Will pick BRAINLIEST!!
2 answers:
Hi there!
The question sounds really complex, but the mathematical operations behind it is figuratively simple. Here, we are told to find 19 (18.7 rounded up is 19) percent of 1,000. To do this, we can set up a proportion to model the whole scenario.
Now, just solve for x by cross multiplying and simplifying.
Therefore, 190 people out of 1,000 people leave out pertinent information on their IRS forms. Hope this helped and have a terrific day!
The question sounds really complex, but the mathematical operations behind it is figuratively simple. Here, we are told to find 19 (18.7 rounded up is 19) percent of 1,000. To do this, we can set up a proportion to model the whole scenario.
Now, just solve for x by cross multiplying and simplifying.
Therefore, 190 people out of 1,000 people leave out pertinent information on their IRS forms. Hope this helped and have a terrific day!
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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 = = 6 cm
Answer: 6 cm