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HACTEHA [7]
3 years ago
7

What the two triangles have in common?!

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0
I notice that both triangles have corresponding angles.
This means the triangles are similar.
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In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
Help me with this!!!
PIT_PIT [208]

Answer:

Total  probability value is 1

P(green) = 0.2 , P(brown) = 0.54

Given P(red) = P(yellow) = x

Total Probability = P(green) + P(Brown) + x + x

1 = 0.2 + 0.54 + 2x

1 - 0.74 = 2x

x = 0.13

P(red) = P(yellow) = 0.13

Now number of times it landed on each color :

On \ red :\\P(red) = \frac{number \ of \ times \ on  \ red}{1200} \\\\0.13 *1200 = number \ of \ times \ on \ red\\number \ of \ times \ on \ red\\ = 156\\

Since P(red) = P(yellow) , the number of time on yellow and red are same.

On \ yellow :\\number \ of \ times \ on \ yellow = 156

On \ green :\\P(green ) = \frac{number \ of \ times \ on \ green}{1200}\\\\0.2 *1200 = number \ of \ times \ on \ green\\\\number \ of \ times \ on \ green = 240

On \ Brown : \\P(brown) = \frac{number \ of \ times \ on \ brown}{1200}\\\\0.54 *1200 = number \ of \ times \ on \ brown\\number \ of \ times \ on \ brown = 648

Answer :

Red      156

Green   240

Brown   648

Yellow   156

8 0
3 years ago
Two equivalent ratios 3:4<br> What are 2 equivalent ratios to 3:4
Step2247 [10]

Answer:

9:12 and 12:16

Step-by-step explanation:

3/4 = 0.75

9/12 = 0.75

12/16 = 0.75

4 0
4 years ago
Read 2 more answers
Help help help help
ale4655 [162]

t = 2/3. Multiply the numbers in the parentheses by -1. It becomes 9t + -3t + -3 = 1. Combine like terms to get 6t + -3 = 1. Add 3 to both sides to get 6t = 4. Divide both sides by 6. t = 2/3

3 0
4 years ago
A figure has vertices at A(—3, 2), B(—l, —l), and C(—4, —2). After a transformation,the image of the figure has vertices at A'(3
Leokris [45]

Answer:

rotate 180° about origin

8 0
2 years ago
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