Answer:
1) m∠U = 90°
2) m∠C = 80°
Step-by-step explanation:
1) The given figure is a quadrilateral
The sum of the interior angles of quadrilateral = 360°
∴ The sum of the interior angles of the given figure = 360°
Therefore, we have;
80° + 24·x + 4 + 6 + 21·x + 90° = 360°
80° + 45·x + 10 + 90° = 360°
x = (360°- (80° + 10° + 90°))/45 = 4
x = 4
m∠U = 6 + 21·x = 6 + 21 × 4 = 90
m∠U = 90°
2) The sum of the interior angles of the given quadrilateral = 360°
∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°
86·x + 16 = 360°
x = (360° - 16°)/86 = 4
x = 4
m∠C = 20·x = 20 × 4 = 80
m∠C = 80°
3) In the figure, some angles are left out, therefore, more information on the remaining angles required
Answer:
3:4 is a ratio
Step-by-step explanation:
so every 3 cats their are 4 dogs ect
Answer:
40 degrees
Step-by-step explanation:
Angle ACO = 80 ( 180 - 100)
Angle CAO = 60 (180 - 120)
Angle AOC = 40 (180 - 80 - 60) (TOTAL DEGREES OF A TRIANGLE IS 180)
Given:
The fractions are:
To find:
The each fraction as the sum of a whole number and a fraction less than 1.
Solution:
The given fraction is 
.
Therefore, the given fraction can be written as 
.
The given fraction is 
.
Therefore, the given fraction can be written as 
.
The given fraction is 
.
Therefore, the given fraction can be written as 
.
Answer:
So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by
2.5/1 . Then, 20 x 2.5=50. So the answer is 50 km<-------------- Final answer
Hope this helps,
Adrian
Step-by-step explanation:
