Answer:
Sabemos que:

y tenemos que:

Con esto podemos encontrar el valor de a:
8*a/(a+ 4) = 6
8*a = 6*(a + 4) = 6*a + 24
8a - 6a = 24
2a = 24
a = 24/2 = 12.
Tambien sabemos que:

Y de ahí podemos despejar b:
(16*b)/(b + 8) = 12
16*b = 12*(b + 8) = 12b + 96
16b - 12b = 96
4b = 96
b = 96/4 = 24
Entonces tenemos a = 12 y b = 24, y el MH de a y b es:
MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16
Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre
<span>Polygon ABCD is a parallelogram
m<ABC = m<ADC = 127
360 - 2(127) = 360 - 254 = 106
m<BCD = m<BAD = 106/2 = 53
</span>P = 2(10 + 5) = 2(15) = 30
answer
<span>The perimeter of the parallelogram is 30 units, and </span>m<BCD is 53°
Answer:
.
Step-by-step explanation:
We have been given an equation
. We are supposed to solve our given equation step by step.
Step 1: Use the distributive property.


Step 2: Combine like terms.


Step 3: Use subtraction property of equality:


Step 4: Use the division property of equality:


Therefore, the solution of our given equation is
.