Answer:
A.
Step-by-step explanation:
We have been given image of two parallel lines r and s cut by a transversal t. We are asked to find the measure of angle 1.
We can see from our given diagram that the angle that measures 30 degrees is corresponding angle to the supplementary angle of 1. So angle that measures 30 degrees will be supplementary angle of angle 1.
Since supplementary angles add up-to 180 degrees, so we can set an equation as:
Therefore, the measure of angle 1 is 150 degrees and option A is the correct choice.
For this case, the first thing to do is define variables.
We have then:
- <em>x: number of nickels
</em>
- <em>y: number of dimes
</em>
- <em>z: number of quarters
</em>
We write now the system of equations:
Then rewriting the equations we have:
Then, substituting values we have:
Finally:
Answer:
19 nickels
14 dimes
7 quarters
Answer: b = 1
Step-by-step explanation:
<u>Given</u>
6.8 - 4.2b = 5.6b - 3
<u>Add 4.2b on both sides</u>
6.8 - 4.2b + 4.2b = 5.6b - 3 + 4.2b
6.8 = 9.8b - 3
<u>Add 3 on both sides</u>
6.8 + 3 = 9.8b - 3 + 3
9.8 = 9.8b
<u>Divide 9.8 on both sides</u>
9.8 / 9.8 = 9.8b / 9.8
Hope this helps!! :)
Please let me know if you have any questions
Answer:
0.85
1.176
Step-by-step explanation:
E = 17/20 D
Let D = 1,
E = 17/20 × 1
E = 17/20 = 0.85
1 dollar = 0.85 Euro
E = 17/20 D
17/20 D = E
D = 20/17 E
Let E = 1,
D = 20/17 × 1
D = 1.176
1 Euro = 1.176 dollar
Answer:
It is not possible to construct a triangle with the given side lengths.
Step-by-step explanation:
We have been given three segment lengths and we are asked to describe about the construction of a triangle with given lengths: 10 cm, 5 cm, and 4 cm.
We will use triangle inequality theorem to answer our given problem.
Triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So let us check our given using triangle inequality theorem as:
Now check another side.
Since the sum of our given two sides is less than third side, therefore, we can not construct a triangle with our given side lengths.