Answer:
.022
Step-by-step explanation:
Answer on Khan
When we look at an ordered pair, it will be presented as (x,y)
The first term, x (called the x-coordinate), will tell us how far we should count outwards from 0 (The Origin). The second term, y (called the y-coordinate), will tell us how far we will count outwards from our x coordinate.
I hope this helps! If you would like me to elaborate more just let me know:)
Answer:
m qsr = 62°
Step-by-step explanation:
From my understanding, the question states 3 angles of a triangle
All 3 angles of a triangle are equal to 180°.
<u>Step 1: Find x</u>
<em>70 + 2x + 3x - 10 = 180°</em>
<em>70 + 5x - 10 = 180</em>
<em>5x = 180 - 60</em>
<em>x = 120/5</em>
x = 24°
<u>Step 2: Find angle qsr</u>
<em>m qsr = 3x - 10</em>
<em>m qsr = 3(24) - 10</em>
m qsr = 62°
!!
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
Answer:
Read the problem carefully. For the purposes of this step-by-step geometry proof, use the following example: Given that triangle ABC is an equilateral triangle and that line AD bisects line BC, prove that the resulting triangle ABD is a right triangle.Draw an illustration of the problem. Having a picture in front of you when doing a geometry proof really helps organize your thoughts.Consider what you know about each piece of given information. For example, because ABC is an equilateral triangle, all three sides must be the same length. Furthermore, all three angles must be equal as well. Since a triangle contains 180 degrees, then each angle in an equilateral triangle must measure 60 degrees. Moving on to the other piece of given information, since line AD bisects side BC, that makes line segments CD and DB equal in length.Use the facts established by the given information to generate more facts that are useful to your geometric proof. Since the line segments CD and DB are equal in length, that means the angle CAD must be equal to the angle DAB.Extrapolate from the facts to get closer to the solution. Since angle A is 60 degrees, the smaller angles must be one half of 60, or 30 degrees. Given that angle B is 60 degrees and that angle DAB is 30 degrees, this accounts for 90 degrees of a triangle. The remaining 90 degrees must be contained in the angle BDA. Since a right triangle must contain a 90-degree angle, you have just proven that triangle ABD is a right triangle.Write out the step-by-step geometric proof of the problem in a two-column format. In the left hand column, write a statement and in the right hand column, write the proof of the statement. Repeat this process until you have documented all of the steps in your thinking process that resulted in your solution.
Step-by-step explanation:
