Answer:
t = 30
s = 25
r = 55
Step-by-step explanation:
Let's begin by r
r is angle in quadlitral shape, so the sum of the interior angles = 360
r = 360 - (95 +100+110) = 55
Then Now it's time for ( t )
Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180
so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30
Similarly, look at the triangle whose angles are r, s and 100
s = 180 - (100 + r) = 180 - (100 + 55) = 25
I hope you find this helpful! If you have any questions, please feel free to ask them in the comments
Answer:
Solve for x: x + 128 = 180, x = 52°
Solve for y: x + y = 90 or 52 + y = 90, y = 38°
Step-by-step explanation:
In order to solve for the measures of ∠x and ∠y, you first need to remember that angles that are complementary add up to 90° and angles that are supplementary add up to 180°. So, in order to solve for 'x', which is supplementary to a 128° angle, we can set up an equation where the sum of ∠x and 128° = 180°:
x + 128 = 180, subtract 128 from both sides: x + 128 - 128 = 180 - 128, x = 52°
Knowing that ∠x + ∠y = 90° and now that ∠x = 52°, we can set up the second equation:
52 + y = 90, subtract 52 from both sides: 52 + y - 52 = 90 - 52 or y = 38°
Isometric is handy to see how it looks in 3D. You look down at the object from an elevated angle. Isometric drawings are done in a way to give the illusion it is three dimensional. The grid type is a series of triangles.
An orthographic drawing is the object broken down into three parts: front view, side view, top view. Each of which are 2D. These three aspects help you visualize how they come together to form the 3D view. The orthographic aspect is also to help determine area, surface area, linear dimensions, etc.
Since we want the area of the ground covered, it's best to go with an orthographic view. Specifically the top view. This is a birds-eye view looking straight down at the object.
Answer: Orthographic is best
Side Note: CAD drawings often have the isometric and orthographic drawings done together to help better visualize the 3D object.
Answer:
Michael needs to purchase 1 5/8 feet more of metal flashing.
Step-by-step explanation:
To have the same denominator in both fractions, you can multiply 4 by 2. This will turn out to be 8, resulting in 8 being our common denominator. To achieve this, multiply:
<u>7</u> x <u>2</u> = <u>14</u> or 1 6/8
4 2 8
We next add both fractions together, resulting in:
3 1/8 + 1 6/8 = 4 7/8
The fraction 6 1/2 can also be expressed as 6 4/8, so to find out how much metal Michael still needs to purchase, subtract 4 7/8 from 6 4/8.
So the sample space is S={HH,HT,TTTH}
1) 2/4
2) 3/4
3) 1/4