According to the triangle sum theorem, the total of all angles in a triangle must equal 180 degrees. Given that one angle measures 90 degrees, we can determine the other angles by calculating 180-90=90. The remaining two angles must sum to 90 degrees, precisely.
Answer:
0.5r
Step-by-step explanation:
If Jerry completed his journey in half the duration that Macy did, it implies Macy's time was twice as lengthy. Assuming Jerry’s speed is r, Macy’s speed would therefore be 0.5r, indicating she travels at half Jerry's pace and takes twice as long to cover the distance.
Response:
b + d = 180°, a = d, and a = c
Detailed explanation:
In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.
The amount of gravel and the area it covers are examples of ratios.
A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.
The relevant parameters are:

To find the number of pounds needed for 1 square foot , perform the following calculation:

Thus, we have:


Cross multiply

And divide both sides by 36

The area that 315 lb of gravel can cover is calculated as follows:
So, we have:


Cross multiply


And divide both sides by 252

Thus, 7 lb will cover
1 square foot
, and 315 lb will encompass an area of
45 square feet.
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