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Misha Larkins [42]
3 years ago
10

Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two ang

les?
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

5x + 6 + 3x + 4 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = \frac{80}{8}

x = 10

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.

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horsena [70]

Step-by-step explanation:

x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰

x = 60⁰...

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3 years ago
Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​
Anika [276]

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

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3 years ago
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
8_murik_8 [283]

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

10x+20=80

Subtract both sides by 20.

10x=80-20

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Divide both sides by 10.

x=\dfrac{60}{10}

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So, the required equation is 10x+20=80

Therefore, the correct option is A.

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3 years ago
On a test that has a normal distribution, a score of 19 falls one standard deviation below the mean, and a score of 40 falls two
nexus9112 [7]

Hi there!

We can use the following equation:

\large\boxed{z = \frac{x-\mu}{\sigma}}

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σ = standard deviation

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2 years ago
a parabola contains the points (0,0),(-1,-2) and (1,6). what is the equation of the parabola in standard form?
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b = 4

Now we know a = 2, b = 4, and c = 0

Then, the equation of the parabola would be:

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3 years ago
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