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mihalych1998 [28]
3 years ago
9

Two complementary angles are in the ratio of 1:5. find the measure of the larger angle?

Mathematics
1 answer:
Luden [163]3 years ago
7 0
First you set up an equation using a variable:
x + 5x = 90° (complementary angles = 90°)
6x = 90
x = 15 (also the measure of the smaller angle)

now plug in x to find the larger angle:
5(15) = 75°
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suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household i
olganol [36]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\large \bold {ANSWER}

  • \implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}

9% of the family income is being spent to pay the energy bill.

\large \bold {SOLUTION}

<h2>HOW TO FIND OUT THE PERCENTAGE?</h2>

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

  • \frac{2000}{180} = \frac{100}{x}

With this we will multiply the denominator of one with the numerator of the other, being:

  • 2000 * X and 180 * 100
  • Where: 2000 * x is equal to 2000x
  • And 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

  • 2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

  • x = \frac{18000}{2000}

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

  • \begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}

We can conclude that the amount spent to pay the <u>energy bill is equivalent to 9% of the family income</u>.

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2 years ago
I really need some help!
jarptica [38.1K]

Answer:

84 in.

Step-by-step explanation:

6*6=36/2=18

6*11=66

18+66=84

7 0
3 years ago
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