Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,

(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
Answer:
<em>The percent error of the cyclist's estimate is 5.63%</em>
Step-by-step explanation:
<u>Percentages</u>
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
Answer:
- 64%: 1024
- 96%: 1536
- 132%: 2112
- 232%: 3712
Step-by-step explanation:
<u>64% of 1600</u>
64% of 1600 = 2 × (32% of 1600) = 2×512
64% of 1600 = 1024
<u>96% of 1600</u>
96% of 1600 = 3 × (32% of 1600) = 3×512
96% of 1600 = 1536
<u>132% of 1600</u>
132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512
132% of 1600 = 2112
<u>232% of 1600</u>
232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112
232% of 1600 = 3712
Step-by-step explanation:
you can open the file I gave you now. the answer is there