Let the measures of the base angles be x, and the measure of the vertex angle be y.
y is bisected, and "each resulting angle is 51 degrees larger than a base angle"
y/2=x+ 51, thus y=2x+102°.
The measures of the interior angles are x-x-(2x+102)
The sum of the measures of the interior angles of any triangle is 180°, thus we have:
x+x+2x+102°=180°
4x=180°-102°
4x=78°
x=78°/4=19.5°
The measure of the obtuse angle is 2x+102°=2*19.5°+102°=141°
Answer: 141°
Answer:
24 pencils : 64 pens
Step-by-step explanation:
pencils : pens
12:32
Twice as many pencils mean multiply each by 2
12*2 : 32*2
24: 64
24 pencils : 64 pens
Answer:
C) 54.5
Step-by-step explanation:
to find the constant of this proportional x and y table;
first divide y by x.
eg. 163.5 divided by 3, which results in 54.5
next, to confirm this is our answer, we need to divide y by x once more.
eg. 327 divided by 6, which also results in 54.5
hope this helped! have a great day/night!! :')
Answer:
The answer to your question is: n = 95°
Step-by-step explanation:
The sum of the suplementary angles equals 180°
Then
121 + x = 180
x = 180 - 121
x = 59°
144 + y = 180
y = 180 - 144
y = 36°
The sum of the internal angles in a triangle equals 180°
x + y + z = 180
59 + 36 + z = 180
z = 180 - 59 - 36
z = 85
Finally
n + 85 = 180
n = 180 - 85
n = 95°
Parallel lines have the same slope, so if you know the slope of a line you automatically know the slope of all lines parallel to yours.
So, if the slope of line m is 1/25 , the slope of line p is also 1/25