Answer:
Measure of the 4th angle = 360-(102+84+77)
= 360-263
= 97°
Hope this helps!
Step-by-step explanation:
calculate the x-intercept by making y=o and substitute the values of x into the equation to get y-values
The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.
<h3>How many bars can be cut from the pan in each case?</h3>
The total area of the given pan can be evaluated as follows;
Area = length × width
= 9 × 13
= 117 square units.
Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;
= 117/(1×1)
= 117 1" X 1" bars.
For the 2" X 2" square bars, we have;
= 117/(2×2);
29 remainder 1 square unit.
Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.
Read more on area;
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Answer:
3,500,000/ 13
It means every 13 years it grows 3,500,000.
Step-by-step explanation:
The slope is a ration of the vertical distance to the horizontal distance between any two points on the line. This means count the up and down distance and the left and right distance between two points.
Find two points on the line that cross through the grid line intersections like here (200, 500,000) and (2013, 4,000000).
The vertical distance is 4,000,000 - 500,000 = 3,500,000.
The horizontal distance is 2013-2000 = 13.
Write a ratio or fraction between the two distances.
3,500,000/ 13
It means every 13 years it grows 3,500,000.
DAY 15: The measures of the angles in a certain triangle are in the ratio 1: 5: 6. Find the measure of the smallest angle.
x +5x +6x=180
12x =180
x=15º
DAY 16: In triangle ABC, the measure of angle A = 7x - 32, the measure of angle B = 3x + 4, and the exterior angle at C has measure 12 (x - 5). Find the value of x.
exterior angle = sum of two remote (other) interiors
7x -32 +3x+4 =12(x-5)
10x -28 =12x -60
32-2x
x=16
DAY 17: Find the slope of the line perpendicular to the line through the points (21, 11) and (-4, -12).
11 - -12 / 21 - -4 =23/25
slope of perpendicular line is negative reciprocal =
-25/23 ( no 17!)
DAY 18: In a certain triangle, the largest angle is 6 times the smallest. The third angle is 18 less than 4 times the smallest. What is the measure of the smallest angle?
x= smallest
6x =largest
third angle =4x-18
x+6x +4x-18 =180
11x =198
x=18º
