Answer:
area = 44 cm²
Step-by-step explanation:
rectangle area = bh = 8 x 4 = 32 cm²
triangle height² = 5² - 4³ = 25 - 16 = 9
triangle height = 3
triangle area = 1/2bh = 1/2(8)(3) = 12 cm²
32 cm² + 12 cm² = 44 cm²
area = 44 cm²
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is
Y= 5x+42
-5x +y =42
He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
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Answer: A. 85.7
Step-by-step explanation:
Given : Two sections of a class took the same quiz.
Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.
We know that , 
Then , for section A :


Similarly in Section B, 
Total scores = Sum of scores in sec A+Sum of scores in sec B
=1200+1800=3000
Total students = Students in sec A +Students in sec B
=15+20=35
Now , the mean score for all of the students on the quiz =

Hence, the approximate mean score for all of the students on the quiz = 85.7
Thus , the correct answer is option A. 85.7.