The following
statements are true by definition:
The side
opposite ∠L is NM.
The side
opposite ∠N is ML.
The side
opposite to the angle should not contain any letter of that side.
<span>The following
statements are not essentially true because we have no idea if triangle LNM
is a right triangle (if it is, then we do not know what the hypotenuse is):</span>
The
hypotenuse is NM.
The
hypotenuse is LN.
<span>The following
statements are not true:</span>
The side
adjacent ∠L is NM.
The side
adjacent ∠N is ML.
They are not
true because the side adjacent to an angle should have its letter on the side.
For example, the side adjacent to ∠L should be LN or LM and
for ∠N it should be NM or NL.
<span> </span>
Answer: 22
Step-by-step explanation:
By the triangle midsegment theorem, QR=2(US)=2(11)=22.
A) 3/7 and B) 25%. Give me a like if I helped please :)
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
2.9
just answering wrong because i need points sorry
