Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
__
(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
__
(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
__
(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
<span>4(6) + 7 (5 - 3 )
= 24 + 7(2)
= 24 + 14
= 38
answer
</span><span>D: 38</span>
Answer:
The value could replace q is 108 - n ⇒ the last answer
Step-by-step explanation:
* Lets study the values of quarters and nickles
- One quarter = 25 cents
- One nickle = 5 cents
- The number of coins is 108
- The coins are nickles or quarters only
- The coins worth $ 21
* Lets solve the problem
∵ The number of coins is 108 coins
- Let the quarter is q and the nickel is n
∴ q + n = 108 ⇒ (1)
∵ The coins worth $21
∵ $ 1 = 100 cents
∴ $21 = 21 × 100 = 2100 cents
∵ The quarter = 25 cents
∵ The nickels = 5 cents
∴ 25q + 5n = 2100 ⇒ (2)
- To find the value which replace q use equation (1)
∵ q + n = 108 ⇒ subtract n from both sides
∴ q = 108 - n
* The value could replace q is 108 - n
Answer: 6.125 or 6¹/₈ units of water
Step-by-step explanation:
There are 7 people in the family and each of them are mean to drink 7/8ths of water.
The amount of water all 7 should take is therefore:
= 7 * 7/8
= 49/8
= 6.125 or 6¹/₈ units of water
