<span>You are told that the two angles are supplementary. That means that when you add the measure
of angle A (call it mA) and the measure of angle B (call it mB) the resulting sum is 180 degrees.
This relationship can be written in equation form as:
.
mA + mB = 180
.
You are also told that the two angles are congruent. This means that their measures
are equal. You can write this relationship as the equation:
.
mA = mB
.
From this second equation you can see that wherever you have mA you can substitute mB
in its place because they are equals. So go back to the equation:
.
mA + mB = 180
.
In place of mA substitute mB. This makes the equation become:
.
mB + mB = 180
.
On the left side you can see that the sum is 2 times mB or 2*mB. Make this simplification
to get:
.
2*mB = 180
.
To solve for mB divide both sides of this equation by 2. When you do that division the
equation reduces to:
.
mB = 180/2 = 90
.
This tells you that the measure of angle B is 90 degrees, and that means that the measure
of angle A is also equal to 90 degrees because the two angles are congruent.
I hope this helps!</span>
Y=3x -7
you can figure this out or check if it’s correct by using point slope formula,
which is : y-y1=m(x-x1)
y1=-4, x1=1, and m=3 :)
Answer:
True
Step-by-step explanation:
If the triangle was a right angled triangle then we can prove it using the Pythagoras theorem: c² = a² + b²
c is the largest side and a and b are the two smaller sides of the triangle.
So if this is true then √72² + 154² should be 170:
170² = 72² + 154²
28900 = 5184 + 23716
28900 = 28900
So we have proved using Pythagoras theorem that the triangle is a right angled triangle.
Answer:
88 points
Step-by-step explanation:
score of fifth game = total point in fifth game - total point in fourth game
Total point in games = average number of points x number of games
(76 x 5) - (73 x 4)
= 380 - 292
= 88 points
The range is 25
That’s the answer
