Cosine(angle) = adjacent leg/ hypotenuse
Cosine( angle ) = 18/20
Angle = arccos(18/20)
Angle = 26 degrees
Answer:
730, 735, 740
Step-by-step explanation:
Let the three consecutive multiples of 5 be, x, x+5 and x+10
Given,
x + x+5 + x+10 = 2205
3x + 15 = 2205
Subtract 15 from both sides,
3x = 2205 - 15
3x = 2190
Divide both sides by 3,
x = 2190/3 = 730
So, x= 730
x+5 = 735
x+10 = 740
Each student collects $1 per week.
There are 24 students, so combined, they collect $24 per week.
The time irt takes to collect $1500 is
$1500/$24 = 62.5
Answer 62.5 weeks, or if you need a whole number, 63 weeks.
<h3>Answer:</h3>

<h3>Solution:</h3>

<h3>Explanation:</h3>
Angle BDR is congruent to angle QDC because they share common angles. Angles BRD and QCD are congruent because lines BR and QC are <em>parallel</em> and line DR intersecting them creates <em>two corresponding angles</em>, BRD and QCD. Because of the reasons I mentioned, Triangles DBR and DQC are similar by Angle Angle Similarity Postulate and because these two triangles are similar they must share the same scaling factor of corresponding sides (example:
). So
.