Answer:
W = 73°
X = 81°
Y = 26°
Step-by-step explanation:
We can let W, X, Y represent the measures of the corresponding angles. The problem statement gives us the relations ...
W = 3Y -5
X = W +8
Of course, the sum of angles in a triangle is 180°, so we have ...
W +X +Y = 180
W +(W +8) +Y = 180 . . . . . substitute for x
2W +Y = 172 . . . . . . . . . subtract 8, collect terms
2(3Y -5) +Y = 172 . . . substitute for W
7Y = 182 . . . . . . . . add 10, collect terms
Y = 26 . . . . . . . . divide by 7
W = 3(26) -5 = 73
X = 73 +8 = 81
The angle measures are (W, X, Y) = (73°, 81°, 26°).
The answer is ether 25 or 50 I think.
Answer:
6.) No, you do not agree with Ted.
7.) x = 34 degrees
Step-by-step explanation:
6.) For a triangle to be valid, it must meet these requirements:
a+b>c
a+c>b
b+c>a
If it fails a single one, then it is invalid.
For example: 6+11 is not greater than 4. Therefor, Ted is incorrect
7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.
We have these clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 is a right angle
Any triangle must have its angles sum to 180 degrees
We also know that right angles are equal to 90 degrees.
Our updated clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 = 90 degrees
angles 1+2+3 must equal 180
So we can make this equation:
x+56+90=180
Add like terms and solve for x:
x = 34
By the Pythagorean Theorem:
DE=√(100-64)
DE=√36
DE=6 ft
So our area is just a 4by4 square and a triangle with a height of 8 and a base of 6 so
A=(4*4)+(6*8)/2
A=16+24
A=40 ft^2
Answer:
James running speed is 5 Miles per hours
Step-by-step explanation:
Given:
Length of the circular running track = 1/4 miles
Time Taken for Jane to make one complete lap = 1/20 of an hour
To Find:
James running speed = ?
Solution:
Let the speed at which James is running be X
then , we know that
Speed = 5 Miles per hours
