The sum of two numbers is 44 . One number is 3 times as large as the other. What are the numbers?
2 answers:
Answer:
11 and 33
Step-by-step explanation:
The the smaller number be . Since the other number is 3 times as large as the other, we can represent the large number as
. Because they add up to 44, we have the following equation:
Combine like terms:
Divide both sides by 4:
Substitute into
to find the larger number:
Therefore, the two numbers are 11 and 33.
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There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x
<h3><u>Solution:</u></h3>Given, There are "x" number of students at helms.
The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x
Number of students in next year = number of students in present year + increased number of students.
Thus there will be 1.078x students in next year
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
