One of diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50 cm, and the length of one side is 1 cm longer than the length of the other?

Answers

Answer 1

Answer:

The length of that altitude is 5 cm.

Explanation

According to the below diagram, $ABCD$ is a parallelogram with diagonal $\overline{AC}$ as its altitude.

Suppose, the length of side $\overline{AB}$ is $x$ cm.

As the length of one side is 1 cm longer than the length of the other, so the length of side $\overline{BC}$ will be: $(x+1) cm$

Given that, the perimeter of the parallelogram is 50 cm. So, the equation will be.....

$2[x+(x+1)]=50\n \n 2(2x+1)=50\n \n 4x+2=50\n \n 4x=48\n \n x= 12$

So, the length of $\overline{AB}$ is 12 cm and the length of $\overline{BC}$ is (12+1)= 13 cm.

Suppose, the length of the altitude( $\overline{AC}$ ) is $h$ cm.

Now, in right angle triangle $ABC$ , using Pythagorean theorem....

$(AC)^2+(AB)^2= (BC)^2\n \n h^2+(12)^2= (13)^2\n \n h^2+144= 169\n \n h^2= 25\n \n h= √(25)= 5$

So, the length of that altitude is 5 cm.

5

In the number 1,860.5, the digit in the tenths place is "5." The tenths place is the first digit to the right of the decimal point, and in this case, it holds the value of 5 tenths or 0.5.

Answer:its the 6

Step-by-step explanation:trust

(x) = 3x+2
What is f(5)

A. 15
B. 10
C. 17
D. 21

Answers

Answer:

Step-by-step explanation:

Answer:

f(5) = 17

Step-by-step explanation:

to solve this, you need to plug in 5 to the equation, which is going to be 3(5) + 2. and then you solve for it, which you will get 17.

solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)

Answers

$y^2-10y+23=0\n y^2-10y+25-2=0\n (y-5)^2=2\n |y-5|=\sqrt2\n y-5=\sqrt 2 \vee y-5=-\sqrt2\n y=5+\sqrt2 \vee y=5-\sqrt2$

The area of a trapezoid is 322m2 one base is 12m and the height 14m what is the measure of the other base

Answers

Answer:

b = 34m

Step-by-step explanation:

Answer:

Depends on which base you mean, the longer base would be b=41.67

The shorter base would be a=39.67

Hope this helps :)

Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim?If D = dad's age now and J = Jim's age now, which of the following systems could be used to solve the problem?

a. D = 4J and D + 10 = 2J + 20
b. D = 4J and D + 10 = 2(4J + 10) + 20
c. D = 4J and D + 10 = 2(J + 10) + 20

Answers

Let's focus on the "In 10 years" part

in 10 years
D will be (D + 10)
and J will be (J + 10)

"twice Jim's age" would then be 2(J + 10)
and
"20 years more than" that would be 2(J + 10) + 20

so
the answer with
D + 10 = 2(J + 10) + 20
would be your answer
that is, C.

Answer: The correct answer would be C:

Step-by-step explanation:

D=4J and D+10=2(J+10)+20

Other Questions

Find the difference 4/9-2/17

In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can be used to determine if the triangle is a right triangle?a squared = c squared2 a squared = c squareda Superscript 4 Baseline = c squared2 a = c

A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank

If y = 3 when X = -9 find X when y =5