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Arlecino [84]
3 years ago
5

In △ABC , m∠A=30° and m∠B=64° . In △DEF , m∠D=30° and m∠F=86° . Which statement about the triangles is true? △ABC is not similar

to △DEF . △ABC is similar to △DEF Not enough information is given to determine if △ABC is similar to △DEF
Mathematics
2 answers:
abruzzese [7]3 years ago
4 0
<span>△ABC is similar to △DEF. We can prove this by finding the missing angle measures.

C=180-(30+64)
C=180-94
C=86

E=180-(30+86)
E=180-116
E=64

Since A=30 and D=30, B=64 and E=64, and C=86 and F=86, the triangle are similar.

:)</span>
nekit [7.7K]3 years ago
3 0
Triangle ABC is similar to DEF
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12%+11%=23% so, $26,450/.23=$115,000.
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3 years ago
The interior ages of a triangle have measure
Nina [5.8K]

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

3 0
3 years ago
Read 2 more answers
Which combination of integers can be used to generate the Pythagorean triple (7,24,25)?
allochka39001 [22]
A Pythagorean triple is a set of thre integer numbers, a, b and c that meet the Pythgorean theorem a^2 + b^2 = c^2

Use Euclide's formula for generating Pythagorean triples.

This formula states that given two arbitrary different integers, x and y, both greater than zero, then the following numbers a, b, c form a Pythagorean triple:

a = x^2 - y^2

b = 2xy

c = x^2 + y^2.


From a = x^2 - y^2, you need that x > y, then you can discard options A and D.

Now you have to probe the other options.

Start with option B, x = 4, y = 3

a = x^2 - y^2 = 4^2 - 3^2 = 16 -9 = 7

b = 2xy = 2(4)(3) = 24

c = x^2 9 y^2  = 4^2 + 3^2 = 16 + 9 = 25

Then we could generate the Pythagorean triple (7, 24, 25) with x = 4 and y =3.

If you want, you can check that a^2 + b^2 = c^2; i.e. 7^2 + 24^2 = 25^2

The answer is the option B. x = 4, y = 3
3 0
3 years ago
Read 2 more answers
Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad
____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by  bike price × total number of bikes manufactured and sold

∴ R(x)  = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0
3 years ago
Mr. martin has 25 students in his class. 15 of his students are girls. what percent of mr. martin's students are girls?
garri49 [273]
15/25 = 3/5 = 0.6 = 60%
4 0
3 years ago
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