Since < ABD is a right triangle (with a measure of 90 °), we can establish the formula to solve for the value of x:
Let < BAC = m < 1 = (15x - 2)°
< CAD = m < 2 = (7x + 4)°
Use the formula:
m < 1 + m < 2 = 90°
Substitute the values of m < 1 and 2:
15x - 2 + 7x + 4 = 90°
Combine like terms:
22x + 2 = 90°
Subtract 2 from both sides:
22x + 2 - 2 = 90° - 2
22x = 88°
Divide both sides by 22:
22x/22 = 88/22
x = 4
Now that we have the value of x, we can plug this value into the given angles:
< BAC = m < 1 = (15x - 2)° = 15(4) - 2 = 58°
< CAD = m < 2 = (7x + 4)° = 7(4) + 4 = 32°
m < 1 + m < 2 = 90°
58° + 32° = 90°
90° = 90° (true statement).
Therefore, (15x - 2)° = 58° and (7x + 4)° = 32°.
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Answer:
60 ounces
Step-by-step explanation:
there are 16 ounces in a pound plus the extra 4 ounces times 3 is 60 ounces in total
Answer:
Slope of the line 12=4x−6y is .
Step-by-step explanation:
The slope line form is denoted by
y = mx + c
Where m is the slope and c is the y- intercept .
As given
The equation of the line is given by .
12=4x−6y
It is also written as
6y = 4x - 12
Simplify the above
(Compare with y = mx + c )
Thus
Therefore the slope of the line 12=4x−6y is .
Answer:
208 cm²
Step-by-step explanation:
First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².
Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²
Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²
Answer:
15.14 cups is the answer, just do 5*3 then put the 14 into place it should be the answer