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Marysya12 [62]
3 years ago
13

If ΔABC ∠ΔXYZ, m∠A = 50°, and m∠Y = 70°, find m∠C.

Mathematics
2 answers:
ZanzabumX [31]3 years ago
8 0
The answer is D) 60<span>°

All angles in a triangle equal 180</span><span>°. Since these two triangles are the same, you just need to find the missing angle. 70+50 = 120

180 - 120 = 60


Hope this helps!</span>
Papessa [141]3 years ago
4 0
Angle B and Angle Y are equal and we already have A so:

angle B + angle A + angle C = 180
70 + 50 + angle C = 180
120 + angle C = 180
angle C = 60

Hope this helps :)
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skelet666 [1.2K]

Answer:

The correct answer is a. $2275.28; b. 17.04 years

Step-by-step explanation:

Principal to be invested is $2000

Interest rate (r) per year is 6.5 quarterly.

Interest is calculated compoundly.

a. Time (t) for the investment is given to be 2 years.

Amount after two years is = Principal × ( 1+ \frac{r}{100n}) ^ {nt} where the value of n is 4.

⇒ A = 2000  × ( 1+ \frac{6.5}{400}) ^ {8}

⇒ A = $2275.28.

b. Now the value of A is given to be triple the principal = $ (3 × 2000).

Therefore we need to find the value of t.

⇒ 3 × 2000 =  2000  × ( 1+ \frac{6.5}{400}) ^ {4t}

⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)

⇒ t = 17.04

Therefore it would take 17.04 years for the principal to triple.

5 0
3 years ago
X/5-1=10<br><br> what is x in this equation?
Olin [163]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
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Step-by-step explanation:

<u>Step 1: Define</u>

x/5 - 1 = 10

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 1 to both sides:                    x/5 = 11
  2. Multiply 5 on both sides:            x = 55
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Step-by-step explanation:

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