Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
Answer:
24
Step-by-step explanation:
9+6(2+3/6)
9+6(2+1/2)
2+1/2 = 2.5
9+6(2.5)
9+15
24
Answer:
x = 4, y = 2
Step-by-step explanation:
Start by multiplying the first equation by 2:
2x + 2y = 12 --> 4x + 4y = 24
Subtract the second from the first:
4x + 4y = 24
- 5x + 4y = 28
4x - 5x = -x
4y = 4y = 0
24 - 28 = -4
so you end with -x + 0 = -4
Solve for x to get x = 4
Plug x = 4 back into 2x + 2y = 12 to find y.
2(4) + 2y = 12
8 + 2y = 12
2y = 4
y = 2
Answer:
3.05 or 31/2 pounds
56 ounces
Step-by-step explanation:
To find the total weight all the weights have to have the same units of measurements
It is either pounds is converted to ounces or ounces is converted to pounds
1. convert ounces to pound
1 ounce = 0.0625
12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4
add together = 1 1/2 + 3/4 + 1 1/4 = 
= 
= 3 1/2
2. 16 ounces = 1 pound
flour = 16 x 1 1/2 = 24
sugar = 16 x 1 1/4 = 20
total = 24 + 20 + 12 = 56 ounces
Answer:
Angles G and H are congruent.
Step-by-step explanation:
