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°
Answer:
x = 29.7 degrees
Step-by-step explanation:
all triangles interior angles add up to 180 degrees
180 - x - 132.2 - 18.1 = 29.7 degrees
Answer:
48 ft²
Step-by-step explanation:
The area of the green shaded part will be :
Area of the entire rectangle green shape assumed complete minus the area of the removed parts{ small rectangle + triangle }
<u>Area of the entire rectangle green shape assumed complete</u>
Area= length * width
A= l*w
A= 5ft * 12 ft = 60 ft²
<u>Area of small rectangle removed part</u>
2 * 3 = 6 ft²
<u>Area of the triangle removed</u>
A= 1/2 * b * h
A= 1/2 * 3 * 4
A= 6 ft²
<u>Area of the outdoor carpet needed for the hole</u>
<u />
60-{6+6}
60 -12 = 48 ft²
Why would you only give 5 points for someone to do this? First of all it gives an example on the top. So you multiply all 3 together like the 5th question 2•2•2=8 (8 cm^3 would be the answer for number 5) understand?