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Gennadij [26K]
3 years ago
11

Find the Error: A student is finding the measures of the angles in a triangle that have the ratio 4:4:7. Find the mistake and co

rrect it.
4x + 4x + 7x = 180
15x = 180
X = 12

So, the angle measures are 12, 12, and 84.​

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0

Answer:

angles are 48°, 48°, 84°

Step-by-step explanation:

ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )

the sum of the 3 angles = 180 , then

4x + 4x + 7x = 180 , that is

15x = 180 ( divide both sides by 15 )

x = 12

the student made the error of assuming x = 12 was the size of the 2 equal angles.

the correct angles are

4x = 4 × 12 = 48°

4x = 4 × 12 = 48°

7x = 7 × 12 = 84°

Vikki [24]3 years ago
6 0

Answer:

84 is the only correct one, the angle measures 12 and 12 should be 48 and 48

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Robin's scores: 99, 108, 102, 107, 119
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<h3>The medians does'nt support the conclusion</h3>

<em><u>Solution:</u></em>

Given that,

Robin's scores: 99, 108, 102, 107, 119

Order the number from least to greatest

99, 102, 107, 108, 119

Median is the middle value of data set

Median is 107

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Order the number from least to greatest

125, 137, 138, 145, 145

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The median of Evelyn's scores is greater than the median of Robin's

Therefore, the medians does'nt support the conclusion.

4 0
4 years ago
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Tennis court is 78 feet wide and 27 feet long what is the perimeter of this tennis court
GalinKa [24]

Answer:

105

Step-by-step explanation:

add them together

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4 years ago
A composite solid consists of a cube with edges of length 6cm and a square pyramid with base edges of length 6cm and height of 6
icang [17]

Answer: The volume of the solid is 324 cm³

Step-by-step explanation:

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Where s represents the length of each side of the cube.

From the information given, s = 6 cm

Volume = 6³ = 216 cm³

The formula for determining the volume of the square base pyramid is expressed as

Volume = Area × height × 1/3

From the information given,

Length of square base = 6 cm

Height = 6 cm

Area of square base = 6² = 36 cm²

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5 0
4 years ago
An online company sells handmade samurai katana swords. The website costs $ 390 a month to maintain. Each katana costs $ 195 to
Arada [10]

Answer:

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Fixed cost to maintain the website per month is $390.

Total cost incurred per month is $ (195x + 390).

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Total selling price of x swords per month is $695x.

Therefore, Net monthly profit y =695x - (195x + 390)

⇒ y = 695x - 195x - 390

⇒ y = 500x - 390

Thus the linear model would look like y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit.

B. Now, given monthly profit y = $2090.

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A minimum of 5 swords need to be sold to get a monthly profit of more than $2090.

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3 years ago
Draw a two-card hand from a well-shuffled standard deck of cards. Given that the first card is a King, what is the chance the se
Leni [432]

Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

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Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

7 0
3 years ago
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