Answer:
D. 286 deg
Step-by-step explanation:
Think of both triangles as just one single large triangle.
The exterior angles at the bottom have measure 127 deg.
That means the two interior angles at the bottom have measure
180 deg - 127 deg = 53 deg
The measures of the interior angles of triangle add to 180 deg.
The upper interior angle has measure:
180 deg - 53 deg - 53 deg = 74 deg
A full circle has 360 degrees.
Angle r is a full circle minus the upper interior angle of the combined triangle.
r = 360 deg - 74 deg
r = 286 deg
Given the point (-6, 32/3)
x-coordinates = -6
y-coordinates = 32/3 = 10 2/3
The graph of the point will be as follows:
To work out the average, you add all the terms and divide that by the number of terms there are.
64 + 63 = 127
127 ÷ 2 = 63.5
The answer is 63.5.
However, because these are only two consecutive integers, you just add 0.5 to find the average. e.g: average of 2 and 3 = 2.5, average of 3 + 4 = 3.5, average of 6 + 7 = 6.5 etc... Remember, this only works if there are only two integers and they are consecutive.
When two angles are supplementary, their angle measures add up to 180°. That means that the angles measures of angle m and angle n should add up to 180. With this information, you can set up the equation m + n = 180. You can find the value of x by substituting m and n with their values and solving algebraically.
6x + 3 + 2x - 7 = 180 Add up like values (6x and 2x) (3 and -7)
8x - 4 = 180 Add 4 to both sides
8x = 184 Divide both sides by 8
x = 23
Now to find the measures of angles m and n, substitute the x value into both of the equations and solve.
m = 6x + 3 Substitute
m = 6(23) + 3 Multiply
m = 138 + 3 Add
m = 141°
-----------------------------------------------
n = 2x - 7 Substitute
n = 2(23) - 7 Multiply
n = 46 - 7 Subtract
n = 39°
You can check your work by adding the two angle measures to make sure hey are supplementary.
141° + 39° = 180°
So angle m is 141° and angle n is 39°.
Answer:
71.72
Step-by-step explanation:
The total that Harvey need is 35.92+52.08=88
Then he just have 16.28
So he need to save 88-16. 28 =71.72
