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sweet-ann [11.9K]
3 years ago
11

What is the value of y?Y + 30°A. 85°B. 55 c. 110°D. 10°​

Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Answer:

B. 55°

Step-by-step explanation:

Note that the total angle measurements of a triangle is = 180°.

Add all the measurements together:

40 + y + 30 + y = 180

Simplify. Combine like terms:

(40 + 30) + (y + y) = 180

70 + 2y = 180

Isolate the y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract, then divide.

Subtract 70 from both sides:

70 (-70) + 2y = 180 (-70)

2y = 180 - 70

2y = 110

Divide 2 from both sides:

(2y)/2 = (110)/2

y = 110/2

y = 55

B. 55° is your answer.

~

Leni [432]3 years ago
3 0

Answer: The answer is B, 55 degrees.

Step-by-step explanation:

You substitute 55 into y, making it 55+85, +55, +40, making it 180 degrees. Since all sides in a triangle add up to 180, B is your correct answer.

Hope that helps!

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3 years ago
P = A + B + C Find P if A = 23 B = 17 C = 29 P=​
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator
rewona [7]

Answer:

f\left(-3\right)=\frac{126}{125}

Step-by-step explanation:

Given

f\left(x\right)\:=\:\left(5\right)^x+1

Putting x = -3 to find f(-3)

f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1

as

5^{-3}=\frac{1}{125}       ∵  \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

so

f\left(-3\right)=\frac{1}{125}+1

\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}

f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}

f\left(-3\right)=\frac{126}{125}      ∵ 1\cdot \:125+1=126

Thus,

f\left(-3\right)=\frac{126}{125}

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4 years ago
Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay,
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Difference = <span>(678.24 -452.16) = </span> <span> <span> <span> 226.08 </span> </span> </span> cc


3 0
4 years ago
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hope it helps!
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