Simplify the ratio : 35 minutes to 45 seconds
1 answer:
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Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°
∠2 = ∠4 = ∠6 = ∠8 = 102.5°
Step-by-step explanation:
In the picture attached, the parallel lines and the transversal are shown.
8 angles are formed, where:
∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8
On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:
∠1 + ∠1 + 25° = 180°
2∠1 = 180° - 25°
∠1 = 155°/2
∠1 = 77.5°
and
∠2 = 77.5° + 25° = 102.5°
The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
- Change in weight per day of hibernation = - 0.03
- Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
- y = - 0.03x + 0
- y = change in weight
- x = number of days of hibernation
- Intercept = 0
- Slope = -0.03
- The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.
- Using the regression equation, substitute, the vlaue of x = 115
- -0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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A two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°
- Line YZ should be drawn parallel to PQ
YZ is drawn parallel to PQ through the point R
<ZRP + <PRQ + <QRY = <ZRY
<ZRP = <RPQ [YZ // PQ]
<QRY = <PQR [YZ // PQ]
From the above,
<PQR + <RPQ + <PRQ = <ZRY =
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