An isosceles triangle with legs measuring 10 in and a vertex angle of 30 degrees.

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

Isosceles triangle is a triangle which has at least two of it's sides equal to each other.

Explanation:

In geometry, an isosceles triangle is a triangle that has two sides of equivalent length. Here and there it is determined as having precisely different sides of equivalent length, and at times as having at any rate different sides of equivalent length, the last form subsequently including the symmetrical triangle as an extraordinary case.

An isosceles triangle is a triangle with (in any event) two equivalent sides. In the figure over, the two equivalent sides have length and the staying side has length. This property is equal to two points of the triangle being equivalent.

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Craig saved $3,655.11, and Yegar saved $4,190.67. How much more did Yegar save than Craig? A. $536.66

STatiana [176]

This is a simple subtraction problem, but since you are in Elementary School, I will help you out.

Subtract $4,190.67 by $3,655.11 (remember, the bigger number should come first)

4,190.67
-3,655.11
 ...56

When a small number is on top of a bigger number, borrow 1 number from the number next to it (in this case, 0 is smaller than 5, so you must borrow 1 number from 9, making it to 8), then add the small number by 10 (0+0=10)
Then we continue...

 4,190.67
-3,655.11
 35.56

Do the same thing with 4 and 1.

4,190.67
-3,655.11
535.56

Answer: $535.56

6 0

3 years ago

In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is

Musya8 [376]

Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12

4 0

4 years ago

Read 2 more answers

What are the coordinates of the center of the circle x2+(y+5)2=16

Paul [167]

Yup it is 45 i think

3 0

4 years ago

The thickness of a protective coating applied to a conductor designed to work in corrosive conditions follows a uniform distribu

pochemuha

Answer:

$P(24< X$

And replacing we got:

$P(24< X$

Step-by-step explanation:

We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:

$X \sim Unif (a = 20, b=40)$