Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
There is no solution to this system of linear equations
Sorry it is 2 nickel which equals ₵10 and 6 dimes which equals ₵60 and when you add them together they equal ₵70
QN = 28
Solution:
Given MNPQ is a parallelogram.
QT = 4x + 6 and TN = 5x + 4
To find the length of QN:
Let us solve it using the property of parallelogram.
Property of Parallelogram:
Diagonals of the parallelogram bisect each other.
Therefore, QT = TN
⇒ 4x + 6 = 5x + 4
Arrange like terms together.
⇒ 6 – 4 = 5x – 4x
⇒ 2 = x
⇒ x = 2
Substitute x = 2 in QT and TN
QT = 4(2) + 6 = 14
TN = 5(2) + 4 = 14
QN = QT + TN
= 14 + 14
QN = 28
The length of QN is 28.
Answer: D
Step-by-step explanation:
A. 3 + -7 < -4
-4 < -4
X
this one isn’t a solution
B. 3 + -7 ≤ -4
-4 ≤ -4
this works, let’s try the other equation
3(3) + 2(-7) < -5
9 + -14 < -5
-5 < -5
X
this one doesn’t work either, let’s go on to the next one
C. the first equation is the same as the first one in A, and that didn’t work, so we know that the whole thing doesn’t work and we don’t have to do any math
D. we know the first equation works because we did it in B
let’s go on to the second equation
3(3) + 2(-7) ≤ -5
9 -14 ≤ -5
-5 ≤ -5
this works, so that means that both equations work and the whole thing works :)
