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Alina [70]
3 years ago
14

Determine the measures of the unknown (labeled) angles.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0
Look at the lower smaller triangle: a=180-58-69=53
Look at the larger triangle: the two interior angle a and b add up to equal the exterior angle which is 93 degree, so a+b=93, b=93-a=93-53=40
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What are the solutions of the equation 4x2 3x = 24 – x? –3, 2, or 4 –3 or 2 –2, 3, or 4 –2 or 3
Sedbober [7]

Answer:

2 and - 3

Step-by-step explanation:

I've attached my work...

- 4 + 20 / 8 -> 16/8 = 2

- 4 - 20 / 8 -> -24/8 = -3

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

5 0
2 years ago
The radius of a circle is 19 miles. What is the circle's circumference?<br> Use 3.14 for .
insens350 [35]

Answer:

119.38

Step-by-step explanation:

the circumference is πd so it is 19 X 2, which is 38, times π, which is 38π. this equals 119.38

7 0
3 years ago
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Think you can balance this scale?
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3 0
3 years ago
The junior and senior class officers are sponsoring a homecoming dance. The total cost for the facilities and catering is $45 pe
larisa86 [58]

Answer:

Domain is (0,∞)

Range is (45, ∞)

Step-by-step explanation:

Let x represents the number of persons and f(x) represents the average cost per person,

∵ Fixed cost = $ 2500

Also, additional cost is $ 45 per person,

So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,

= 2500 + 45x

\text{Average cost for x persons}=\frac{\text{Total cost}}{x}

\implies f(x)=\frac{2500+45x}{x}

Which is a rational function,

∵ A rational function is defined for all real numbers except those for denominator = 0

Denominator of f(x) = x

So, f(x) is defined for all real numbers except x ≠ 0,

Now, the cost can not be negative,

⇒ x > 0

Hence, the domain for f(x) is (0, ∞)

Again,

f(x)=45+\frac{2500}{x}

If x\rightarrow \infty

f(x)\rightarrow 45  

So, 45 < f(x) < ∞

i.e., range of f(x) is (45, ∞)

5 0
3 years ago
Peter bought 15.5 yards of cord. He paid $0.40 per yard. How much did Peter spend on cord? A. $0.62 B. $6.20 C. $38.75 D. $62.00
mihalych1998 [28]
B $6.20 because you multiply 15.5x0.40
7 0
3 years ago
Read 2 more answers
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