Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
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There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
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:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
Answer:9
Step-by-step explanation:when an absolute value has a negative it turns to a positive which makes this problem 3x3
Answer:
3
Step-by-step explanation:
