Mathematics, 21.07.2019 10:00 rosepetals2938

Given: cdkm is a parallelogram, da ⊥ ck , dk – cd = 7 ca = 6, ak = 15 find: cd and dk

Answers: 1

Show answers

Answers

Answer from: sierravick123owr441

In the parallelogram CDKM the value of the line segment CD and DK is 10 units and 17 units.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

The quadrilateral CDKM is a parallelogram. In this parallelogram, the side DA is perpendicular to the side CK.

The difference of the side DK and CD is,

$DK - CD = 7\\DK=7+CD$

The length of the line segment CA and AK is 6 units and 15 units respectively.Then by the Pythagoras theorem,

$(AD)^2=(CD)^2-(AC)^2\\(AD)^2=(CD)^2-(6)^2$ ....1

Again by using the Pythagoras theorem

$(AD)^2=(Dk)^2-(AK)^2\\(AD)^2=(DK)^2-(15)^2$

Put the value of (AD)², from equation 1 in the above equation as,

$(CD)^2-6^2=(DK)^2-(15)^2\\(CD)^2-36=(DK)^2-225$

Put the value of DK in the above equation as,

$(CD)^2-36=(7+CD)^2-225\\(7+CD)^2-(CD)^2=225-36\\(CD)^2+14CD+49-(CD)^2=189\\CD=10$

Hence, the value of DK is,

DK=7+10DK=17

Hence, In the parallelogram CDKM the value of the line segment CD and DK is 10 units and 17 units.

Learn more about the Pythagoras theorem here;

link

Answer from: abbiiee

With the information given, the triangle CAD and KAD are both right angled triangle and they share the base AD.

So we can form 2 equation and solve them simultaneously.

(AD)²=(CD)²-(AC)²
(AD)² = (CD)² - 6² (i)

(AD)² = (DK)² - (AK)²
(AD)² = (DK)² - 15² (ii)

But DK - CD = 7. So, DK=7+CD
Now let CD=x
From the 2 equations above,
(AD)²=x²-36 (i)
(AD)²=(7+x)²-225 (ii)

x²-36=49+14x+x²-225
14x=140
x=10

CD = 10.

DK = 7+CD
= 7+10
= 17

Answer from: Quest

Find the perimeter of the figure shown above with a side length 5 units.(each figure is a square).a.10 unitsc.30 unitsb.20 unitsd.40 units select the best answer from the choices providedabcdmark this and return

Answer from: Quest

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

Another question on Mathematics

Mathematics, 21.06.2019 12:30

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

The volume of a cube is 8 in to the 3rd power. how long is each side?

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Solve for x. −3/4(x+2)=6 enter your answer in the box

Answers: 1

Answer

You know the right answer?

Given: cdkm is a parallelogram, da ⊥ ck , dk – cd = 7 ca = 6, ak = 15 find: cd and dk...

Questions