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3 years ago

The triangles below are similar & congruent angles are marked. Find the length of side BC or side DE.

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

Congruent triangles have both the same shape and the same size. triangles ABC and DEF are congruent; they have the same angle measures and the same side lengths.

Similar triangles have the same shape, but not necessarily the same size. In the figure below, triangles ABC and XYZ are similar, but not congruent; they have the same angle measures, but not the same side lengths.

Step-by-step explanation:

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If it takes 16 men 15 days to complete a work,how long will it take 20 men?

ASHA 777 [7]

Answer:

10 days and 16 hours.

Step-by-step explanation:

15 men work in 16 days to complete the work. So 1 man contributes 16/15 days.

For 20 men there is an addition of 5 men. [20–15)* 16/15] days = 16/3 days. Substract 16/3 days from 16 days = 16 - (16/3) = 10 days and 16 hours.

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3 years ago

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Paintbrushes cost $0.55 each at a certain store. Evelyn spent $3.85 on paintbrushes.

Darina [25.2K]

She bought 7 paintbrushes
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3 years ago

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Help me the questions and answer choices are in the picture

Anika [276]

Using the Triangle Inequality Theorem

The sum of two side lengths of a triangle is always greater than the third side

first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle

second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle

Answer:
Second option
8 cm, 15 cm, 22 cm

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4 years ago

Solve the simultaneous equation, 2p - 3q = 4 3p + 2q = 9

Kobotan [32]

Answer:

p = $\frac{35}{13}$ and q = $\frac{6}{13}$

Step-by-step explanation:

Given equations:

2p - 3q = 4 -----------(i)

3p + 2q = 9 ------------(ii)

Let's solve this equation simultaneously using the elimination method

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4] x 3

[3p + 2q = 9] x 2

6p - 9q = 12 -------------(iii)

6p + 4q = 18 -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

[6p - 9q = 12]

- [6p + 4q = 18]

-13q = -6 -----------------(v)

(c) Next, make q subject of the formula in equation (v)

q = $\frac{6}{13}$

(d) Now substitute the value of q = $\frac{6}{13}$ into equation (i) as follows;

2p - 3( $\frac{6}{13}$ ) = 4

(e) Now, solve for p in d above

Multiply through by 13;

26p - 18 = 52

Collect like terms

26p = 52 + 18

26p = 70

Divide both sides by 2

13p = 35

p = $\frac{35}{13}$

Therefore, p = $\frac{35}{13}$ and q = $\frac{6}{13}$

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3 years ago

AEFG is located at E (0,0), F (-7, 4), and G (0,8). Which statement correctly classifies AEFG?

viva [34]

Answer:

ΔEFG is an isosceles triangle

Step-by-step explanation:

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3 years ago