Answer:
Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.
Answer:
r = 35.18 mm
Step-by-step explanation:
We have,
The diameter of a reamed hole is 70.36 mm.
It is required to find the radius required to draw the hole.
The relation between diameter and radius is given by :
D = 2r
r is radius setting
So, the radius setting used to draw the hole is 35.18 mm.
Answer:
y = -3x - 10
Step-by-step explanation:
Equation to represent the given table can be written in the slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):
Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1
Slope (m) = -3
b = y-intercept = the value of y when x is 0 = -10
To write the equation, substitute m = -3 and b = -10 into y = mx + b.
Thus:
y = -3x + (-10)
y = -3x - 10
Beatrix was able to eat 21 raisins. Now, this 21 raisins is said to be 30% of the number of raisins inside the box. T
he question is, how many raisins, will there be in total inside the box?
Equation and solutions:
=> 30% = 30% / 100% = .31
=> .31x = 21
=> .31x / .31 = 21 / .31
=> x = 67.8 total number of raisins inside the box, or let's convert it to whole number
=> 67.8 = 68 count <span>
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