Exterior Angles Theorem is used.
The exterior angle of a triangle is equal to the 2 opposite interior angles.
Therefore, 65+78=143°, since 65 and 78 are the 2 opposite interior angles.
So, the answer is 143°
A, E, and F are the answers
Answer:
cant help you out, there are no options
Answer:
75 mm^2
Step-by-step explanation:
use pythageron theorem to find the area of the triangle
7^2=5^2+b^2
b=4.489mm
multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.
4.489*5 = 24.49mm^2
Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left. That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is
5*10.1 = 50.5mm^2
add the areas together: 50.5 +24.49 = 75 mm^2
Answer:
- Q1. No solution
- Q2. (5, 6)
- Q3. Infinitely many solutions
- Q4. No solution
- Q5. (2, 3)
Step-by-step explanation:
Q1.
- y = -1/3x - 1
- x + 3y = -12
<u>Solution</u>
- x + 3(-1/3x - 1) = -12
- x - x - 3 = -12
- -3 = -12
No solution
Q2
<u>Solution</u>
(5, 6)
Q3
<u>Solution</u>
- 6x + 2(-3x + 3) = 6
- 6x - 6x + 6 = 6
- 6 = 6
Infinitely many solutions
Q4
- - 5x + y = 1
- - 10x + 2y = -2 ⇒ -5x + y = -1
<u>Solution</u>
No solution
Q5
<u>Solution</u>
- 1/2x + 2 = x + 1
- 1/2x = 1
- x = 2
- y = 3
(2, 3)
