You would use the SSS, ASA, AAS, RHS theorems to prove two triangles to be congruent.
The number of standard version download and high-quality download is 870 and 490 respectively.
<h3>Number of downloads of the high-quality version</h3>
let
- Number of high-quality download = y
- Number of standard version = x
x + y = 1360
2.9x + 4.1y = 4532
From (1)
x = 1360 - y
Substitute x = 1360 - y into (2)
2.9x + 4.1y = 4532
2.9(1360 - y) + 4.1y = 4532
3944 - 2.9y + 4.1y = 4532
- 2.9y + 4.1y = 4532 - 3944
1.2y = 588
y = 588/1.2
y = 490
Substitute y = 490 into (1)
x + y = 1360
x + 490 = 1360
x = 1360 - 490
x = 870
So therefore, number of standard version download and high-quality download is 870 and 490 respectively.
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Answer:
option E is your correct answer
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Answer:
The measures of each would be:
105° and 75°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.
So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.
∠1 = x
∠2 = x-30°
∠1 + ∠2 = 180°
So here we plug in our equations:
∠1 + ∠2 = 180°
x + x - 30° = 180°
2x - 30° = 180°
We solve for the x then:
Add 30° on both sides of the equation:
2x - 30° + 30° = 180° + 30°
2x = 210°
Divide both sides by 2:
2x/2 = 210°/2
x = 105°
∠1 = 105°
Now we solve for the second angle:
∠1 + ∠2 = 180°
105° + ∠2 = 180°
Subtract 105° from both sides of the equation:
105° + ∠2 - 105° = 180° - 105°
∠2 = 75°
Answer:
Step-by-step explanation:
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
