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pochemuha
3 years ago
14

(please help asap!)

Mathematics
1 answer:
yuradex [85]3 years ago
8 0
Triangle FED = Triangle WXY
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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
Find an equation of each line given one point and the slope : (4, 8); slope 8
Fudgin [204]

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

3 0
2 years ago
How can individual attitudes and lack of response to injustice harm society as a whole? ​ (this was meant to be in history)
dmitriy555 [2]
I agree with the answer above me but i don’t rly know history so good luck
8 0
3 years ago
Select the correct answer.
kati45 [8]

Answer:

25

Step-by-step explanation:

divide 48 by 4 which is 25%

3 0
3 years ago
Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1
joja [24]

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + \frac{10}{100} x

Raymond earning = $ 1200 + \frac{15}{100} x

Given that the earnings of Jonathon & Raymond are same.

1500 + \frac{10}{100} x = 1200 + \frac{15}{100} x

300 =  \frac{5}{100} x

x = 6000 sales

Therefore the Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

4 0
3 years ago
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