I’m confused can someone get me the answer

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Angle OPM and Angle LMK

When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.

Let me know if you don't understand my explanation.
-T.B.

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a carton of large grade a eggs weights about 1.5 pounds if a carton holds a dozen eggs how many ounces does each egg weigh

user100 [1]

The answer is: " 2 oz. " . (Assuming that EACH egg weighs the same).
___________________________________________________________
Explanation:
_______________________________________________________
Divide "1.5 lb" (that is, "1.5 pounds") ; {Note: "lb." = the abbreviation/symbol for weight in pounds}.
__________________________________________________________
by "12" (note: "one dozen" of anything equals "12") ; to find the weight of one egg in "pounds" (lb.); This is assuming that EACH INDIVIDUAL EGG WEIGHS THE SAME AMOUNT. Then we convert this value (weight of one egg, in pounds); to: "weight of one egg in OUNCES (abbreviation = "oz.").

→ Note the exact conversion: 1 lb. = 16 oz.
___________________________________________________
→ 1.5 lb. ÷ 12 = 3/2 lb. ÷ 12/1

= 3/2 lb. * 1/12 = (3*1)/(2*12) lb.

= (3/24) lb. = (3÷3)/(24÷3) lb.

= ⅛ lb.
_________________________________________________
→ Now, convert " ⅛ lb." to "ounces (oz.)" .

→ Note the exact conversion: 16 oz. = 1 lb.
__________________________________________________
So; (⅛ lb) * (16 oz / 1 lb)

= (⅛ * 16) oz = (⅛ * ¹⁶⁄₁ ) oz.

= ⁽¹ * ¹⁶ ⁾ ⁄₍₈ ₓ ₁₎ oz = ¹⁶⁄₈ oz = 2 oz.
______________________________________________________
The answer is: Each egg weighs 2 oz. (assuming that EACH eggs weighs the same.).
______________________________________________________
To check our work: Is our answer: "2 oz." (weight) per egg; reasonable??
_____________________________________________________________
Note: We have a dozen of eggs (quantity of "12"). The total weight (in "lb.", or "pounds", is "1.5 lb". (given in our problem). Since, 16 oz. = 1 lb. (exact conversion); let us convert the given "1.5 lbs" into oz.;

1.5 lb. * (16 oz / 1 lb) ; = (1.5 * 16) oz. = 24 oz.

2 oz. (weight) per egg * 12 eggs = 24 oz. . 24 oz. =? 24 oz. ? Yes! So our answer seems very reasonable!
______________________________________________________

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3 years ago

If y is directly proportional to x and y = 108 when x=9, what is the value of y when x =8 and x=7

natka813 [3]

Y ∝x
y= kx
substitute x and y values
108= k x 9
because you want to find k on its own you divide both sides by 9
108 ÷ 9 = 12
So k = 9
Now that we have 12 we can use this to find y
y = 12 x 8
You just simply times it because that's what y is
so y= 96 when x=8
To find y when x= 7 you do 7 x 12 which is 84
So y= 84 when x= 7

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3 years ago

What is the measure of angle C?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The given is a right triangle.

Two sides are given as 120 and 122.

120 is adjacent

122 is hypotenuse