Answer:
46.5
Step-by-step explanation:
Of all straight angles have 180 degrees in them.
So, to find x we need to form this equation:
x + 65 + x - 22 = 180
2x + 43 = 180
2x = 180-43
2x = 137
68.5 degrees = x
68.5-22 = 46.5 degrees.
m<CBD = 46.5 degrees.
m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.
Answer:
Option 4: <u>(2x + 16)° + (x)° = 180°</u>
Step-by-step explanation:
See the attached figure.
For a quadrilateral inscribed in a circle
The opposite angles are supplementary.
So, ∠D + ∠B = 180°
From the figure:
∠B = x° and ∠D = (2x+16)°
∴ <u>(2x + 16)° + (x)° = 180°</u>
Answer:
The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.
Step-by-step explanation:
Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.
Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

Now, solve for b by replacing the value obtained into the first equation

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.
The height of a square pyramid with 26.97^ 3 is 32.97
Answer:
Let the unknown number be x and the other greater number be x+7
(x+7)+x=17
2x=17-7
x=5
x+7=5+7
=12