Mathematics, 14.06.2020 04:57 lowwlifelivv

2.In a parallelogram ABCD, AD = 28 feet, AB = 20 feet, and diagonal AC=26 feet. What is the measure of angle BCD?

Answers: 3

Show answers

Answers

Answer from: MannyBanko1350

The measure of angle BCD is 117°.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of side with same length and two pairs of angles. It is given that sum of all internal angles is equal to 360 degrees. According to the statement of problem, it is also given that AD = 28 feet, AB = 20 feet and AC = 26 feet (See attachment). As first step it is needed to find the value of the angle ABC by the Law of Cosine:

$AC^{2} = AB^{2} + AD^{2} - 2\cdot AB \cdot AD \cdot \cos B$

$\cos B = -\frac{AC^{2}-AB^{2}-AD^{2}}{2\cdot AB \cdot AD}$

$\cos B = -\frac{26^{2}-20^{2}-28^{2}}{2\cdot (20)\cdot (28)}$

$\cos B = 0.454$

$B \approx 63^{\circ}$

The measure of the angle C can be obtained by using the following identity:

$2\cdot B + 2\cdot C = 360^{\circ}$

$2\cdot C = 360^{\circ} - 2\cdot B$

$C = 180^{\circ} - B$

$C = 180^{\circ} - 63^{\circ}$

$C = 117^{\circ}$

The measure of angle BCD is 117°.

2.In a parallelogram ABCD, AD = 28 feet, AB = 20 feet, and diagonal AC=26 feet. What is the measure

Answer from: breanastone14

The measure of angle BCD is $117^{0}$ .

Step-by-step explanation:

A parallelogram is a four sided shape with equal and parallel sides.

From the given dimension, we have two triangles ABC and ADC.

From ΔABC, applying the cosine rule;

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

Let a = 28, b = 26 and c = 20. So that;

$20^{2}$ = $28^{2}$ + $26^{2}$ - 2 × 28 × 26 Cos C

400 = 784 + 676 - 1450 Cos C

400 = 1460 - 1450 Cos C

1450 Cos C = 1460 - 400

1450 Cos C = 1060

Cos C = 0.7310

C = $43.03^{0}$

⇒ <ACB = $43.03^{0}$

Also from ΔADC, applying the Cosine rule;

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

Let a = 20, b = 26 and c = 28

$28^{2}$ = $20^{2}$ + $26^{2}$ - 2 × 20 × 26 Cos C

784 = 400 + 676 - 1040 Cos C

784 = 1076 - 1040 Cos C

1040 Cos C = 1076 - 784

1040 Cos C = 292

Cos C = 0.2808

C = $73.69^{0}$

⇒ <ACD = $73.69^{0}$

<BCD = <ACB + <ACD

= $43.03^{0}$ + $73.69^{0}$

= $116.72^{0}$

The measure of angle BCD is $117^{0}$ .

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Answer from: Quest

she gotta workk that a 2

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 13:20

Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6

Answers: 1

Answer

Mathematics, 21.06.2019 14:30

Rai compares two cable plans from different companies. which equation gives the correct value of mm, the number of months for which plans a and b cost the same?

Answers: 2

Answer

Mathematics, 21.06.2019 17:20

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Answers: 3

Answer

Mathematics, 21.06.2019 17:30

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

Answers: 2

Answer

You know the right answer?

2.In a parallelogram ABCD, AD = 28 feet, AB = 20 feet, and diagonal AC=26 feet. What is the measure...

Questions