Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
NO.
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. So, in other words, 2 shapes or figures in geometry are congruent if they have the exact same size and shape.
A rectangle has 2 pairs of parallel sides. One pair is longer than the other pair. Therefore, to be congruent, all sides have to be equal, which is a square, not a rectangle. So the answer is NO.
Answer:
<u>Use Pythagorean theorem:</u>
#7
- 3² + 7² = 9 + 49 = 58
- (√57)² = 57
- 58 ≠ 57
- No
#8
- 11² + 2² = 121 + 4 = 125
- (5√5)² = 25*5 = 125
- 125 = 125
- Yes
Answer:
4/9
Step-by-step explanation:
Finally, I can put my answer!
Answer:
B) $822
Step-by-step explanation:
The total amount of money she spent can be found by adding her expenses:
312 + 287 + 112 + 111
Once added you get the total amount of:
$822
