Answer:
ST = 12 units
Step-by-step explanation:
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have:
RS / ST = AR / ET
(21 - ST) / ST = 6 / 8
4 * (21 - ST) = 3*ST
84 - 4*ST = 3*ST
7*ST = 84
ST = 12 units
Answer: 103/40, or 2 23/40 or, 2.575
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
Angles 1 and 2 are "corresponding angles" and as such are equal. Thus, the measure of angle 2 is 60 degrees.
Answer:
5
Step-by-step explanation:
When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,
4 ÷ 1/5 = 4 × (reciprocal of 1/5)
A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.
So the reciprocal of 1/5 is 5/1 = 5.
So 4 ÷ 1/5 = 4 × 5.
So your answer is 5.
hope it was useful!
Answer:
x=-1, y=5. (-1, 5). The first number is -1 and the second number is 5.
Step-by-step explanation:
6x+2y=4
2x+4y=18
---------------
-2(6x+2y)=-2(4)
2x+4y=18
-------------------------
-12x-4y=-8
2x+4y=18
----------------
-10x=10
x=10/-10
x=-1
6(-1)+2y=4
-6+2y=4
2y=4-(-6)
2y=4+6
2y=10
y=10/2
y=5
