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Svet_ta [14]
3 years ago
13

3x + y = 64x + 2y = 8​

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

x=2 y = 0

Step-by-step explanation:

good luck

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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
How do you write 10 to the power of 3 in word form
AysviL [449]

Answer:

I believe that it would be 10^3. (10x10x10)

Sorry if I'm wrong I'm just a little confused with the question you asked :/

3 0
2 years ago
Simplify <br>it was x there so u not confused​
Mariulka [41]

Step-by-step explanation:

here's the solution: -

=》

\frac{x {}^{6} }{ {x}^{4} }  \times  {x}^{2}

=》

\frac{x \times x \times x \times x \times x \times x}{x  \times x \times x\times \: x }  \times x \times x

=》

x \times x \times x \times x

=》

{x}^{4}

5 0
2 years ago
-3(2x - 4) Please help
Elenna [48]
If you’re using distributive property you’re answer would be... -6x+12 hope I helped !
4 0
3 years ago
Help ASAP, NO LINKS OR YOU WILL BE REPORTED!! WILL GIVE BRAINIEST!
NeTakaya

Answer:

Question.... Why no links, i wont give you any, but why does everyone dislike links? Just so u know in am 9 and i am in high school :)

Step-by-step explanation:

7 0
3 years ago
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