Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
Answer:
1. yes
2, no
3. yes
4. yes
Step-by-step explanation:
1. yes
If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.
2. no
We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.
3. yes
The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.
4. yes
With both pairs of opposite angles congruent, it must be a parallelogram.
Answer:
Lower quartile - (20+32) divided by 2 = 26
Median - (43+46) divided by 2 = 44.5
Upper quartile - 51
Step-by-step explanation:
64
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
-------------------
12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
