Answer:
The hight length : h
The base length : a
Apply the Pythagorean theorem in the right triangle :
h² = 13² - (10/2) = 144
h = √144 = 12 cm
S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
Figure B is .8 times the size of Figure A, so to find the value of x you would take the scale factor and multiply it by 5 in this case.
Answer: y=-2x+2/4
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
The answer is 24 root 3 or 41.56921938.
