we have to find the…

Q: Figure 1 Figure 2

A: in figure 1) Both of the shapes have some hollow parts in their internal area which shows the some…

Q: Which figure represents the equation from the Pythagorean Theorem, a? +b = ? b.

A: Pythagoras theorem: In a right angle triangle, Hypotenuse2=Perpendicular2+Base2 If a triangle has a…

Q: The radius of a circle is 16 in. Find its circumference in terms of T.

A: Given that Radius of a circle is 16 in To find The circumference of a circle .

Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

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Q: a. Find the coordinates of the dilated figure by multiplying each coordinate by 3. A(1, 1) A' _ B(3,…

A: Given points of triangle : A(1,1)B(3,1)C(1,4)

Q: What would the coordinates of A' be if the triangle graphed below was reflected across the x-axis?…

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Q: The point P is on the unit circle. If the y-coordinate of P is −4/8, and P is in quadrant IV , then…

A: Given that ,     The point P is on the unit circle. If the y-coordinate of P is -4/8 and P is in…

Q: The figure below is an equilateral triangle with sides of length 6. The area of the triangle is

A: Area of an equilateral triangle of side a is =34a2

Q: the coordinates of the new point be? 2-

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Q: For the pair of similar triangles shown to the right, find the value of x. 2х 18 16 ...

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Q: The diagonals of a parallelogram are 16 meters and 14 meters and intersect at an angle of 60°. Find…

A: Diagonals of a parallelogram bisect each other, so AO=OC=8 m  and OD=OB=7 m ∠BOC + ∠AOB = 180o 60o +…

Q: in the point (x,2/5) what will be the value of x for the point to be inside the unit circle

A: x^2 + (2/5)^2 < 1 Use this equation to find all values of x

Q: In the diagram to the left, determine the value of x to the nearest tenth. Part A: Sketch the…

A: Finding the missing sides of the triangle from the given data

Q: AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67…

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Q: y +? = x? %3D +. %3D %3D

A: Use  pythagorous theorem

Q: The point P=(x,-1/3) lies on the unit circle shown below. What is the value of x in simplest form?

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Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 9x –…

A: Midpoint Theorem : Line segment joining the midpoints of two sides is always parallel and half in…

Q: Find the area of a sector of a circle of radius 12cm and whose central angle is 30 degrees.

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Q: The point P(x, y) is on the unit circle in Quadrant IV. If x = V5/3, find y. y =

A: x2+y2=1 In Quadrant IV, y is negative.

Q: A mosque has a "keyhole" entry consisting of a rectangle surmounted by a circle. The two opposite…

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Q: A mosque has a "keyhole" entry consisting of a rectangle surmounted by a circle. The two opposite…

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Q: Each problem that follows refers to triangle ABC.     If A = 50 degree , B = 60 degree  and a =36…

A: If A = 50° , B = 60°   and a =36 km, find C and then find c

Q: Show that the equation represents a cirde by rewriting it in standard form, AND find the center and…

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Q: Segment BD is a midsegment of triangle AEC. A B E Which equation could be used to find the value of…

A: Midpoint AB=ED and AE =1/2(BD)

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…

Q: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

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Q: The lengths of the legs of a right triangle is given. Find the hypotenuse. a = 5, b = 12

A: The hypotenuse can be determined using formula Hypotenuse(H)=A2+B2 where A and B are sides