Answer:
x = 13.5 units
Step-by-step explanation:
Segment drawn to join the two sides of the triangle is parallel to third side of the triangle.
Therefore, by basic proportionality theorem:

Answer:
70%
Step-by-step explanation:
I'm sorry but I don't really know how to explain it other than 70% of 30 is 21 so that means that 30% of the students turned their essay in on time.
(sorry for not being able to explain it but I hope it helped)
Answer:
The three unknown angles X, Y , and Z are:
X = 40, Y = 20, and Z = 120
Step-by-step explanation:
Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.
Then we can create the following equations:
X = 2 Y
Z = 100 + Y
and
X + Y + Z = 180
So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:
2 Y + Y + (100 + Y) = 180
4 Y + 100 = 180
4 Y = 80
Y = 80/4 = 20
Then X = 40, Y = 20, and Z = 120
Hey there! I'm happy to help!
Let's convert the decimals to fraction form.
0.5=5/10=1/2
-1/7
-0.2= -2/10= -1/5
1/3
We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.
First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.
-1/5, -1/7
And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :
-0.2, -1/7, 1/3, 0.5
Have a wonderful day and keep on learning! :D
Answer:
d; below; y = −2x + 2
Step-by-step explanation:
the equality ≤ means left to right that y is equal or less than. We see that 2 is equal or less than 3.
We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.