Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.
- 40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees.
- Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees.
- The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.
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1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.
2) 140 + x + x = 180 (equation)
- 140 + 2x = 180
- 2x = 180 - 140
- 2x = 40
- x degrees = 20 degrees
ANSWER: x = 20 DEGREES
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1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.
2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle
of left triangle.
2) 70 + 40 + y = 180
- 110 + y = 180
- y = 180 - 110
- y = 70 degrees
ANSWER: y = 70 DEGREES
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Whew. Hope this helps you out, and let me know asap if you're confused on any part.
20= 5 times as many fill ups divide both sides 5 20/5=5/5 times how many fill ups 4=1 how many fill ups so it’s 4 tanks
Answer: 76.35in²
Step-by-step explanation:
Circumference of a circle = 2πr or πd , while area is πr².
To find the area we must first of all find the radius if the circle using any of the formula above.we then equate 31 to 2πr and then solve for r.
31 = 2πr , where π = 3.142 or 22/7
r = 31/2 x 3.142
= 31 /6.284
= 4.93in
To find the area, substitute for r in the formula above,
Area = πr²
= 3.142 x 4.93²
= 3.142 x 24.30
= 76.35in².
Answer:
Null hypothesis: 
Alternative hypothesis:
And for this case we assume that we have equal variances so that means:
For this case the degrees of freedom are given by:
And replacing we got:
And the best answer would be:
a. 38
Step-by-step explanation:
For this problem we want to test the following:
Null hypothesis:
Alternative hypothesis:
And for this case we assume that we have equal variances so that means:
For this case the degrees of freedom are given by:
And replacing we got:
And the best answer would be:
a. 38
Answer:
-10.5
Step-by-step explanation:
-10.5 x -4 = 42
