Let the angles be A and C
<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>
<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>
<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>
<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
Answer:
Step-by-step explanation:
Since 15 liters of water flow through a water pipe and enter a tank within 4.5 minutes, the same amount of water would flow through a similar pipe at the same time. Therefore, if two similar water pipes are used, the volume of water that would flow into the tank in 4.5 minutes is 15 × 2 = 30 liters
Therefore, the time it will take to pump 727.5 liters of water into a water tank using 2 similar water pipes is
(727.5 × 4.5)/30 = 109.125 minutes
Answer:
1. 9
2. 5
Step-by-step explanation:
Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>
A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
Read more on area of a rectangle here: brainly.com/question/25292087
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Answer:
-10
Step-by-step explanation:
12-30
3z+12-30=-48
3z=-30
z=-10