c) ABCD is a rectangle with AD =12 cm and CD = 20 cm as shown in Figure 1. The line segment DE is drawn making an angle of 30° with AD, intersecting AB in E. Find the lengths of DE and EB. [7 marks] 30° 20 cm Figure 1 12 cm

Q: Consider the figure. 68 142 What is the measure of angle z? O 38 O74 O 106 O143 IN

A: To find the measure of angle z

Q: 1. In tríangle ABC, b 5, c 8 and mzA = 25. Find the area.

A: topic - area of triangle

Q: The measures of the angles of a triangle are shown in the figur ((8х-15)° 330 Type here to search a

A: As we know that sum of all the 3 angles of a triangle is equal to 180 degree

Q: 7. In the diagram to the right, GE and BI are perpendicular to each other, MLACB = 65° and mzFDH =…

A: Given data:     The line GE is perpendicular to BI : m∠DHI=m∠DHC=90°. The given measurement of the…

Q: A compass was used to mark off three congruent segments, AB, BC, and CD. Thus, AD has been trisected…

A: Measurement: A line AE which bisect at three points are B,C,D respectively. We are given that…

Q: Let AABC be a triangle with AB = 3, AC = 4, BC = 5. Determine the measure of the angle between the…

A: In the right angle triangle the circumcenter lies in the mid point of the hypotenuse. The…

Q: Draw a line AB of length 55 mm and construct an angle BAC of 120° so that the length AC is 62 mm.…

A:

Q: 3. In AABC, AB = 5, BC = 12, and AC = 13, what is the smallest angle of triangle ABC?

A: We know that a triangle ABC is a right angle triangle if it satisfy the Pythagoras theorem, that is…

Q: In the figure below, sides DG and DE are congruent, and angles GDF and FDE are congruent as marked.…

A: topic - triangles

Q: 1. In this diagram, name an angle that is IT a) supplementary to ZLQR b) supplementary to ZPQT d…

A: Supplementary  to an angle means sum of two angles is 180°(theorem 1) Complementary to an angle…

Q: 6) Given AABC with a = 9 inch , b = 6 inch and c = 14 inch. Find the measures of the angles.

A: Here, we have been given that a=9 inch, b=6 inch and c=14 inchOur Aim is to find the measure of the…

Q: 5. Sketch and then find the indicated side or angle for each of the following triangles. a) In AABC,…

A:

Q: A compass was used to mark off three congruent segments, AB, BC, and CD. Thus, AD has been trisected…

A: AD has been trisected at points B and C.

Q: In the figure below AB and CD are perpendicular to BC and the size of angle ACB is 31°. Find the…

A: Here given data  ACB angle = 31° AB=6 CD=9 apply trigonometric function at angle C so we get tanC…

Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 452° angle…

A: Two angles are said to be coterminal angles, if, when drawn in the standard position, have their…

Q: The measure of each interior angle of a regular pentagon is _____?

A: We have to find the measure of each interior angle for regular pentagon. We know that in regular…

Q: In right triangle ABC, we have that b = 19.5, and the measure of angle A is 72°. Approximate the…

A: We are given right triangle ABC such that b=19.5 and ∠A=72° as shown

Q: AD and DC DC and CA Use the diagram to name the included angle between the given pair sides

A:

Q: 1 Find angle B (To nearestdaqree), a-17 ft, b= 23 St., &C = 30 ft. b=23 St, :

A:

Q: Given the triangle ABC, if side a is 40 cm, side b is 25 cm, and side c is 18 cm, find angle C.…

A:

Q: 1) From the given figure, name the largest angle is a) A b) B c) C d) D 2) Based on figure number 1,…

A: As per our guidelines we are supposed to answer only one question please post another question as…

Q: What is the measure of angle R, given the largest triangle is a right triangle? RA 12

A:

Q: Given mCED - 240°, determine the measure of the angle ZDBC. (You may assume that point A is the…

A: Central Angle and Arc Relationship : The measure of a central angle and the arc it intercepts are…

Q: The area of ​​a circular corner angle 45; is 20.25 cm2. Find the area of ​​the circle to which the…

A: We know that area of sector having radius r and angle on centre θ is given as Area of circular…

Q: In rectangle RECT, CT = 26 cm, AE = 16 cm, and mZERA = 23". Give the requested angle measures and…

A:

Q: On the basis of the information given, determine the measures (in degrees) of the remaining angles…

A: given    m∠B=46°

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m/CDB = 27,…

A: In this problem, we need to find AB

Q: Assume that the triangles formed by the legs of this camping cot are isosceles and that angle A is…

A: We have given triangle is an isosceles . So must be two sides are equal and their opposite angles…

Q: In the figure below, line segment AB is tangent to circle O at point A, secant BD intersects circle…

A:

Q: Find, angles A, B, and ACB shown in Figure 5. Assume AB andthe dashed line are both vertical.

A: Given-  To find- angles A, B, and ACB shown in Figure 5. Assume AB and the dashed line are both…

Q: 4. Given circle C, segment AD is tangent to circle C at D. Also, AD = 12 and BA = 8. Find the length…

A:

Q: A 10-foot rope connects the top of a tent pole to the ground. Ifthe rope makes an angle of 458 with…

A: Given:  Rope that connects the top of tent pole and ground= 10 foot…

Q: Given a triangle GHF, what angle is included between sides HF and FG?

A: Naming of angles of any triangles are done according the sides constructing  the angle  IF sides a…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: We have to find the angle

Q: 1. Tina is constructing an angle congruent to ZABC. What is her next step?

A: For constructing an angle congruent to ∠ABC we need to follow the below steps: 1. Draw a line and…

Q: In OP, if the measure of inscribed angle RST is 73, then the measure of arc RT is ?.

A: Given: m∠RST= 73 To find: m(arc RT)

Q: not sure how to get the measure of the other 2 angles

A: From the figure,   Given that, Calculate the angle FBE

Q: In rectangle ABCD of Figure P.25, the line segments AC and BD shown are the diago- nals of the…

A:

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: In △ABC, D is a  midpoint of AB¯ and E is a midpoint of BC¯ To evaluate : The value of m∠ACE if…

Q: A pipeline is to run between points A and B, which are seperated by a protected wetlands area. To…

A: Angle at C is 77.1 degree

Q: In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure…

A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

Q: A line BQ was constructed parallel to line AP using a compass and a straightedge, as shown in the…

A:

Q: Each angle of an equiangular triangle has measure ____?

A: To write: The measure of each angle in a equiangular triangle.

Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? C BC = Blank 1:

A: Given data: The length of midsegment is DE=5.

Q: In circle O, AE measures of each of the five angles in pentagon ABCDE. = 120° and CD = 42°. Find the

A: Consider the given circle O Given AE⏜=120° and CD⏜=42° We have to find five all angle within he…

Q: DE is a midsegment of triangle ABC. If BC = 8, what does DE = ? A 8 DE =

A: Given ∆ABC is   DE is a midsegment of ∆ABC & BC = 8We have to find DE

Q: Given square ABCD, let P and Q be the points outside the square that make triangles CDP and BCQ…

A: Here we find the angle ATP in given figure.

Q: Consider this right triangle. 57° C Enter the length of side AC, to the nearest tenth.

A:

Q: 5. In the regular pentagon ABCDE the interior diagonal AC is drawn. What is the degree measure of…

A: Given: The regular pentagon ABCDE. The interior diagonal AC is drawn. To find: The angle ∠ACD.

Q: The angle between 0° and 360° that is coterminal with the 454° angle is______degrees?

A: 454° = 360o + 94o