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A If Angle ABD is congruent to Angle EEB, then two pairs of triangles are congruent in this figure. CBB Concepts used: Isosceles triangle, Angles opposite congruent sides are congruent, base angles are congruent, triangle congruence theorems, and CPCTC Color-code all corresponding congruent parts with the same color . Label congruent angles using letters such as xe and y°, etc. Name the two triangles that are congruent State which triangle congruence theorems/corollaries apply. Show work on the figure that verifies...
Moment for Discovery SSS Theorem Via Kites and Darts Two geometric figures, the kite and dart, though elementary, are quite useful. The figures we have in mind are shown in Figure 3.26, where it is assumed that AB = AD and BC = CD. The dart is distinguished from the kite by virtue of the eight angles at A, B, C, and D involving the diagonals AC and BD being either all acute angles (for the kite), or two of...
1 // This program will input the value of two sides of a right triangle and then 2 // determine the size of the hypotenuse. 3 4 // PLACE YOUR NAME HERE 5 6 #include <iostream> 7 #include <cmath> Il needed for math functions like sqrt() 8 using namespace std; 9 10 int main() 11 { 12 float a, b; // the smaller two sides of the triangle 13 float hyp; // the hypotenuse calculated by the program 14 15...
For the triangle below, you are given the lengths of
two sides.
1. (15pts) For the triangle below, you are given the lengths of two sides, a=6 and b = 2. An angle a is shown, but its value is not given a) Use the triangle to find the exact values of the six trig functions at the angle a Sin a= Cos ar Csc a= Tan a= Sec a= Cot a= b) Use a calculator to find the values,...
The results of two CD tests on a sand at a confining pressure of 150 kPa are shown in the attached figure. Determine the critical state friction angle for the sand. 2 1 3
Numbers 6,10,17 and 29 please.
numbers 6,10,17 and 29 please.
CONCEPTS 10. A 24 10 1. For triangle ABC with sides a, b, and c the Law of Cosines 20 12 2. In which of the following cases must the Law of Cosines be used to solve a triangle? ASA SSS SAS SSA 11-20Solve triangle ABC SKILLS 3-10Use the Law of Cosines to determine the indicated side x or angle 0 12. 12 120° 4. С *. 13, a С...
Two sides of aright triangle ABC (C is the right angle) are given. Find the ind icated trigonometric function of the given angle. Give exact answers with rational denominators. 1 Find cos A when a -7 andb 2 A) 53 53 C) 1 53 D 2153 2) Find csc B when a-4 and b-5 2) A) 4 5-41 Solve the problem 3) Find tan P 20 A) tan P- B) tan P- C) tan P.4 D) tan P. 4 Find...
QUESTION 1
Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x
+ 15, find the value of x.
15
15
18.75
7.5
2 points
QUESTION 2
Determine whether parallelogram JKLM with vertices J(-1, 1),
K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or
all three.
rhombus
square
rectangle
rhombus, square and rectangle
2 points
QUESTION 3
In rectangle JKLM, JK is equal to 12 feet, and LN is equal...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths 3,2 and 1. b) Identify the adjacent and opposite sides relative to the 30° angle c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle. 2) a) Draw a right triangle that has one angle measuring 45°. Label the sides using the lengths 1,1, and VE b) Identify the adjacent and opposite sides relative to one of...