Answer:
x = 5
Step-by-step explanation:
We have: The sum of the measures of angle M and angle R is 90°
M + R = 90°
M = (5x + 10)°
Plug M into (1)
the equation: (5x + 10)° + R = 90° (2)
R=55° into (2)
(5x + 10)° + 55° = 90°
5x + 10 + 55 = 90
5x + 65 = 90
5x = 25
x = 5
Answer:
98 x 3 = 294 or 3 x 98 = 294
Step-by-step explanation:
Since 294 divided by 3 is 98, that means 294 is 3 times 98. So, we can say:
3 x 98 = 294
We can also say that 98 x 3 = 294 since it doesn't matter in which order you multiply.
If this is all multiplication
145.8
{(2, 3), (1, 5), (2, 7)} - NOT because 2->3 and 2->7
{(11, 9), (11, 5), (9, 3)} - NOT because 11->9 and 11->5
{(3, 8), (0, 8), (3, -2)}
- NOT because 3->8 and 3->-2
{(-1, 5), (-2, 6), (-3, 7)} - YES
1. First, you must apply the formula
for calculate the sum of the interior angles of a regular polygon, which is
shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°