Answer:
B. 94
Step-by-step explanation:
Angle B = 180 - 143 = 37°.
Angle B + Angle C + Angle D = 180°
37° + 49° + Angle D = 180°
Angle D = 180° - 86° = 94°
Answer:
Step-by-step explanation:
The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.
Here M = 64. The clock gains or losses in a day by
=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)
=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.
Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
![(15 + x) : (12 + 8) = x : 8](https://tex.z-dn.net/?f=%2815%20%2B%20x%29%20%3A%20%2812%20%2B%208%29%20%3D%20x%20%3A%208)
![15 + x : 20= x : 8](https://tex.z-dn.net/?f=15%20%2B%20x%20%3A%2020%3D%20x%20%3A%208)
Convert to fraction
![\frac{15 + x}{20} = \frac{x}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%20%2B%20x%7D%7B20%7D%20%3D%20%5Cfrac%7Bx%7D%7B8%7D)
Cross Multiply:
![(15 + x)*8 = 20 * x](https://tex.z-dn.net/?f=%2815%20%2B%20x%29%2A8%20%3D%2020%20%2A%20x)
![120 + 8x = 20x](https://tex.z-dn.net/?f=120%20%2B%208x%20%3D%2020x)
Collect Like Terms
![20x - 8x = 120](https://tex.z-dn.net/?f=20x%20-%208x%20%3D%20120)
![12x = 120](https://tex.z-dn.net/?f=12x%20%3D%20120)
Solve for x
![x = \frac{120}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B120%7D%7B10%7D)
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
<em>The length of the missing side is 10</em>
Answer:
the meaning of r at point c is c
Step-by-step explanation: yes
Answer:
Three acute angles.
Explanation:
There are always three acute angles in an acute triangle.