All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure<span> of the angles, we know that the </span>sum<span> of all the angles is 1080 degrees (from above)... And there are eight angles... So, the </span>measure<span> of the interior angle of a regular </span>octagon<span> is 135 degrees</span>
Step-by-step explanation:
Area of the shaded region = area of the outer square - area of the inner square
= 22×22 - 15×15 sq ft
= 484 - 225 sq ft
= 259 sq ft
1.x=-6
2. y=-8/3 + 2x/3
3. x+3y+3x
Answer:
2
Step-by-step explanation:
You just need to put in the values of g and h into the equation.
h − 1 − 7 − g − 1 = 12 - 1 - 7 - 1 - 1
= 12 - 10
= 2
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°