We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Answer:
7846
Step-by-step explanation:
two 'minus' signs cancel each other out and become an 'plus' sign
therefore
7512-(-334) = 7512 + 334
= 7846
I don't know why you wrote ' write your answer as a 'mixed number ' in 'simplest form'. A mixed number can only be formed when you have a fraction, an improper fraction no less, the answer is a whole number, and therefore cannot be written as a mixed number in simplest form. If I am wrong pls let me know and elaborate by what you mean by 'mixed number' in the comments.
I believe it may be a trick question, but who knows.
Examples of fractions expressed as a mixed number.
19/8 = 2 3/8
17/5 = 3 2/5
Answer:
301.44 inches
Step-by-step explanation:
The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.
You want to find the distance that one rotation will take you, so you need the wheel's circumference.
Circumference = 2πr
2 x 3.14 x 16 = 100.48
100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.
100.48 x 3 = 301.44
Hey there! I'm happy to help!
Let's call our fraction x.
x=3.777......
We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.
We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.
10x=37.7777
-
x=3.77777
=
9x=34
We divide both sides by 9.
x=34/9=3 7/9.
Have a wonderful day! :D
Answer:
On Blue print 18 centimeters represents <u>3.6 meters</u>.
Step-by-step explanation:
Given:
Scale is 10 cm = 2 m
We need to find the number of actual meters are represented by 18 1818 centimeters on the blue print.
Solution:
Now we know that;
10 cm = 2 m
so 1 cm = Number of meters in 1 cm.
By using Unitary method we get;
Number of meters in 1 cm = 
Now we know that;
1 cm = 0.2 m
18 cm = Number of meters in 18 cm.
Again by using Unitary method we get;
Number of meters in 18 cm = 
Hence On Blue print 18 centimeters represents <u>3.6 meters</u>.
