Find m∠1 - Its Geometry

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is AE? Please help me

shepuryov [24]

The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10

4 0

3 years ago

Jon ran around a track that was 1/8 of mile long. He ran around the track 24 times. how many miles did Jon run in all?

NISA [10]

Jon ran 3 miles around the track.

8 0

3 years ago

Read 2 more answers

Given: angle 2 and angle 3 form a linear pair, angle 1 and angle 3 are vertical angles, and m angle 1, m angle 4, and m angle 5

Volgvan

Answer:

Step-by-step explanation:

<1 + <2 = 180 degrees (straight angle)

<3 + <5 + <4 = 180 degrees (straight angle)

<1 = <3 (vertical angles)

<1+<2 = <3+<4+<5 (straight angles)

<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)

<2 = <4 + <5

5 0

3 years ago

A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.

vladimir2022 [97]

Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.

Step-by-step explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

Total number of tiles = 10+5=15

we need to pick 5 tiles randomly,

So, Probability that 3 are consonants and 2 are vowels is given by

$\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{\frac{10\times 9\times 8}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}}{\frac{15\times 14\times 13\times 12\times 11}{5\times 4\times 4\times 3\times 2\times 1}}\\\\=0.3996$