Answer:
The measure of angle B is 68° and the measure of angle C is 22°
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
m∠B+m∠C=90° -----> equation A
m∠B=3(m∠C)+2 ----> equation B
Substitute equation B in equation A and solve for m∠C
3(m∠C)+2+m∠C=90
4(m∠C)=90-2
4(m∠C)=88
m∠C=88/4
m∠C=22°
Find the value of m∠B
m∠B=3(22)+2=68°
therefore
The measure of angle B is 68° and the measure of angle C is 22°
Answer:
6
Step-by-step explanation:
That looks like a rectangular prism
The answer is 7.7 that is the answer
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
