10a) <u>x = 81</u> <u>y = 30.5</u>
Isolate y
2y + 20 = x
2y = x- 20
y = x/2 - 10
Plug in for y
4y - 6 + 64 + x = 180
4(x/2 - 10) - 6 + 64 + x = 180
4x/2 - 40 -6 + 64 + x = 180
4x/2 + 18 = 180
4x/2 = 162
4x = 324
x = 81
Plug in for x
2y + 20 = x
2y + 20 = 81
2y = 61
y = 30.5
10b) <u>x = 47</u>
Isolate x
4x -12 = 3x + 35
x - 12 = 35
x = 47
11)
2. definition of parallelogram
3. < ABD ≅ < BDC
4. < CBD ≅ <BDA
6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.
Hope this helps! ;)
Answer:
sides
a=7 (rounded)
b=3 (rounded)
c=8 (rounded)
angles
A=70
B=22.57
C=87.43
Step-by-step explanation:
a . given
b . given
c = a·sin(C)/sin(A)=7.54806
A . given
B = arcsin (b·sin(A)/a) = = 0.39393 rad = 22.57° = 22°34'13"
C = 180° - A - B = 1.52593 rad = 87.43° = 87°25'47"
Probability always sums up to 1
P(pizza) + P(cheeseburger) + P( chicken sandwich) + P(caesar salad) + P(macaroni and cheese) = 1
let P(caesar salad) be x
0.2 + 0.45 + 0.06 + x + 0.12 = 1
x= 0.17
Answer:
<h2>The unit digit of the square of 572 is 4</h2>
Step-by-step explanation:
In this problem, we are expected to tell what number is at the unit position of the square of 572.
firstly, what is the square of 572.
this is gotten as = 572^2
=572*572
=327184
from the result, the value at the unit position is 4
The unit digit of the square of 572 is 4
