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julia-pushkina [17]
2 years ago
10

What is the value of h in the figure below? In this diagram, BAD ~ CBD (Help ASAP)

Mathematics
2 answers:
masha68 [24]2 years ago
8 0
To get the value of h we use proportionality:
ΔABC is similar to ΔADB and is similar to ΔBDC this is because they are right triangles. This implies that there corresponding sides are equal. Hence:
AD=25-16=9
using Pythagorean theorem:
c^2=a^2+b^2
then:
AB^2=(h^2+9^2)
Also:
(BC)^2=(AB)^2+(AC)^2

=25^2-(h^2+9^2)

Also:
(BC)^2=(BD)^2+(DC)^2
thus
(BC)^2=h^2+16^2
hence combing the values for (BC)^2 we get:
25^2-(h^2+9^2)=h^2+16^2
simplifying we obtain:
625-h^2-81=h^2+256
putting like terms together
625-81-256=h^2+h^2
288=2h^2
thus
h^2=144
hence
h=√144
h=12 units

svet-max [94.6K]2 years ago
8 0

Answer:

ANSWER IS 12

Step-by-step explanation:

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Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
Naddik [55]

Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

2. \ 1+Tan^2\theta=Sec^2\theta

3. \ 1+Cot^2\theta=Csc^2\theta

4. \ Sin^2\theta=1-Cos^2\theta\\  \ \ Cos^2\theta=1-Sin^2\theta

 

Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

4 0
2 years ago
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Which equation represents the graphed function?
Alika [10]

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (2-3)/(3-0)

   -1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = -1/3x +3

5 0
2 years ago
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A client would like a logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 in
Valentin [98]

Answer:

to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56

Step-by-step explanation:

3 0
2 years ago
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Shanelle already has $137 from babysitting. She needs at least $625 for a new tablet. Which inequality best represents this scen
kap26 [50]

Answer:

t + 137 ≥ 625

Step-by-step explanation:

Shanelle already have in her possession the sum of $137 from babysitting.  She requires at least $625 for a new tablet. t is the remaining amount she needs to get the new tablet.

She already has $137 and to get the tablet she needs at least $625 . This means she needs nothing less than or equal to $625 to get the tablet.  Recall t is the remaining amount needed to add to what she has to be able to reach the least amount required to purchase a tablet. Therefore , the sum of t and the amount of money already in her possession should be equal to or greater than $625.

To get the new tablet,

t + 137 ≥ 625

5 0
2 years ago
Triple my number add six and subtract my number twice I get my number plus three
liberstina [14]
Let the number be x.

Triple the number means 3x
add 6 means 3x + 6
subtract the number twice 3x + 6 - x - x
the result is the number plus 3 means that the result is x + 3

So, combining these into an equation, we get:
3x + 6 - x - x = x + 3

If we solve this equation for x, we will get:
x + 6 = x + 3
The x will cancel out and we will get : 6 = 3

Therefore, this is a false statement.
8 0
2 years ago
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