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cupoosta [38]
2 years ago
6

Find the value of x and y

Mathematics
2 answers:
Iteru [2.4K]2 years ago
6 0
Your answer should be C so I agree with the person who answered before me
jonny [76]2 years ago
3 0

The answer is C. The easiest way to find this is by setting the top two angles added together to 180 because they divide a straight line. The just plug the numbers in and you get C

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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
PLS HELP Complete the table so that the numbers in each column represent the coordinates of a point on the graph
Natasha2012 [34]

Answer:

1 is 1/2 5 is 2 1/2 and 7 would be 3 1/2

Step-by-step explanation:

4 0
3 years ago
A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
ruslelena [56]
Hello There!

All you really need to do is multiply 160 with 32.

160 × 32 ≈ 5120 

5120 cm

Hope this helped!

7 0
3 years ago
Read 2 more answers
Please help with A, B, and C
makkiz [27]
A. 75 degrees because the angle creates by the car and the opposite 75 degree are vertical angles meaning that their congruent
B. 75 degrees because the 4the street and the 3rd streets are both Patel meaning that the angle of the car and the 75 degree angle on northeast angle of the fourth street are corresponding angels
C. 105 degrees because the 180 degrees which is the angle of a straight line subtracted from the 75 degree gives the answer of 105 degrees

4 0
3 years ago
What is the surface area of this square pyramid
JulsSmile [24]

Answer:

Surface area of square pyramid shown in picture:

A = area of 4 triangles + area of square

  = 4 x 4 x 3 x (1/2) + 3 x 3

  = 33 (ft)

=> Option 4 (last one) is correct

Hope this helps!

:)

3 0
2 years ago
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